An anticipated outcome that is intended chapter is to investigate effects of magnetic field on an oscillatory flow of a viscoelastic fluid with thermal radiation, viscous dissipation with Ohmic heating which bounded by a vertical plane surface, have been studied. Analytical solutions for the quasi – linear hyperbolic partial differential equations are obtained by perturbation technique. Solutions for velocity and temperature distributions are discussed for various values of physical parameters involving in the problem. The effects of cooling and heating of a viscoelastic fluid compared to the Newtonian fluid have been discussed.
MHD Stagnation Point Flow of a Jeffrey Fluid Over a
Stretching/Shrinking Sheet Through Porous Medium by Eswara Rao M and Krishna Murthy M* in COJ Electronics & Communications
The International Journal of Engineering and Science (IJES)theijes
The International Journal of Engineering & Science is aimed at providing a platform for researchers, engineers, scientists, or educators to publish their original research results, to exchange new ideas, to disseminate information in innovative designs, engineering experiences and technological skills. It is also the Journal's objective to promote engineering and technology education. All papers submitted to the Journal will be blind peer-reviewed. Only original articles will be published.
Radiation and Soret Effect on Visco-Elastic MHD Oscillatory Horizontal Channe...IJERA Editor
An analysis of radiation and soret effect on visco-elastic mhd oscillatory flow with heat and mass transfer
through a porous medium bounded by two infinite horizontal parallel porous plates in presence of chemical
reaction and a heat source has been presented when one plate is kept at rest while the other is oscillating in its
own plane. The fluid is considered to be non-Newtonian characterized by Walters liquid (Model B′). The
temperature of the stationary plate is assumed to be constant whereas the temperature of the other plate varies
periodically with time about a steady mean. The equations governing the fluid flow, heat and mass transfer have
been solved analytically. The expressions for velocity, temperature, species concentration, non-dimensional
skin-friction at the plates, the coefficient of rate of heat transfer from the plates to the fluid in terms of Nusselt
number in non-dimensional form, the coefficient of rate of mass transfer from the plates to the fluid in terms of
Sharewood number in non-dimensional form are obtained and illustrated graphically to observe the visco-elastic
effects in combination of other flow parameters involved in the solution. It is noticed that the momentum,
thermal and concentration fields are significantly affected by the visco-elastic parameter.
MIXED CONVECTIVE HEAT AND MASS TRANSFER MHD FLOW PAST AN UNSTEADY STRETCHING ...IAEME Publication
Mixed two dimensional convection heat and mass transfer flow with suction, viscous
dissipation, heat source/sink effect, mass diffusion including Soret and Dufour effects due to an
unsteady porous stretching sheet is studied in the present analysis. The flow is subjected to
magnetic field normal to the vertical plate in a saturated porous medium. The governing non-linear
partial differential equations have been reduced to ordinary differential equations using suitable
similarity transformation variables. The resultant equations which are coupled and highly nonlinear
are solved by standard Runge-Kutta fourth order numerical technique via shooting method.
The momentum, temperature and concentration field distributions are analyzed and discussed
numerically and presented pictorially through graphs. Numerical values for skin friction
coefficient, local Nusselt number and Sherwood number at the plate in the presence of magnetic
field and porous medium are derived and discussed for various values of physical parameters and
are presented in table. Finally the present results are compared with previously published results
and found to be well in agreement.
Chemical Reaction Effects on Free Convective Flow of a Polar Fluid from a Ver...IOSR Journals
This article deals with a study of two dimensional free convective flow of a polar fluid through a porous medium due to combined effects of thermal and mass diffusion in presence of a chemical reaction of first order. The objective of the present investigation is to analyze the free convective flow in the presence of prescribed wall heat flux and mass flux condition. The governing partial differential equations are non-dimensionalized and transformed into a system of non-similar equations. The resulting coupled nonlinear partial differential equations are solved numerically under appropriate transformed boundary conditions using an implicit finite difference scheme in combination with quasilinearisation technique. Computations are performed for a wide range of values of the various governing flow parameters of the velocity, angular velocity, temperature and species concentration profiles and results are presented graphically. The numerical results for local skin friction coefficient, couple stress coefficient, local Nusselt number and local Sherwood number are also presented. The obtained results are compared with previously published work and were to be in excellent agreement. The study reveals that the flow characteristics are profoundly influenced by the polar effects
MHD Stagnation Point Flow of a Jeffrey Fluid Over a
Stretching/Shrinking Sheet Through Porous Medium by Eswara Rao M and Krishna Murthy M* in COJ Electronics & Communications
The International Journal of Engineering and Science (IJES)theijes
The International Journal of Engineering & Science is aimed at providing a platform for researchers, engineers, scientists, or educators to publish their original research results, to exchange new ideas, to disseminate information in innovative designs, engineering experiences and technological skills. It is also the Journal's objective to promote engineering and technology education. All papers submitted to the Journal will be blind peer-reviewed. Only original articles will be published.
Radiation and Soret Effect on Visco-Elastic MHD Oscillatory Horizontal Channe...IJERA Editor
An analysis of radiation and soret effect on visco-elastic mhd oscillatory flow with heat and mass transfer
through a porous medium bounded by two infinite horizontal parallel porous plates in presence of chemical
reaction and a heat source has been presented when one plate is kept at rest while the other is oscillating in its
own plane. The fluid is considered to be non-Newtonian characterized by Walters liquid (Model B′). The
temperature of the stationary plate is assumed to be constant whereas the temperature of the other plate varies
periodically with time about a steady mean. The equations governing the fluid flow, heat and mass transfer have
been solved analytically. The expressions for velocity, temperature, species concentration, non-dimensional
skin-friction at the plates, the coefficient of rate of heat transfer from the plates to the fluid in terms of Nusselt
number in non-dimensional form, the coefficient of rate of mass transfer from the plates to the fluid in terms of
Sharewood number in non-dimensional form are obtained and illustrated graphically to observe the visco-elastic
effects in combination of other flow parameters involved in the solution. It is noticed that the momentum,
thermal and concentration fields are significantly affected by the visco-elastic parameter.
MIXED CONVECTIVE HEAT AND MASS TRANSFER MHD FLOW PAST AN UNSTEADY STRETCHING ...IAEME Publication
Mixed two dimensional convection heat and mass transfer flow with suction, viscous
dissipation, heat source/sink effect, mass diffusion including Soret and Dufour effects due to an
unsteady porous stretching sheet is studied in the present analysis. The flow is subjected to
magnetic field normal to the vertical plate in a saturated porous medium. The governing non-linear
partial differential equations have been reduced to ordinary differential equations using suitable
similarity transformation variables. The resultant equations which are coupled and highly nonlinear
are solved by standard Runge-Kutta fourth order numerical technique via shooting method.
The momentum, temperature and concentration field distributions are analyzed and discussed
numerically and presented pictorially through graphs. Numerical values for skin friction
coefficient, local Nusselt number and Sherwood number at the plate in the presence of magnetic
field and porous medium are derived and discussed for various values of physical parameters and
are presented in table. Finally the present results are compared with previously published results
and found to be well in agreement.
Chemical Reaction Effects on Free Convective Flow of a Polar Fluid from a Ver...IOSR Journals
This article deals with a study of two dimensional free convective flow of a polar fluid through a porous medium due to combined effects of thermal and mass diffusion in presence of a chemical reaction of first order. The objective of the present investigation is to analyze the free convective flow in the presence of prescribed wall heat flux and mass flux condition. The governing partial differential equations are non-dimensionalized and transformed into a system of non-similar equations. The resulting coupled nonlinear partial differential equations are solved numerically under appropriate transformed boundary conditions using an implicit finite difference scheme in combination with quasilinearisation technique. Computations are performed for a wide range of values of the various governing flow parameters of the velocity, angular velocity, temperature and species concentration profiles and results are presented graphically. The numerical results for local skin friction coefficient, couple stress coefficient, local Nusselt number and local Sherwood number are also presented. The obtained results are compared with previously published work and were to be in excellent agreement. The study reveals that the flow characteristics are profoundly influenced by the polar effects
Dufour and Soret Effects on Convective Heat and Mass Transfer in Non-Darcy Do...IJERA Editor
This paper deals with the MHD convention non-Darcy flow with heat and mass transfer along the vertical surface in a fluid stratified non porous media in the presence of temperature gradients (Soret effects) and concentration gradients (Dufour effects). The differential equations of the governing flow are expand a in terms of perturbation functions as a result we get set of ordinary differential equations of zero,first and second order so the set of equations are solved by using the implicit finite difference scheme. A parametric study of the physical parameters involve in the problem is conducted and a representative set of numerical results are illustrated graphically
IJRET : International Journal of Research in Engineering and Technology is an international peer reviewed, online journal published by eSAT Publishing House for the enhancement of research in various disciplines of Engineering and Technology. The aim and scope of the journal is to provide an academic medium and an important reference for the advancement and dissemination of research results that support high-level learning, teaching and research in the fields of Engineering and Technology. We bring together Scientists, Academician, Field Engineers, Scholars and Students of related fields of Engineering and Technology.
Study of Magnetohydrodynamic Fluid Flows and Their Applicationsijtsrd
In this paper a detailed study is presented on magnetohydrodynamic fluid flows with their basic governing equations. Basic concept of magnetohydrodynamic is discussed in detail. The results of various problems done by researchers are presented and addressed properly. The various applications of magnetohydrodynamic fluid flows have been presented. Dr. Vishal Saxena ""Study of Magnetohydrodynamic Fluid Flows and Their Applications"" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-4 | Issue-2 , February 2020, URL: https://www.ijtsrd.com/papers/ijtsrd29931.pdf
Paper Url : https://www.ijtsrd.com/mathemetics/applied-mathematics/29931/study-of-magnetohydrodynamic-fluid-flows-and-their-applications/dr-vishal-saxena
first order chemical reaction and hall effect on mhd flow past an infinite ve...INFOGAIN PUBLICATION
Combined study of first order chemical reaction and Hall current on MHD flow past an accelerated infinite vertical plate in the presence of rotating fluid with variable mass diffusion has been analyzed. The effects of Hall parameter (m), Hartmann number (M), an imposed rotation parameter (Ω non-dimensional angular velocity),Thermal Grashof’s number(Gr) and mass Grashof’s number (Gc) on axial and transverse velocity profiles are presented graphically. It is found that when , the transverse velocity component vanishes and axial velocity attains a maximum value.
Effects on Study MHD Free Convection Flow Past a Vertical Porous Plate with H...IJMTST Journal
This paper deals with the combined soret effect of thermal radiation and heat generation on the MHD free
convection heat and mass transfer flow of a viscous incompressible fluid past a continuously moving infinite
plate. Closed form of solution for the velocity, temperature and concentration field are obtained and
discussed graphically for various values of the physical parameters present. In addition, expressions for the
skin friction and Sherwood number is also derived and finally discussed with the graphs.
Hydromagnetic Flow of Nanofluids over a Nonlinear Shrinking Surface with Heat...ijtsrd
Heat and mass transfer characteristics of water based nanofluids over a nonlinear shrinking surface with suction is studied numerically in the incidence of magnetic field, thermal radiation under the boundary conditions heat flux and mass flux. Similarity transformations are used to renovate the governing partial differential equations into higher order nonlinear ordinary differential equations. These equations are numerically solved using fourth order Runge Kutta technique along with Nachistem “ Swigert shooting method. Numerical results are achieved for the nanofluid velocity, nanofluid temperature and nanoparticle concentration as well as for the skin friction coefficient, wall temperature and concentration of the wall for various values of governing physical parameters viz. magnetic interaction parameter, suction parameter, shrinking parameter, thermal radiation parameter, temperature ratio parameter and solid volume fraction of the nanoparticles such as copper and silver. Mekala Selvaraj | S. P. Anjali Devi"Hydromagnetic Flow of Nanofluids over a Nonlinear Shrinking Surface with Heat Flux and Mass Flux" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-1 | Issue-6 , October 2017, URL: http://www.ijtsrd.com/papers/ijtsrd5793.pdf http://www.ijtsrd.com/mathemetics/applied-mathamatics/5793/hydromagnetic-flow-of-nanofluids-over-a-nonlinear-shrinking-surface-with-heat-flux-and-mass-flux/mekala-selvaraj
International Journal of Mathematics and Statistics Invention (IJMSI) is an international journal intended for professionals and researchers in all fields of computer science and electronics. IJMSI publishes research articles and reviews within the whole field Mathematics and Statistics, new teaching methods, assessment, validation and the impact of new technologies and it will continue to provide information on the latest trends and developments in this ever-expanding subject. The publications of papers are selected through double peer reviewed to ensure originality, relevance, and readability. The articles published in our journal can be accessed online.
Porous media has two specifications: First its dissipation area is greater than the conventional fins that enhance heat convection. Second the irregular motion of the fluid flow around the individual beads mixes the fluid more effectively. Nanofluids are mixtures of base fluid with a very small amount of nanoparticles having dimensions from 1 to 100 nm, with very high thermal conductivities, so it would be the best convection heat transfer by using porous media and nanofluids. Thus studies need to be conducted involving nanofluids in porous media. For that, the purpose of this article is to summarize the published subjects respect to the enhancement of convective heat transfer using porous media and nanofluids and identifies opportunities for future research.
Effects Of Higher Order Chemical Reactions and Slip Boundary Conditions on Na...IJERA Editor
We investigate the effects of higher order chemical reactions on coupled heat and mass transfer from a permeable stretching sheet in nanofluid flow with slip boundary conditions. Nanofluids play an important role in emerging nanotechnology and biotechnology industries where they find application in heat transfer processes. We study the effects of the order of the chemical reaction and chemical reaction parameter. The highly nonlinear and coupled governing differential equations were solved numerically. The solution depends on Brownian motion number, thermophoresis number, thermal convective parameter, mass convective parameter and double diffusive buoyancy parameter. The effects of various engineering parameters are investigated.
Non-Newtonian Visco-elastic Heat Transfer Flow Past a Stretching Sheet with C...IJERA Editor
In this paper two dimensional flow of a viscoelastic fluid due to stretching surface is considered. Flow analysis is carried out by using closed form solution of fourth order differential equation of motion of viscoelastic fluid. Further (Walters’ liquid B’ model) heat transfer analysis is carried out using convective surface condition. The governing equations of flow and heat transfer are non-linear partial differential equations which are unable to solve analytically hence are solved using Runge-Kutta Numerical Method with efficient shooting technique. The flow and heat transfer characteristics are studied through plots drawn. Numerical values of Wall temperature are calculated and presented in the table and compared with earlier published results which are in good agreement
Magneto-Thermosolutal Convection in Maxwellian Dusty Viscoelastic Fluid throu...IJERA Editor
Thermosolutal convection in Maxwellian viscoelastic fluid under the simultaneous effects of uniform vertical magnetic field and suspended particles through porous medium is mathematically investigated. A sufficient condition for the invalidity of the ‘principle of exchange of stabilities’ is derived, in the context, which states that the exchange principle is not valid provided the thermal Rayleigh number R , solutal Rayleigh number S R , the medium permeability 1 P and the suspended particles parameter B are restricted by the inequality 1 2 1 S R R BP .
The steady laminar two dimensional stagnation point flow of an incompressible electrically conducting magneto-micropolar fluid over a permeable stretching surface with heat source/sink and viscous dissipation in the presence of mass transfer and chemical reaction has been studied. Using the similarity transformations, the governing equations have been transformed into a system of ordinary differential equations. These differential equations are highly nonlinear which cannot be solved analytically. Therefore, forth order Runge-Kutta method along with shooting technique has been used for solving it. Numerical results are obtained for the skin-friction coefficient, the local Nusselt number and Sherwood number as well as the velocity, temperature and concentration profiles for different values of the governing parameters, namely, velocity ratio parameter, boundary parameter, material parameter, magnetic parameter, Prandtl number, Eckert number, heat source/sink parameter, Schmidt number and chemical reaction parameter.
MHD Stagnation Point Flow of a Jeffrey Fluid Over a Stretching/Shrinking Sheet Through Porous Medium by Eswara Rao M and Krishna Murthy M* in COJ Electronics & Communications: Crimson Publishers_ Journal of electronics and communication engineering impact factor
In this analysis the MHD stagnation point flow of Jeffrey fluid over a stretching/shrinking sheet through porous medium is studied. The governing partial differential equations are transformed into nonlinear ordinary differential equation using the similarity transformations and are solved shooting technique. The effects of governing parameters on the velocity, the temperature and the concentration while the skin friction coefficients, the rate of heat transfer are studied graphically
MHD Convection Flow of Kuvshinski Fluid past an Infinite Vertical Porous Plat...rahulmonikasharma
An unsteady MHD free convective flow of a viscous incompressible visco-elastic fluid through a porous medium in the presence of radiation and chemical reaction effects are considered. The governing non-linear partial differential equations of the flow, heat and mass transfer are transformed into ordinary differential equations by using similarity transformations and then solved by two term perturbation technique. The effects of various flow parameters on velocity, temperature and concentration profiles as well as the skin-friction, Nusselt number and Shear wood number are discussed qualitatively and discussed graphically.
Dufour and Soret Effects on Convective Heat and Mass Transfer in Non-Darcy Do...IJERA Editor
This paper deals with the MHD convention non-Darcy flow with heat and mass transfer along the vertical surface in a fluid stratified non porous media in the presence of temperature gradients (Soret effects) and concentration gradients (Dufour effects). The differential equations of the governing flow are expand a in terms of perturbation functions as a result we get set of ordinary differential equations of zero,first and second order so the set of equations are solved by using the implicit finite difference scheme. A parametric study of the physical parameters involve in the problem is conducted and a representative set of numerical results are illustrated graphically
IJRET : International Journal of Research in Engineering and Technology is an international peer reviewed, online journal published by eSAT Publishing House for the enhancement of research in various disciplines of Engineering and Technology. The aim and scope of the journal is to provide an academic medium and an important reference for the advancement and dissemination of research results that support high-level learning, teaching and research in the fields of Engineering and Technology. We bring together Scientists, Academician, Field Engineers, Scholars and Students of related fields of Engineering and Technology.
Study of Magnetohydrodynamic Fluid Flows and Their Applicationsijtsrd
In this paper a detailed study is presented on magnetohydrodynamic fluid flows with their basic governing equations. Basic concept of magnetohydrodynamic is discussed in detail. The results of various problems done by researchers are presented and addressed properly. The various applications of magnetohydrodynamic fluid flows have been presented. Dr. Vishal Saxena ""Study of Magnetohydrodynamic Fluid Flows and Their Applications"" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-4 | Issue-2 , February 2020, URL: https://www.ijtsrd.com/papers/ijtsrd29931.pdf
Paper Url : https://www.ijtsrd.com/mathemetics/applied-mathematics/29931/study-of-magnetohydrodynamic-fluid-flows-and-their-applications/dr-vishal-saxena
first order chemical reaction and hall effect on mhd flow past an infinite ve...INFOGAIN PUBLICATION
Combined study of first order chemical reaction and Hall current on MHD flow past an accelerated infinite vertical plate in the presence of rotating fluid with variable mass diffusion has been analyzed. The effects of Hall parameter (m), Hartmann number (M), an imposed rotation parameter (Ω non-dimensional angular velocity),Thermal Grashof’s number(Gr) and mass Grashof’s number (Gc) on axial and transverse velocity profiles are presented graphically. It is found that when , the transverse velocity component vanishes and axial velocity attains a maximum value.
Effects on Study MHD Free Convection Flow Past a Vertical Porous Plate with H...IJMTST Journal
This paper deals with the combined soret effect of thermal radiation and heat generation on the MHD free
convection heat and mass transfer flow of a viscous incompressible fluid past a continuously moving infinite
plate. Closed form of solution for the velocity, temperature and concentration field are obtained and
discussed graphically for various values of the physical parameters present. In addition, expressions for the
skin friction and Sherwood number is also derived and finally discussed with the graphs.
Hydromagnetic Flow of Nanofluids over a Nonlinear Shrinking Surface with Heat...ijtsrd
Heat and mass transfer characteristics of water based nanofluids over a nonlinear shrinking surface with suction is studied numerically in the incidence of magnetic field, thermal radiation under the boundary conditions heat flux and mass flux. Similarity transformations are used to renovate the governing partial differential equations into higher order nonlinear ordinary differential equations. These equations are numerically solved using fourth order Runge Kutta technique along with Nachistem “ Swigert shooting method. Numerical results are achieved for the nanofluid velocity, nanofluid temperature and nanoparticle concentration as well as for the skin friction coefficient, wall temperature and concentration of the wall for various values of governing physical parameters viz. magnetic interaction parameter, suction parameter, shrinking parameter, thermal radiation parameter, temperature ratio parameter and solid volume fraction of the nanoparticles such as copper and silver. Mekala Selvaraj | S. P. Anjali Devi"Hydromagnetic Flow of Nanofluids over a Nonlinear Shrinking Surface with Heat Flux and Mass Flux" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-1 | Issue-6 , October 2017, URL: http://www.ijtsrd.com/papers/ijtsrd5793.pdf http://www.ijtsrd.com/mathemetics/applied-mathamatics/5793/hydromagnetic-flow-of-nanofluids-over-a-nonlinear-shrinking-surface-with-heat-flux-and-mass-flux/mekala-selvaraj
International Journal of Mathematics and Statistics Invention (IJMSI) is an international journal intended for professionals and researchers in all fields of computer science and electronics. IJMSI publishes research articles and reviews within the whole field Mathematics and Statistics, new teaching methods, assessment, validation and the impact of new technologies and it will continue to provide information on the latest trends and developments in this ever-expanding subject. The publications of papers are selected through double peer reviewed to ensure originality, relevance, and readability. The articles published in our journal can be accessed online.
Porous media has two specifications: First its dissipation area is greater than the conventional fins that enhance heat convection. Second the irregular motion of the fluid flow around the individual beads mixes the fluid more effectively. Nanofluids are mixtures of base fluid with a very small amount of nanoparticles having dimensions from 1 to 100 nm, with very high thermal conductivities, so it would be the best convection heat transfer by using porous media and nanofluids. Thus studies need to be conducted involving nanofluids in porous media. For that, the purpose of this article is to summarize the published subjects respect to the enhancement of convective heat transfer using porous media and nanofluids and identifies opportunities for future research.
Effects Of Higher Order Chemical Reactions and Slip Boundary Conditions on Na...IJERA Editor
We investigate the effects of higher order chemical reactions on coupled heat and mass transfer from a permeable stretching sheet in nanofluid flow with slip boundary conditions. Nanofluids play an important role in emerging nanotechnology and biotechnology industries where they find application in heat transfer processes. We study the effects of the order of the chemical reaction and chemical reaction parameter. The highly nonlinear and coupled governing differential equations were solved numerically. The solution depends on Brownian motion number, thermophoresis number, thermal convective parameter, mass convective parameter and double diffusive buoyancy parameter. The effects of various engineering parameters are investigated.
Non-Newtonian Visco-elastic Heat Transfer Flow Past a Stretching Sheet with C...IJERA Editor
In this paper two dimensional flow of a viscoelastic fluid due to stretching surface is considered. Flow analysis is carried out by using closed form solution of fourth order differential equation of motion of viscoelastic fluid. Further (Walters’ liquid B’ model) heat transfer analysis is carried out using convective surface condition. The governing equations of flow and heat transfer are non-linear partial differential equations which are unable to solve analytically hence are solved using Runge-Kutta Numerical Method with efficient shooting technique. The flow and heat transfer characteristics are studied through plots drawn. Numerical values of Wall temperature are calculated and presented in the table and compared with earlier published results which are in good agreement
Magneto-Thermosolutal Convection in Maxwellian Dusty Viscoelastic Fluid throu...IJERA Editor
Thermosolutal convection in Maxwellian viscoelastic fluid under the simultaneous effects of uniform vertical magnetic field and suspended particles through porous medium is mathematically investigated. A sufficient condition for the invalidity of the ‘principle of exchange of stabilities’ is derived, in the context, which states that the exchange principle is not valid provided the thermal Rayleigh number R , solutal Rayleigh number S R , the medium permeability 1 P and the suspended particles parameter B are restricted by the inequality 1 2 1 S R R BP .
The steady laminar two dimensional stagnation point flow of an incompressible electrically conducting magneto-micropolar fluid over a permeable stretching surface with heat source/sink and viscous dissipation in the presence of mass transfer and chemical reaction has been studied. Using the similarity transformations, the governing equations have been transformed into a system of ordinary differential equations. These differential equations are highly nonlinear which cannot be solved analytically. Therefore, forth order Runge-Kutta method along with shooting technique has been used for solving it. Numerical results are obtained for the skin-friction coefficient, the local Nusselt number and Sherwood number as well as the velocity, temperature and concentration profiles for different values of the governing parameters, namely, velocity ratio parameter, boundary parameter, material parameter, magnetic parameter, Prandtl number, Eckert number, heat source/sink parameter, Schmidt number and chemical reaction parameter.
MHD Stagnation Point Flow of a Jeffrey Fluid Over a Stretching/Shrinking Sheet Through Porous Medium by Eswara Rao M and Krishna Murthy M* in COJ Electronics & Communications: Crimson Publishers_ Journal of electronics and communication engineering impact factor
In this analysis the MHD stagnation point flow of Jeffrey fluid over a stretching/shrinking sheet through porous medium is studied. The governing partial differential equations are transformed into nonlinear ordinary differential equation using the similarity transformations and are solved shooting technique. The effects of governing parameters on the velocity, the temperature and the concentration while the skin friction coefficients, the rate of heat transfer are studied graphically
MHD Convection Flow of Kuvshinski Fluid past an Infinite Vertical Porous Plat...rahulmonikasharma
An unsteady MHD free convective flow of a viscous incompressible visco-elastic fluid through a porous medium in the presence of radiation and chemical reaction effects are considered. The governing non-linear partial differential equations of the flow, heat and mass transfer are transformed into ordinary differential equations by using similarity transformations and then solved by two term perturbation technique. The effects of various flow parameters on velocity, temperature and concentration profiles as well as the skin-friction, Nusselt number and Shear wood number are discussed qualitatively and discussed graphically.
International Journal of Computational Engineering Research(IJCER) is an intentional online Journal in English monthly publishing journal. This Journal publish original research work that contributes significantly to further the scientific knowledge in engineering and Technology
The International Journal of Engineering and Science (The IJES)theijes
The International Journal of Engineering & Science is aimed at providing a platform for researchers, engineers, scientists, or educators to publish their original research results, to exchange new ideas, to disseminate information in innovative designs, engineering experiences and technological skills. It is also the Journal's objective to promote engineering and technology education. All papers submitted to the Journal will be blind peer-reviewed. Only original articles will be published.
International Journal of Mathematics and Statistics Invention (IJMSI)inventionjournals
International Journal of Mathematics and Statistics Invention (IJMSI) is an international journal intended for professionals and researchers in all fields of computer science and electronics. IJMSI publishes research articles and reviews within the whole field Mathematics and Statistics, new teaching methods, assessment, validation and the impact of new technologies and it will continue to provide information on the latest trends and developments in this ever-expanding subject. The publications of papers are selected through double peer reviewed to ensure originality, relevance, and readability. The articles published in our journal can be accessed online.
Soret Effect And Effect Of Radiation On Transient Mhd Free Convective Flow Ov...inventionjournals
The present paper is concerned to analyze the radiation, Magneto hydrodynamic and soret effects on unsteady flow heat and mass transfer characteristics in a viscous, incompressible and electrically conduction fluid over a semi-infinite vertical porous plate through porous media the porous plate is subjected to a transverse variable suction velocity. The transient, non linear and coupled dimensionless governing equations for this investigation are solved analytically using perturbation technique about a small parameter . the effects of governing parameters on the flow variables are discussed graphically.
Soret Effect And Effect Of Radiation On Transient Mhd Free Convective Flow Ov...inventionjournals
The present paper is concerned to analyze the radiation, Magneto hydrodynamic and soret effects on unsteady flow heat and mass transfer characteristics in a viscous, incompressible and electrically conduction fluid over a semi-infinite vertical porous plate through porous media the porous plate is subjected to a transverse variable suction velocity. The transient, non linear and coupled dimensionless governing equations for this investigation are solved analytically using perturbation technique about a small parameter . the effects of governing parameters on the flow variables are discussed graphically.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
International Journal of Computational Engineering Research (IJCER) is dedicated to protecting personal information and will make every reasonable effort to handle collected information appropriately. All information collected, as well as related requests, will be handled as carefully and efficiently as possible in accordance with IJCER standards for integrity and objectivity.
Effects of Thermal Radiation and Chemical Reaction on MHD Free Convection Flo...IJERA Editor
This paper analyzes the radiation and chemical reaction effects on MHD steady two-dimensional laminar
viscous incompressible radiating boundary layer flow over a flat plate in the presence of internal heat generation
and convective boundary condition. It is assumed that lower surface of the plate is in contact with a hot fluid
while a stream of cold fluid flows steadily over the upper surface with a heat source that decays exponentially.
The Rosseland approximation is used to describe radiative heat transfer as we consider optically thick fluids.
The governing boundary layer equations are transformed into a system of ordinary differential equations using
similarity transformations, which are then solved numerically by employing fourth order Runge-Kutta method
along with shooting technique. The effects of various material parameters on the velocity, temperature and
concentration as well as the skin friction coefficient, the Nusselt number, the Sherwood number and the plate
surface temperature are illustrated and interpreted in physical terms. A comparison of present results with
previously published results shows an excellent agreement.
Mhd effects on non newtonian micro polar fluid with uniform suctioneSAT Journals
Abstract In this present work, the problem of heat and mass transfer on the flow of Non-newtonian micropolar fluid with uniform suction/blowing with heat generation, radiation, thermophoresis and chemical reaction effects are studied. The non-linear partial differential equation arising from the flow modeling were transformed into coupled non linear ordinary differential equations and subsequently solved by using the implicit finite difference method. The effect of relevant thermo physical parameters such as material parameter K, suction parameter A, heat generation/absorption parameter B, Prandtl number Pr, radiation parameter R, thermophoretic parameter τ, chemical reaction parameter δ , magnetic parameter Ha and Schmidt number Sc are also being numerically investigated and analyzed. Keywords: MHD, micro polar fluid, heat generation, thermophoresis, radiation and finite difference scheme.
International Journal of Computational Engineering Research (IJCER) is dedicated to protecting personal information and will make every reasonable effort to handle collected information appropriately. All information collected, as well as related requests, will be handled as carefully and efficiently as possible in accordance with IJCER standards for integrity and objectivity.
The International Journal of Engineering & Science is aimed at providing a platform for researchers, engineers, scientists, or educators to publish their original research results, to exchange new ideas, to disseminate information in innovative designs, engineering experiences and technological skills. It is also the Journal's objective to promote engineering and technology education. All papers submitted to the Journal will be blind peer-reviewed. Only original articles will be published.
Heat transefer of a dusty fluid over a stretching sheet with internal heat ge...eSAT Journals
Abstract This paper pertains to investigate the heat transfer characteristics of two dimensional two phase flow in a porous medium over a stretching sheet with internal heat generation. The novelty of the present study is to consider the permeability parameter, space and temperature dependent internal heat generation along with various parameters like Froud number ,heat source/sink parameter, Grashof number, Prandtl number, Eckert number, Volume fraction, fluid interaction parameter etc. The method of solution involves similarity transformation which reduces the partial differential equations into non linear ordinary differential equations. These non linear ordinary differential equations have been solved by applying Runge-Kutta 4-th order method with help of shooting technique. The temperature profiles for different values of flow parameters are presented in figures. It is observed from all the figures that the boundary conditions are satisfied asymptotically in all the cases which supporting the accuracy of the numerical results. All the figures shows that increasing values of any parameter increase the thermal boundary layer except the prandtl number and permeability parameter. AMS classification 76T10, 76T15 Keywords: Heat source/sink, Volume fraction, Fluid – particle interaction parameter, Dusty fluid, Boundary layer flow, Stretching sheet, Eckert number, Grashof number, Prandtle number, Shooting techniques, Froud number, permeability parameter.
The Study of Heat Generation and Viscous Dissipation on Mhd Heat And Mass Dif...IOSR Journals
The present work is devoted to the numerical study of magneto hydrodynamic (MHD) natural convection flow of heat and mass transfer past a plate taking into account viscous dissipation and internal heat generation. The governing equations and the associated boundary conditions for this analysis are made non dimensional forms using a set of dimensionless variables. Thus, the non dimensional governing equations are solved numerically using finite difference method Crank-Nicolson’s scheme. Numerical outcomes are found for different values of the magnetic parameter, Modified Grashof number, Prandtl number, Eckert number, heat generation parameter and Schmidt number for the velocity and the temperature within the boundary layer as well as the skin friction coefficients and the rate of heat and mass transfer along the surface. Results are presented graphically with detailed discussion.
The Effect of Radiation on the Convective Heat and Mass Transfer Flow of a Vi...inventionjournals
The Effect of Radiation on the Convective Heat and Mass Transfer Flow of a Viscous Electrically Conducted Fluid in a Horizontal Rotating Channel in the Presence of Constant Heat Sources.
Similar to Thermal Radiation and Viscous Dissipation Effects on an Oscillatory Heat and Mass Transfer Flow of a Viscoelastic Fluid with Ohmic Heating (20)
Data Mining is a significant field in today’s data-driven world. Understanding and implementing its concepts can lead to discovery of useful insights. This paper discusses the main concepts of data mining, focusing on two main concepts namely Association Rule Mining and Time Series Analysis
A Review on Real Time Integrated CCTV System Using Face Detection for Vehicle...rahulmonikasharma
We are describes the technique for real time human face detection and counting the number of passengers in vehicle and also gender of the passengers.The Image processing technology is very popular,now at present all are going to use it for various purpose. It can be applied to various applications for detecting and processing the digital images. Face detection is a part of image processing. It is used for finding the face of human in a given area. Face detection is used in many applications such as face recognition, people tracking, or photography. In this paper,The webcam is installed in public vehicle and connected with Raspberry Pi model. We use face detection technique for detecting and counting the number of passengers in public vehicle via webcam with the help of image processing and Raspberry Pi.
Considering Two Sides of One Review Using Stanford NLP Frameworkrahulmonikasharma
Sentiment analysis is a type of natural language processing for tracking the mood of the public about a particular product or a topic and is useful in several ways. Polarity shift is the most classical task which aims at classifying the reviews either positive or negative. But in many cases, in addition to the positive and negative reviews, there still many neutral reviews exist. However, the performance sometimes limited due to the fundamental deficiencies in handling the polarity shift problem. We propose an Improvised Dual Sentiment Analysis (IDSA) model to address this problem for sentiment classification. We first propose a novel data expansion technique by creating sentiment-reversed review for each training and test review. We develop a corpus based method to construct a pseudo-antonym dictionary. It removes DSA’s dependency on an external antonym dictionary for review reversion. We conduct a range of experiments and the results demonstrates the effectiveness of DSA in addressing the polarity shift in sentiment classification. .
A New Detection and Decoding Technique for (2×N_r ) MIMO Communication Systemsrahulmonikasharma
The requirements of fifth generation new radio (5G- NR) access networks are very high capacity and ultra-reliability. In this paper, we proposed a V-BLAST2 × N_r MIMO system that is analyzed, improved, and expected to achieve both very high throughput and ultra- reliability simultaneously.A new detection technique called parallel detection algorithm is proposed. The performance of the proposed algorithm compared with existing linear detection algorithms. It was seen that the proposed technique increases the speed of signal transmission and prevents error propagation which may be present in serial decoding techniques. The new algorithm reduces the bit error probability and increases the capacity simultaneouslywithout using a standard STC technique. However, it was seen that the BER of systems using the proposed algorithm is slightly higher than a similar system using only STC technique. Simulation results show the advantages of using the proposed technique.
Broadcasting Scenario under Different Protocols in MANET: A Surveyrahulmonikasharma
A wireless network enables people to communicate and access applications and information without wires. This provides freedom of movement and the ability to extend applications to different parts of a building, city, or nearly anywhere in the world. Wireless networks allow people to interact with e-mail or browse the Internet from a location that they prefer. Adhoc Networks are self-organizing wireless networks, absent any fixed infrastructure. broadcasting of data through proper channel is essential. Various protocols are designed to avoid the loss of data. In this paper an overview of different broadcast protocols are discussed.
Sybil Attack Analysis and Detection Techniques in MANETrahulmonikasharma
Security is important for many sensor network applications. A particularly harmful attack against sensor and ad hoc networks is known as the Sybil attack [6], where a node Illegitimately claims multiple identities.Mobility cause a main problem when we talk about security in Mobile Ad-hoc networks. It doesn’t depend on fixed architecture, the nodes are continuously moving in a random fashion. In this article we will focus on identifying the Sybil attack in MANET. It uses air medium for communication so it is more prone to the attack. Sybil attack is one in which single node present multiple fake identities to other nodes, which cause destruction.
A Landmark Based Shortest Path Detection by Using A* and Haversine Formularahulmonikasharma
In 1900, less than 20 percent of the world populace lived in cities, in 2007, fair more than 50 percent of the world populace lived in cities. In 2050, it has been anticipated that more than 70 percent of the worldwide population (about 6.4 billion individuals) will be city tenants. There's more weight being set on cities through this increment in population [1]. With approach of keen cities, data and communication technology is progressively transforming the way city regions and city inhabitants organize and work in reaction to urban development. In this paper, we create a nonspecific plot for navigating a route throughout city A asked route is given by utilizing combination of A* Algorithm and Haversine equation. Haversine Equation gives least distance between any two focuses on spherical body by utilizing latitude and longitude. This least distance is at that point given to A* calculation to calculate minimum distance. The method for identifying the shortest path is specify in this paper.
Processing Over Encrypted Query Data In Internet of Things (IoTs) : CryptDBs,...rahulmonikasharma
Internet of Things (IoT) is the developing technologies that would be the biggest agents to modify the current world. Machine-to-machine communications perform with virtual, mobile and instantaneous connections. In IoT system, it consists of data-gathering sensors various other household devices. Intended for protecting IoT system, the end-to-end secure communication is a necessary measure to protect against unauthorized entities (e.g., modification attacks and eavesdropping,) and the data unprotected on the Cloud. The most important concern hereby is how to preserve the insightful information and to provide the privacy of user data. In IoT, the encrypted data computing is based on techniques appear to be promising approaches. In this paper, we discuss about the recent secure database systems, which are capable to execute SQL queries over encrypted data.
Quality Determination and Grading of Tomatoes using Raspberry Pirahulmonikasharma
In India cultivation of tomatoes is carried out by traditional methods and techniques. Today tremendous improvement in field of agriculture technologies and products can be seen. The tomatoes affect the overall production drastically. Image processing technique can be key technique for finding good qualities of tomatoes and grading. This work aimed to study different types of algorithms used for quality grading and sorting of fruit from the acquire image. In previous years several types of techniques are applied to analyses the good quality fruits. A simple system can be implemented using Raspberry pi with computer vision technology and image processing algorithms.
Comparative of Delay Tolerant Network Routings and Scheduling using Max-Weigh...rahulmonikasharma
Network management and Routing is supportively done by performing with the nodes, due to infrastructure-less nature of the network in Ad hoc networks or MANET. The nodes are maintained itself from the functioning of the network, for that reason the MANET security challenges several defects. Routing process and Scheduling is a significant idea to enhance the security in MANET. Other than, scheduling has been recognized to be a key issue for implementing throughput/capacity optimization in Ad hoc networks. Designed underneath conventional (LT) light tailed assumptions, traffic fundamentally faces Heavy-tailed (HT) assumption of the validity of scheduling algorithms. Scheduling policies are utilized for communication networks such as Max-Weight, backpressure and ACO, which are provably throughput optimality and the Pareto frontier of the feasible throughput region under maximal throughput vector. In wireless ad-hoc network, the issue of routing and optimal scheduling performs with time varying channel reliability and multiple traffic streams. Depending upon the security issues within MANETs in this paper presents a comparative analysis of existing scheduling policies based on their performance to progress the delay performance in most scenarios. The security issues of MANETs considered from this paper presents a relative analysis of existing scheduling policies depend on their performance to progress the delay performance in most developments.
DC Conductivity Study of Cadmium Sulfide Nanoparticlesrahulmonikasharma
The dc conductivity of consolidated nanoparticle of CdS has been studied over the temperature range from 303 K to 523 K and the conductivity has been found to be much larger than that of single crystals.
A Survey on Peak to Average Power Ratio Reduction Methods for LTE-OFDMrahulmonikasharma
OFDM (Orthogonal Frequency Division Multiplexing) is generally preferred for high data rate transmission in digital communication. The Long-Term Evolution (LTE) standards for the fourth generation (4G) wireless communication systems. Orthogonal Frequency Division Multiple Access (OFDMA) and Single Carrier Frequency Division Multiple Access (SC-FDMA) are the two multiple access techniques which are generally used in LTE.OFDM system has a major shortcoming of high peak to average power ratio (PAPR) value. This paper explains different PAPR reduction techniques and presents a comparison of the various techniques based on theoretical results. It also presents a survey of the various PAPR reduction techniques and the state of the art in this area.
IOT Based Home Appliance Control System, Location Tracking and Energy Monitoringrahulmonikasharma
Home automation has been a dream of sciences for so many years. It could wind up conceivable in twentieth century simply after power all family units and web administrations were begun being utilized on across the board level. The point of home robotization is to give enhanced accommodation, comfort, vitality effectiveness and security. Vitality checking and protection holds prime significance in this day and age in view of the irregularity between control age and request observing frameworks accessible in the market. Ordinarily, customers are disappointed with the power charge as it doesn't demonstrate the power devoured at the gadget level. This paper shows the outline and execution of a vitality meter utilizing Arduino microcontroller which can be utilized to gauge the power devoured by any individual electrical apparatus. The primary expectation of the proposed vitality meter is to screen the power utilization at the gadget level, transfer it to the server and build up remote control of any apparatus. So we can screen the power utilization remotely and close down gadgets if vital. The car segment is additionally one of the application spaces where vehicle can be made keen by utilizing "IOT". So a vehicle following framework is additionally executed to screen development of vehicles remotely.
Advance Approach towards Key Feature Extraction Using Designed Filters on Dif...rahulmonikasharma
In fast growing database repository system, image as data is one of the important concern despite text or numeric. Still we can’t replace test on any cost but for advancement, information may be managed with images. Therefore image processing is a wide area for the researcher. Many stages of processing of image provide researchers with new ideas to keep information safe with better way. Feature extraction, segmentation, recognition are the key areas of the image processing which helps to enhance the quality of working with images. Paper presents the comparison between image formats like .jpg, .png, .bmp, .gif. This paper is focused on the feature extraction and segmentation stages with background removal process. There are two filters, one is integer filter and second one is floating point Filter, which is used for the key feature extraction from image. These filters applied on the different images of different formats and visually compare the results.
Alamouti-STBC based Channel Estimation Technique over MIMO OFDM Systemrahulmonikasharma
The examination on various looks into on MIMO STBC framework in order to accomplish the higher framework execution is standard that the execution of the remote correspondence frameworks can be improved by usage numerous transmit and get radio wires, that is normally gathered on the grounds that the MIMO procedure, and has been incorporated. The Alamouti STBC might be a promising because of notice the pick up inside the remote interchanges framework misuse MIMO. To broaden the code rate and furthermore the yield of the symmetrical zone time square code for more than 4 transmit reception apparatuses is examined. The outlined framework is beated once forced with M-PSK (i.e upto 32-PSK) regulation. The channel estimation examine in these conditions.
Empirical Mode Decomposition Based Signal Analysis of Gear Fault Diagnosisrahulmonikasharma
A vibration investigation is about the specialty of searching for changes in the vibration example, and after that relating those progressions back to the machines mechanical outline. The level of vibration and the example of the vibration reveal to us something about the interior state of the turning segment. The vibration example can let us know whether the machine is out of adjust or twisted. Al-so blames with the moving components and coupling issues can be distinguished. This paper shows an approach for equip blame investigation utilizing signal handling plans. The information has been taken from college of ohio, joined states. The investigation has done utilizing MATLAB software.
This paper discusses a new algorithm of a univariate method, which is vitally important to develop a short-term load forecasting module for planning and operation of distribution system. It has many applications including purchasing of energy, generation and infrastructure development etc. We have discussed different time series forecasting approaches in this paper. But ARIMA has proved itself as the most appropriate method in forecasting of the load profile for West Bengal using the historical data of the year of 2017. Auto Regressive Integrated Moving Average model gives more accuracy level of load forecast than any other techniques. Mean Absolute Percentage Error (MAPE) has been calculated for the mentioned forecasted model.
Impact of Coupling Coefficient on Coupled Line Couplerrahulmonikasharma
The coupled line coupler is a type of directional coupler which finds practical utility. It is mainly used for sampling the microwave power. In this paper, 3 couplers A,B & C are designed with different values of coupling coefficient 6dB,10dB & 18dB respectively at a frequency of 2.5GHz using ADS tool. The return loss, isolation loss & transmission loss are determined. The design & simulation is done using microstrip line technology.
Design Evaluation and Temperature Rise Test of Flameproof Induction Motorrahulmonikasharma
The ignition of flammable gases, vapours or dust in presence of oxygen contained in the surrounding atmosphere may lead to explosion. Flameproof three phase induction motors are the most common and frequently used in the process industries such as oil refineries, oil rigs, petrochemicals, fertilizers, etc. The design of flameproof motor is such that it allows and sustain explosion within the enclosure caused by ignition of hazardous gases without transmitting it to the external flammable atmosphere. The enclosure is mechanically strong enough to withstand the explosion pressure developed inside it. To prevent an explosion due to hot spot on the surface of the motor, flameproof induction motors are subjected to heat run test to determine the maximum surface temperature and temperature class with respect to the ignition temperature of the surrounding flammable gas atmosphere. This paper highlights the design features of flameproof motors and their surface temperature classification for different sizes.
Advancement in Abrasive Water Jet Machining - A Studyrahulmonikasharma
The abrasive water-jet machining is an unconventional and eco-friendly technology used for hard and brittle material in industrial purpose. As the only cold high-energy beam machining technology, abrasive water-jet (AWJ) is one of the most rapidly developed techniques in material manufacturing industry and can be applied for wide variety of materials. Energy transformation is used to get pressurized jet and to have plastic deformation and fracture, results wear ratio is infinite. The study is focused on abrasive water jet lag info and recharging of abrasives and process parameter such as Influence of pressure, traverse rate, and abrasive flow rate, depth of cut and surface roughness and size and shape of abrasive particles and effectiveness of process to get higher surface finish. Advantageous and comparison will also be part of the concern study.AWJM technique has suitable for precise machining such as polishing, drilling, turning and milling. This technique has sought the benefits of combining with other material removal methods to further expand its applications.
TECHNICAL TRAINING MANUAL GENERAL FAMILIARIZATION COURSEDuvanRamosGarzon1
AIRCRAFT GENERAL
The Single Aisle is the most advanced family aircraft in service today, with fly-by-wire flight controls.
The A318, A319, A320 and A321 are twin-engine subsonic medium range aircraft.
The family offers a choice of engines
Courier management system project report.pdfKamal Acharya
It is now-a-days very important for the people to send or receive articles like imported furniture, electronic items, gifts, business goods and the like. People depend vastly on different transport systems which mostly use the manual way of receiving and delivering the articles. There is no way to track the articles till they are received and there is no way to let the customer know what happened in transit, once he booked some articles. In such a situation, we need a system which completely computerizes the cargo activities including time to time tracking of the articles sent. This need is fulfilled by Courier Management System software which is online software for the cargo management people that enables them to receive the goods from a source and send them to a required destination and track their status from time to time.
Explore the innovative world of trenchless pipe repair with our comprehensive guide, "The Benefits and Techniques of Trenchless Pipe Repair." This document delves into the modern methods of repairing underground pipes without the need for extensive excavation, highlighting the numerous advantages and the latest techniques used in the industry.
Learn about the cost savings, reduced environmental impact, and minimal disruption associated with trenchless technology. Discover detailed explanations of popular techniques such as pipe bursting, cured-in-place pipe (CIPP) lining, and directional drilling. Understand how these methods can be applied to various types of infrastructure, from residential plumbing to large-scale municipal systems.
Ideal for homeowners, contractors, engineers, and anyone interested in modern plumbing solutions, this guide provides valuable insights into why trenchless pipe repair is becoming the preferred choice for pipe rehabilitation. Stay informed about the latest advancements and best practices in the field.
Industrial Training at Shahjalal Fertilizer Company Limited (SFCL)MdTanvirMahtab2
This presentation is about the working procedure of Shahjalal Fertilizer Company Limited (SFCL). A Govt. owned Company of Bangladesh Chemical Industries Corporation under Ministry of Industries.
Final project report on grocery store management system..pdfKamal Acharya
In today’s fast-changing business environment, it’s extremely important to be able to respond to client needs in the most effective and timely manner. If your customers wish to see your business online and have instant access to your products or services.
Online Grocery Store is an e-commerce website, which retails various grocery products. This project allows viewing various products available enables registered users to purchase desired products instantly using Paytm, UPI payment processor (Instant Pay) and also can place order by using Cash on Delivery (Pay Later) option. This project provides an easy access to Administrators and Managers to view orders placed using Pay Later and Instant Pay options.
In order to develop an e-commerce website, a number of Technologies must be studied and understood. These include multi-tiered architecture, server and client-side scripting techniques, implementation technologies, programming language (such as PHP, HTML, CSS, JavaScript) and MySQL relational databases. This is a project with the objective to develop a basic website where a consumer is provided with a shopping cart website and also to know about the technologies used to develop such a website.
This document will discuss each of the underlying technologies to create and implement an e- commerce website.
Quality defects in TMT Bars, Possible causes and Potential Solutions.PrashantGoswami42
Maintaining high-quality standards in the production of TMT bars is crucial for ensuring structural integrity in construction. Addressing common defects through careful monitoring, standardized processes, and advanced technology can significantly improve the quality of TMT bars. Continuous training and adherence to quality control measures will also play a pivotal role in minimizing these defects.
NO1 Uk best vashikaran specialist in delhi vashikaran baba near me online vas...Amil Baba Dawood bangali
Contact with Dawood Bhai Just call on +92322-6382012 and we'll help you. We'll solve all your problems within 12 to 24 hours and with 101% guarantee and with astrology systematic. If you want to take any personal or professional advice then also you can call us on +92322-6382012 , ONLINE LOVE PROBLEM & Other all types of Daily Life Problem's.Then CALL or WHATSAPP us on +92322-6382012 and Get all these problems solutions here by Amil Baba DAWOOD BANGALI
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CFD Simulation of By-pass Flow in a HRSG module by R&R Consult.pptxR&R Consult
CFD analysis is incredibly effective at solving mysteries and improving the performance of complex systems!
Here's a great example: At a large natural gas-fired power plant, where they use waste heat to generate steam and energy, they were puzzled that their boiler wasn't producing as much steam as expected.
R&R and Tetra Engineering Group Inc. were asked to solve the issue with reduced steam production.
An inspection had shown that a significant amount of hot flue gas was bypassing the boiler tubes, where the heat was supposed to be transferred.
R&R Consult conducted a CFD analysis, which revealed that 6.3% of the flue gas was bypassing the boiler tubes without transferring heat. The analysis also showed that the flue gas was instead being directed along the sides of the boiler and between the modules that were supposed to capture the heat. This was the cause of the reduced performance.
Based on our results, Tetra Engineering installed covering plates to reduce the bypass flow. This improved the boiler's performance and increased electricity production.
It is always satisfying when we can help solve complex challenges like this. Do your systems also need a check-up or optimization? Give us a call!
Work done in cooperation with James Malloy and David Moelling from Tetra Engineering.
More examples of our work https://www.r-r-consult.dk/en/cases-en/
Sachpazis:Terzaghi Bearing Capacity Estimation in simple terms with Calculati...Dr.Costas Sachpazis
Terzaghi's soil bearing capacity theory, developed by Karl Terzaghi, is a fundamental principle in geotechnical engineering used to determine the bearing capacity of shallow foundations. This theory provides a method to calculate the ultimate bearing capacity of soil, which is the maximum load per unit area that the soil can support without undergoing shear failure. The Calculation HTML Code included.
COLLEGE BUS MANAGEMENT SYSTEM PROJECT REPORT.pdfKamal Acharya
The College Bus Management system is completely developed by Visual Basic .NET Version. The application is connect with most secured database language MS SQL Server. The application is develop by using best combination of front-end and back-end languages. The application is totally design like flat user interface. This flat user interface is more attractive user interface in 2017. The application is gives more important to the system functionality. The application is to manage the student’s details, driver’s details, bus details, bus route details, bus fees details and more. The application has only one unit for admin. The admin can manage the entire application. The admin can login into the application by using username and password of the admin. The application is develop for big and small colleges. It is more user friendly for non-computer person. Even they can easily learn how to manage the application within hours. The application is more secure by the admin. The system will give an effective output for the VB.Net and SQL Server given as input to the system. The compiled java program given as input to the system, after scanning the program will generate different reports. The application generates the report for users. The admin can view and download the report of the data. The application deliver the excel format reports. Because, excel formatted reports is very easy to understand the income and expense of the college bus. This application is mainly develop for windows operating system users. In 2017, 73% of people enterprises are using windows operating system. So the application will easily install for all the windows operating system users. The application-developed size is very low. The application consumes very low space in disk. Therefore, the user can allocate very minimum local disk space for this application.
Thermal Radiation and Viscous Dissipation Effects on an Oscillatory Heat and Mass Transfer Flow of a Viscoelastic Fluid with Ohmic Heating
1. International Journal on Recent and Innovation Trends in Computing and Communication ISSN: 2321-8169
Volume: 6 Issue: 7 54 - 65
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54
IJRITCC | July 2018, Available @ http://www.ijritcc.org
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Thermal Radiation and Viscous Dissipation Effects on an Oscillatory Heat and
Mass Transfer Flow of a Viscoelastic Fluid with Ohmic Heating
K. Laxmaiah
Research Scholar of Rayalaseema
University,
Kurnool, A.P- 518007
Laxmaiah78@gmail.com
Dr. D. Raju
Department of Mathematics,
Vidya Jyothi Institute of
Technology (A), Hyderabad –
500075.
20122102india@gmail.com
Dr. M. Chenna Krishna Reddy
Department of Mathematics,
Osmania University,
Hyderabad, Telangana – 500 007
Abstract: An anticipated outcome that is intended chapter is to investigate effects of magnetic field on an oscillatory flow of a viscoelastic
fluid with thermal radiation, viscous dissipation with Ohmic heating which bounded by a vertical plane surface, have been studied.
Analytical solutions for the quasi – linear hyperbolic partial differential equations are obtained by perturbation technique. Solutions for
velocity and temperature distributions are discussed for various values of physical parameters involving in the problem. The effects of
cooling and heating of a viscoelastic fluid compared to the Newtonian fluid have been discussed.
Keywords: MHD, Viscous dissipation, Ohmic heating, Cooling and heating, Oscillatory flow
________________________________________________*****_______________________________________________
INTRODUCTION
In industrial and real life problems, there exist flows which
are simulated not only by the difference of temperature but
also by differences of concentration. These mass transfer
differences affect the rate of heat transfer. The phenomenon
of heat and mass transfer frequently exists in any chemical
processes industries like food processing and polymer
process. Free convection flows are of great interest in many
industrial applications such as fiber and granular insulation,
geothermal systems etc. Flow and heat transfer of an in
compressible viscous fluid over stretching sheet find
applications in manufacturing pro cesses such as the
cooling of the metallic plate, nuclear reactor, extrusion of
polymers, etc. Flow in the neighbourhood of a stagnation
point in a plane was initiated by Hiemenz [13]. Crane [15]
presented the flow over a stretching sheet and obtained
similarity solution in closed analytical form. Fluid flow and
heat transfer character is tics on stretching sheet with
variable temperature condition have been investigated by
Gurbka et al. [16]. Watanabe [30, 31] discussed stability of
boundary layer and effect of suction/injection in MHD flow
under pressure gradient. Noor [3] studied the character is
tics of heat transfer on stretching sheet. Chiam [27]
discussed the heat transfer in fluid flow on stretching sheet
at stagnation point in presence of internal dissipation, heat
source/sink and Ohmic heating. Chamka et al. [2]
considered Hiemenz flow in the presence of magnetic field
through porous media. Sharma and Mishra [23]
investigated steady MHD flow through horizontal channel:
lower being a stretching sheet and upper being a permeable
plate bounded by porous medium. Mahapatra and Gupta
[28] investigated the magnetohydrodynamic stagnation-
point flow towards isothermal stretching sheet and re -
ported that velocity de creases/increases with the increase
in magnetic field intensity when free stream velocity is
smaller/greater than the stretching velocity. Mahapatra and
Gupta [29] studied heat transfer in stagnation-point flow on
stretching sheet with viscous dissipation effect. Attia [10]
analysed the hydromagnetic stagnation point flow on
porous stretching sheet with suction and injection. Pop et
al. [25] discussed the flow over a stretching sheet near a
2. International Journal on Recent and Innovation Trends in Computing and Communication ISSN: 2321-8169
Volume: 6 Issue: 7 54 - 65
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stag nation point taking radiation effect. Chenna Kesavaiah
and Sudhakaraiah [7] studied A note on heat transfer to
magnetic field oscillatory flow of a viscoelastic fluid, Ch
Kesavaiah et.al [6] studied effects of the chemical reaction
and radiation absorption on an unsteady MHD convective
heat and mass transfer flow past a semi-infinite vertical
permeable moving plate embedded in a porous medium
with heat source and suction.
Radiative flows are encountered in countless industrial and
environment processes e.g. heating and cooling chambers,
fossil fuel combustion energy process, evaporation from
large open water reservoirs, astrophysical flows, solar
power technology and space vehicle re – entry. The study
of viscoelastic fluid has become an increasing importance
during recent times. This is mainly due to its many
applications in petroleum drilling, manufacturing of foods
and paper and many other similar activities. The boundary
layer concept of such fluids is of special importance due to
its applications to many engineering problems among
which we cite the possibility of reducing frictional drag on
the hulls of ships and submarines. Oscillatory convection in
a viscoelastic fluid through a porous layer heated from
below was investigated by Rudraiah et.al. [21], later this
problem was extended to magnetohydrodynamic boundary
layer by Sherief and Ezzat [12]. Elastic fluid flow of
magnetohydrodynamic free convection through a porous
medium has been studied by Ezzat et.al [17]. Later,
magnetohydrodynamic flow and heat transfer in a
rectangular duct with temperature dependent viscosity and
Hall effects was investigated by Sayed Ahmad et.al. [20].
Atul Kumar Singh et.al [4] studied heat and mass transfer in
MHD flow of a viscous fluid past a vertical plate under
oscillatory suction velocity. The problem of oscillatory
convection with thermal relaxation has been investigated in
more generally by Zakaria [19]. Mutucumaraswamy and
Senthil Kumar [24] have studied heat and mass transfer
effects on moving vertical plate in the presence of thermal
radiation. For perfectly conducting viscoelastic fluid free
convection effects was studied by El-Bary [1], Chenna
Kesavaiah, P V Satyanarayana [8] MHD and Diffusion
Thermo effects on flow accelerated vertical plate with
chemical reaction, Bhavtosh Awasthi [5] Joule heating
effect in presence of thermal radiation on MHD convective
flow past over a vertical surface in a porous medium,
Zanchini ([9] Effect of viscous dissipation on the
asymptotic behavior of laminar forced convection in
circular tubes
Mostly fluids which are very useful in our daily life and
industry do not obey the Newtonian expression of viscosity,
for examples paints, oil, lubricating greases, human blood,
honey, biological fluids etc. These fluids are called non-
Newtonian due to their importance in our daily life, in last
few years many studies have been reported in which
characteristics of non-Newtonian fluids are explored. Also,
since the class of non-Newtonian fluids is diverse, so
researchers were suggested different models to discus
physical properties of these fluids. Takhar et.al. [11]
Radiation effects on MHD free convection flow of a
radiating gas past a semi-infinite vertical plate, Vajravelu
and Sastry [14] Free convective heat transfer in a viscous
incompressible fluid confined between a long vertical wavy
wall and a parallel flat wall, Sudheer Babu and Satya
Narayana [18] Effects of the chemical reaction and
radiation absorption on free convection flow through
porous medium with variable suction in the presence of
uniform magnetic field, Verma and Mathur [22] Unsteady
flow of a dusty viscous liquid through a circular tube,
Sudheer Kumar et. al. [26] Radiation effect of natural
convection over a vertical cylinder in porous media,
Ambethkar and Singh [32] Effect of magnetic field on an
Oscillatory flow of a viscoelastic fluid with thermal
radiation, Bhavana and Chenna Kesavaiah [34] Perturbation
solution for thermal diffusion and chemical reaction effects
on MHD flow in vertical surface with heat generation.
An anticipated outcome that is intended chapter is to
investigate effects of magnetic field on an oscillatory flow
of a viscoelastic fluid with thermal radiation, viscous
dissipation with Ohmic heating which bounded by a
vertical plane surface, have been studied. Analytical
solutions for the quasi – linear hyperbolic partial
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differential equations are obtained by perturbation
technique. Solutions for velocity and temperature
distributions are discussed for various values of physical
parameters involving in the problem. The effects of cooling
and heating of a viscoelastic fluid compared to the
Newtonian fluid have been discussed.
FORMULATION OF THE PROBLEM
Consider a two - dimensional, unsteady free convective
flow of a viscoelastic incompressible fluid which is
bounded by a vertical infinite plane surface, embedded in a
uniform porous medium with heat source under the action
of uniform magnetic field applied normal to the direction of
the flow. The effect of induced magnetic field is neglected.
The magnetic Reynolds number is assumed to be small.
The terms due to electrical dissipation is neglected in
energy equation. We assume that the surface absorbs the
fluid with a constant velocity and the velocity far away
from the surface oscillates about a mean constant value
with direction parallel to x - axis. x - axis is taken along
the plane surface with direction opposite to the direction of
the gravity and the y -axis is taken to be normal to the
plane surface. The heat due to viscous and joule dissipation
are neglected for small velocities. All the fluid properties
are assumed constant except that the influence of the
density variation with temperature is considered only in the
body force term. It is considered that the free stream
velocity oscillates in magnitude but not in direction. Under
the above stated assumptions and taking the usual
Boussinesque approximation into account, the governing
equations for the flow and temperature field in
dimensionless form are given as under Walters [33]
Figure (1): Physical model and geometry of the problem
2 3
02 2
1u u u u
k GrT M u
t y y y t K
(1)
22 2 2
2
2 2
1
Pr Pr
T T T T T u R
Ec T EcMu
t y y t t y y
(2)
Initial condition has been neglected as the problem is in
semi-infinite region. The relevant boundary conditions in
dimensionless form are
int int
1 , 1 0
0, 0
u e T e at y
u T as y
(3)
The dimensionless quantities introduced in the above
equations are defined as
2 2 2
0 0 0 0 0 0
2 2 2
0 0 0
2 2 3
0
0 0 3 2
0 0
, , , , , ,
161
, , Pr ,
pw
pw
y v t v k v B QT Tu
u y t T K M Q
v v C vT T
Cg T Tv T
k k Gr R
v k k v
(4)
where u is the velocity along the x -axis, is constant
obtained after integration conservation of mass in pre-non
dimensional form not mentioned, v is the velocity along
y-axis, is the kinematic viscosity, g is the acceleration due
to gravity, T is the temperature of the fluid, is the
coefficient of volume expansion, pC is the specific heat at
constant pressure, is a constant, σ is the Stefan-Boltzmann
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constant, is the mean absorption coefficient, wT is the
temperature of the surface, is the temperature far away from
the surface, Pr is the Prandtl number, Gr is the Grashof
number, rq is radiative heat flux in y direction, is the
density, t is the time, k is the thermal conductivity of the
fluid, n is the frequency of oscillation of the fluid and 0k is
the elastic parameter, 0B is uniform magnetic field
strength, M is the magnetic field parameter which is the
ratio of magnetic force to the inertial force. It is a measure
of the effect of flow on the magnetic field. Finally R is the
radiation parameter. The effect of radiation parameter is to
increase the rate of energy transport to the gas, thereby
making the boundary layer becomes thicker and the fluid
becomes warmer. Emissivity has been omitted in the
expression of R, because for a black body the value of
emissivity is unity. For Non non-Newtonian fluids like
thick black paint the value of emissivity is 0.978.
SOLUTION OF THE PROBLEM
Equation (6) – (8) are coupled, non – linear partial
differential equations and these cannot be solved in closed –
form using the initial and boundary conditions (9).
However, these equations can be reduced to a set of
ordinary differential equations, which can be solved
analytically. This can be done by representing the velocity
and temperature of the fluid in the neighbourhood of the
fluid in the neighbourhood of the plate as
0 1
0 1
it
it
u u y e u y
T T y e T y
(5)
Substituting (5) in Equation (1) – (2) and equating the
harmonic and non – harmonic terms, and neglecting the
higher order terms of 2
0 , we obtain
2
0 0 0 0u u u GrT
(6)
2
0 1 1 1 11 ik u u u GrT
(7)
2 2
0 0 0 0 0Pr Pr PrT T RT Ec u Ec M u
(8)
1 1 1 0 1 0 1Pr 1 Pr Pr 2Pr 2PrT i T i R T Ecu u EcMu u
(9)
The corresponding boundary conditions can be written as
0 0 1
0 0 1
1, 1, 1 0
0, 0, 0
u T T at y
u T T as y
(10)
The Equation (6) – (9) still coupled and non-linear
equations whose exact solution not possible, so we expand
0 1 0 1, , ,u u T T in terms of 0 1,f f of Eckert number
Ec in the following form as Eckert number is very small
for incompressible flows
0 01 02
1 11 12
f f y Ec f y
f f y Ecf y
(11)
Substituting (10) in Equations (6) - (9), equating the
coefficients of and neglecting the higher order terms of
2
O Ec , we obtain
2
01 01 01 01u u u GrT
2
02 02 02 02u u u GrT
(13)
2
0 11 11 11 111 ik u u u GrT
2
0 12 12 12 121 ik u u u GrT
(15)
01 01 01Pr 0T T RT
(16)
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2 2
02 02 02 01 01Pr Pr PrT T RT u M u
(17)
11 11 11Pr 1 Pr Pr 0T i T i R T
(18)
12 12 12 01 11 01 11Pr 1 Pr Pr 2Pr 2PrT i T i R T u u Mu u
(19)
The corresponding boundary conditions can be written as
01 02 01 02
11 12 11 12
01 02 01 02
11 12 11 12
1, 0, 1, 0
0
1, 0, 1, 0
0, 0
, 0, 0
u u T T
at y
u u T T
u u T T
as y
u u T T
(20)
Solving these differential equations from (6) – (9) using
boundary conditions (10) we obtain mean velocity and
mean temperature as follows.
2 4
01 1 2, m y m y
u y t A e A e
2
01 , m y
T y t e
2 42 4 2 2 4 22 2 2 2 2
02 10 11 12 13 14 15 16,
m m ym y m y m y m y m y m y
u y t A e A e A e A e A e A e A e
2 44 2 2 4 22 2 2 2 2
02 3 4 5 6 7 8,
m m ym y m y m y m y m y
T y t A e A e A e A e A e A e
In view of the above equation (11) becomes;
2 4 2 4 2 2 4
2 42
2 2 2 2
0 1 2 10 11 12 13 14
2
15 16
, m y m y m y m y m y m y m y
m m ym y
u y t A e A e Ec A e A e A e A e A e
A e A e
2 42 4 2 2 4 22 2 2 2 2
0 3 4 5 6 7 8,
m m ym y m y m y m y m y m y
T y t e Ec A e A e A e A e A e A e
Skin friction
1 2 2 4 10 2 11 4 12 2 13 2 14 4
0
15 2 16 2 4
2 2 2 2
2 2
y
u
A m A m Ec A m A m A m A m A m
y
A m A m m
Rate of heat transfer
2 3 4 4 2 5 2 6 4 7 2 2 4 8
0
2 2 2 2 2
y
T
m Ec A m A m A m A m A m m m A
y
APPENDIX
2
2
Pr Pr 4
2
R
m
,
2
2
8
1 1 4 1
,
2
m M
K
2
1 2 2
2 2
1
,
Gr
i M A
K m m
,
2 11A A
2 2
4 2
3 2
4 4
Pr
,
4 2Pr
m A
A
m m R
2 2
2 1
4 2
2 2
Pr
,
4 2Pr
m A
A
m m R
1 2
5 2
2 4 2 4
2Pr
Pr
A A
A
m m m m R
2
2
6 2
4 4
Pr
,
4 2Pr
A
A
m m R
2
1
7 2
2 2
Pr
,
4 2Pr
A
A
m m R
1 2
8 2
2 4 2 4
2Pr
Pr
A A
A
m m m m R
9 1 2 3 4 5 6 7 8A A A A A A A A A
9
10 2 2
6 6
,
GrA
A
m m
3
11 2 2
4 4
,
4 2
GrA
A
m m
4
12 2 2
2 2
,
4 2
GrA
A
m m
5
13 2 2
2 24 2
GrA
A
m m
6
14 2 2
4 4
,
4 2
GrA
A
m m
7
15 2 2
2 2
,
4 2
GrA
A
m m
8
16 2 2
2 4 2 4
GrA
A
m m m m
17 10 11 12 13 14 15 16A A A A A A A A
RESULTS AND DISCUSSION
In order to get clear insight into the problem, numerical
computations are carried out for various parameters like
Grashof number Gr , Permeability of the porous
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medium K , Radiation parameter R , Heat source
parameter Q , Prandtl number Pr and Magnetic field
parameter M are displayed .The numerical values of
mean temperature has been obtained for different
parameters like ,R Q and Pr as taken in the governing
equation (2) . Similarly the numerical values of mean
velocity have been obtained for different parameters like
, , , ,PrGr K R Q and M as taken in the governing
equation (1). Plotting the mean velocity profiles, mean
temperature profiles, skin friction and Nusselt number are
pictorially has been showed from figures (2) - (15). It can
be seen that the Prandtl number Pr 0.71 has been
taken because this value corresponds to water which is
known to be the Newtonian fluid. Free convection currents
exist because of the temperature difference pT T
which may be positive, zero or negative. We know that the
Grashof number Gr is a common dimensionless group
that is used when analyzing the potential effect of
convection introduced by large temperature differences. So
Grashof number will assume positive. From the physical
point of view, 0Gr corresponds to an externally heated
plate as free convection currents are carried towards the
plate. 0Gr Corresponds to an externally cooled plate
and 0Gr corresponds to the absence of free convection
currents. In this investigation we were taken 0Gr
which corresponds to externally cooled plate. The effect of
cooling on the velocity for the Grashof number Gr can
be observed from figure (2) respectively, we observe from
this figure that an increase Grashof number the mean
velocity profiles increase in cases of cooling for a
viscoelastic fluid. The influence of magnetic parameter
M is presented graphically in figure (3). As expected,
the mean velocity decreases with increasing magnetic
parameter. The effect of the transverse magnetic field leads
to a resistive type of force similar to drag force, which
tends to resist the retarding flow of viscoelastic fluid flow.
The effect of thermal radiation parameter is important for
temperature profiles. Figure (4) represents the velocity
profiles for different permeability parameter. Permeability
is the measure of the materials ability to permit liquid or
gas through its pores or voids. Filters made of soil and earth
dams are very much based upon the permeability of a
saturated soil under load. Permeability is part of the
proportionality constant in Darcy’s law. Darcy’s law relates
the flow rate and fluid properties to the pressure gradient
applied to the porous medium. Hence for an increase in the
permeability of the porous medium the velocity boundary
layer increases. Thus the velocity profile is highly
influenced by the enhancement of permeability. Eckert
number expresses the relation between kinetic energy and
the enthalpy. The viscous dissipation is characterized by
Eckert number. Viscous dissipation plays an important role
in the thermal transport of the fluid. Figure (5) illustrates
the effect of viscous dissipation. It is revealed from the
figure that viscous dissipation gradually reduces the
velocity boundary layer with increasing values of Eckert
number. Figure (6) displays the effect of Prandtl number
Pr on velocity distribution. It is noticed that the velocity
increases with increasing values of Prandtl number. Figure
(7) illustrates the effects of the radiation parameter R . It
is observed from this figure that velocity goes on increasing
with the increase of radiation parameter. Figure (8) is
obtained by plotting the temperature distribution against
variable y for different values of Eckert number Ec .
From this graph; it is clear that the temperature distribution
increases with increase in the value of the Eckert number.
Physically, this behaviour is observed because in the
presence of viscous dissipation, heat energy is stored in the
fluid and there is significant more generation of heat along
the surface. Also, it is evident from this figure that the
effect of viscous dissipation parameter is to enhance the
thermal boundary layer thickness. Figure (9) elucidates that
the fluid temperature enhance with an increase in the
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porous parameter K . Figure (10) represents the
temperature profiles for Prandtl number Pr respectively.
In this figure the size of the thermal boundary layer
decrease with increasing values of Prandtl number. Prandtl
number being the ratio of momentum diffusivity to the
thermal diffusivity, together with Ohmic heating induces
the temperature. Hence, there is a decrease in the thermal
boundary layer. The temperature distribution for different
values of Grashof number Gr observed in figure (11); it
is clear that an increases in Grashof number the results were
decreases. Figure (12) depicts the temperature profiles that
increase in radiation parameter R decreases the thermal
boundary layer. The increasing value of radiation
corresponds to an increased dominance of conduction. This
radiation parameter along with Eckert number and magnetic
field enhance the thermal boundary layer thickness. Also, it
is observed that the magnetic parameter M effect due to
the effects on electromagnetic work is found to produce an
increase in the fluid temperature and thus a decrease in the
surface temperature gradient as shown in figure (13).
Further, it is found that the effect of viscous heating leads
to an increase in the temperature; this effect is more
pronounced in the presence of magnetic field. Figure (14)
demonstrates the effect of radiation parameter R on skin
friction. It shows that the skin friction reduces with raising
values of radiation parameter. Figure (15) shows that the
effect of radiation parameter R on Nusselt number. It is
examined that the Nusselt number decreases with the
increases in radiation parameter.
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FIGURES:
0 0.5 1 1.5 2 2.5 3 3.5 4
-2
-1
0
1
2
3
y
Figure (2): Mean Velocity profiles for different values of Gr
u0
K=0.5,Ec=0.01,R=3.0,Pr=0.9,M=1.0
Gr=1.0,2.0,3.0.,4.0
0 0.5 1 1.5 2 2.5 3 3.5 4
-2
-1
0
1
2
3
4
y
Figure (3): Mean Velocity Profiles for different values of M
u0
K=0.5,Ec=0.01,R=3.0,Pr=0.9,Gr=5.0
M=1.0,2.0,3.0,4.0
0 0.5 1 1.5 2
-1.5
-1
-0.5
0
0.5
1
1.5
y
Figure (4): Mean Velocity Profiles for different values of K
u0
K=1.0,2.0,3.0,4.0
Ec=0.01,R=5.0,Pr=0.71,M=5.0,Gr=5.0
0 0.5 1 1.5 2 2.5 3
-1
0
1
2
3
4
y
Figure (5): Mean velocity profiles for different values of Ec
u0
K=0.5,R=3.0,Pr=0.9,M=1.0,Gr=5.0
Ec=0.02,0.04,0.06,0.08
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0 0.5 1 1.5 2 2.5 3
-1
-0.5
0
0.5
1
1.5
2
y
Figure (6): Mean velocity profiles for different values of Pr
u0
K=0.5,Ec=0.01,R=3.0,M=1.0,Gr=5.0
Pr=0.2,0.4,0.6,0.8
0 0.5 1 1.5 2 2.5 3 3.5 4
-1.5
-1
-0.5
0
0.5
1
1.5
2
2.5
y
Figure (7): Mean velocity profiles for different values of R
u0
R=0.5,1.0,1.5,2.0
K=1.0,Ec=0.01,Pr=0.9,M=1.0,Gr=5.0
0 0.5 1 1.5 2
0
0.2
0.4
0.6
0.8
1
y
Figure (8): Mean Temperature profiles for different values of Ec
T0
K=2.0,R=4.0,Pr=0.71,M=2.0,Gr=5.0
Ec=0.02,0.04,0.06,0.08
0 0.5 1 1.5 2 2.5 3 3.5 4
0
0.2
0.4
0.6
0.8
1
1.2
1.4
y
Figure (9): Mean Temperature profiles for different values of K
T0
Ec=0.01,R=1.0,Pr=0.9,M=1.0,Gr=5.0
K=1.0,2.0,3.0,4.0
11. International Journal on Recent and Innovation Trends in Computing and Communication ISSN: 2321-8169
Volume: 6 Issue: 7 54 - 65
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64
IJRITCC | July 2018, Available @ http://www.ijritcc.org
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0 0.5 1 1.5 2 2.5 3 3.5 4
0
0.2
0.4
0.6
0.8
1
y
Figure (10): Mean Temperature profiles for different values of Pr
T0
K=0.5,E=0.01,R=1.0,M=1.0,Gr=5.0
Pr=0.2,0.4,0.6,0.8
0 0.5 1 1.5 2 2.5 3 3.5 4
0
0.2
0.4
0.6
0.8
1
y
Figure (11): Mean Temperature profiles for different values of Gr
T0
Gr=1.0,2.0,3.0,4.0
R=1.0,Ec=0.01,Pr=0.9,M=1.0,K=1.0
0 0.5 1 1.5 2 2.5 3 3.5 4
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
y
Figure (12): Mean Temperature profiles for different values of R
T0
K=0.5,Ec=0.01,Pr=0.9,M=1.0,Gr=5.0
R=1.0,2.0,3.0,4.0
0 0.5 1 1.5 2 2.5 3 3.5 4
0
0.2
0.4
0.6
0.8
1
1.2
1.4
y
Figure (13): Mean Temperature profiles for different values of M
T0
M = 0.5, 1, 1.5, 2
K=5.0,Ec=0.01,R=1.0,Pr=0.71,M=1.0,Gr=10.0
12. International Journal on Recent and Innovation Trends in Computing and Communication ISSN: 2321-8169
Volume: 6 Issue: 7 54 - 65
________________________________________________________________________
65
IJRITCC | July 2018, Available @ http://www.ijritcc.org
_______________________________________________________________
1 1.5 2 2.5 3 3.5 4
2
4
6
8
10
12
14
Gr
Figure (14): Skin friction for different values of R
R=0.5,1.0,1.5,2.0
K=1.0,Ec=0.01,Pr=0.9,M=1.0
1 1.5 2 2.5 3 3.5 4
-1.8
-1.7
-1.6
-1.5
-1.4
-1.3
-1.2
-1.1
Gr
Figure (15): Nusselt number for different values of R
Nu
R=0.5,1.0,1.5,2.0
K=1.0,Ec=0.01,Pr=0.71,M=2.0
Acknowledgment: I am very much Thankful to Rayalaseema University, Kurnool, A.P