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.
The papers for publication in The International Journal of Engineering& Science are selected through rigorous peer reviews to ensure originality, timeliness, relevance, and readability.
Heat Transfer on Steady MHD rotating flow through porous medium in a parallel...IJERA Editor
We discussed the combined effects of radiative heat transfer and a transverse magnetic field on steady rotating flow of an electrically conducting optically thin fluid through a porous medium in a parallel plate channel and non-uniform temperatures at the walls. The analytical solutions are obtained from coupled nonlinear partial differential equations for the problem. The computational results are discussed quantitatively with the aid of the dimensionless parameters entering in the solution.
Effect of Radiation on Mixed Convection Flow of a Non-Newtonian Nan fluid ove...IJMER
International Journal of Modern Engineering Research (IJMER) is Peer reviewed, online Journal. It serves as an international archival forum of scholarly research related to engineering and science education.
Radiation Effects on MHD Free Convective Rotating Flow with Hall EffectsIJERA Editor
In this paper, we have studied the unsteady an incompressible MHD rotating free convection flow of Viscoelastic fluid through a porous medium with simultaneous heat and mass transfer near an infinite vertical oscillating porous plate under the influence of uniform transverse magnetic field. The governing equations of the flow field are solved by a regular perturbation method for small elastic parameter. The expressions for the velocity, temperature, concentration have been derived analytically and also its behaviour is computationally discussed with reference to different flow parameters with the help of graphs. The skin friction, the Nusselt number and the Sherwood number are also obtained and their behaviour discussed.
Non-Darcy Convective Heat and Mass Transfer Flow in a Vertical Channel with C...IJERA Editor
In this paper, We made an attempt to study thermo-diffusion and dissipation effect on non-Darcy convective
heat and Mass transfer flow of a viscous fluid through a porous medium in a vertical channel with Radiation and
heat sources. The governing equations of flow, heat and mass transfer are solved by using regular perturbation
method with δ, the porosity parameter as a perturbation parameter. The velocity, temperature, concentration,
shear stress and rate of Heat and Mass transfer are evaluated numerically for different variations of parameter.
International Journal of Engineering and Science Invention (IJESI)inventionjournals
International Journal of Engineering and Science Invention (IJESI) is an international journal intended for professionals and researchers in all fields of computer science and electronics. IJESI publishes research articles and reviews within the whole field Engineering Science and Technology, 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.
Effects of Variable Viscosity and Thermal Conductivity on MHD free Convection...theijes
A steady two-dimensional MHD free convection and mass transfer flow past an inclined vertical surface in the presence of heat generation and a porous medium have been studied numerically when the fluid viscosity and thermal conductivity are assumed to be vary as inverse linear function of temperature. The governing partial differential equations are reduced to a system of ordinary differential equations by introducing similarity transformations. The non-linear similarity equations are solved numerically by applying the Runge-Kutta method of fourth order with shooting technique. The numerical results are presented graphically to illustrate influence of different values of the parameters on the velocity, temperature and concentration profiles. Skin friction, Nusselt number and Sherwood number are also completed and presented in tabular form.
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.
Heat Transfer on Steady MHD rotating flow through porous medium in a parallel...IJERA Editor
We discussed the combined effects of radiative heat transfer and a transverse magnetic field on steady rotating flow of an electrically conducting optically thin fluid through a porous medium in a parallel plate channel and non-uniform temperatures at the walls. The analytical solutions are obtained from coupled nonlinear partial differential equations for the problem. The computational results are discussed quantitatively with the aid of the dimensionless parameters entering in the solution.
Effect of Radiation on Mixed Convection Flow of a Non-Newtonian Nan fluid ove...IJMER
International Journal of Modern Engineering Research (IJMER) is Peer reviewed, online Journal. It serves as an international archival forum of scholarly research related to engineering and science education.
Radiation Effects on MHD Free Convective Rotating Flow with Hall EffectsIJERA Editor
In this paper, we have studied the unsteady an incompressible MHD rotating free convection flow of Viscoelastic fluid through a porous medium with simultaneous heat and mass transfer near an infinite vertical oscillating porous plate under the influence of uniform transverse magnetic field. The governing equations of the flow field are solved by a regular perturbation method for small elastic parameter. The expressions for the velocity, temperature, concentration have been derived analytically and also its behaviour is computationally discussed with reference to different flow parameters with the help of graphs. The skin friction, the Nusselt number and the Sherwood number are also obtained and their behaviour discussed.
Non-Darcy Convective Heat and Mass Transfer Flow in a Vertical Channel with C...IJERA Editor
In this paper, We made an attempt to study thermo-diffusion and dissipation effect on non-Darcy convective
heat and Mass transfer flow of a viscous fluid through a porous medium in a vertical channel with Radiation and
heat sources. The governing equations of flow, heat and mass transfer are solved by using regular perturbation
method with δ, the porosity parameter as a perturbation parameter. The velocity, temperature, concentration,
shear stress and rate of Heat and Mass transfer are evaluated numerically for different variations of parameter.
International Journal of Engineering and Science Invention (IJESI)inventionjournals
International Journal of Engineering and Science Invention (IJESI) is an international journal intended for professionals and researchers in all fields of computer science and electronics. IJESI publishes research articles and reviews within the whole field Engineering Science and Technology, 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.
Effects of Variable Viscosity and Thermal Conductivity on MHD free Convection...theijes
A steady two-dimensional MHD free convection and mass transfer flow past an inclined vertical surface in the presence of heat generation and a porous medium have been studied numerically when the fluid viscosity and thermal conductivity are assumed to be vary as inverse linear function of temperature. The governing partial differential equations are reduced to a system of ordinary differential equations by introducing similarity transformations. The non-linear similarity equations are solved numerically by applying the Runge-Kutta method of fourth order with shooting technique. The numerical results are presented graphically to illustrate influence of different values of the parameters on the velocity, temperature and concentration profiles. Skin friction, Nusselt number and Sherwood number are also completed and presented in tabular form.
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.
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.
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.
The papers for publication in The International Journal of Engineering& Science are selected through rigorous peer reviews to ensure originality, timeliness, relevance, and readability
Effects of Hall and thermal on MHD Stokes’ second problem for unsteady second...IJERA Editor
In this paper, we investigated the combined effects of Hall and thermal on MHD Stokes’ second problem for
unsteady second grade fluid flow through porous medium. The expressions for the velocity field and the
temperature field are obtained analytically. The effects of various pertinent parameters on the velocity field and
temperature field are studied in detail with the aid of graphs.
Effect of Mass Transfer and Hall Current on Unsteady MHD Flow with Thermal Di...IJERA Editor
The paper investigated the effect of mass transfer and Hall current on unsteady MHD flow with Thermal Diffusivity of a viscoelastic fluid in a porous medium. The resultant equations have been solved analytically. The velocity, temperature and concentration distributions are derived, and their profiles for various physical parameters are shown through graphs. The coefficient of Skin friction, Nusselt number and Sherwood number at the plate are derived and their numerical values for various physical parameters are presented through tables. The influence of various parameters such as the thermal Grashof number, mass Grashof number, Schmidt number, Prandtl number, viscoelasticity parameter, Hartmann number, Hall parameter, and the frequency of oscillation on the flow field are discussed. It is seen that, the velocity increases with the increase in Gc, Gr, m and K, and it decreases with increase in Sc,M, n and Pr, temperature decreases with increase in Pr and n, Also, the concentration decreases with the increase in Sc and n.
STEADY FLOW OF A VISCOUS FLUID THROUGH A SATURATED POROUS MEDIUM AT A CONSTAN...Journal For Research
In this paper the Steady flow of a viscous fluid through a porous medium over a fixed horizontal, impermeable and thermally insulated bottom. The flow through the porous medium satisfies the general momentum and energy equations are obtained when the temperature on the fixed bottom and on free surface prescibed. By using Galerkin Method, the expression for Velocity and Drag force are obtained. The Galerkin Method endowed with distinct features that account for its superiority over competing methods. The effect of different parameters on Velocity and Drag force are discussed with the help of graphs.
Thermal Effects in Stokes’ Second Problem for Unsteady Second Grade Fluid Flo...IOSR Journals
In this paper, we investigated the effects of magnetic field and thermal in Stokes’ second problem for unsteady second grade fluid flow through a porous medium. The expressions for the velocity field and the temperature field are obtained analytically. The effects of various pertinent parameters on the velocity field and temperature field are studied through graphs in detail.
Natural convection heat transfer oscillatory flow of an elastico viscous flui...eSAT Publishing House
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.
Natural convection heat transfer oscillatory flow of an elastico viscous flui...eSAT Journals
Abstract This paper examines the problem of two dimensional unsteady free convection oscillatory flow of an Elastico-viscous fluid past an impulsively started infinite vertical plate with constant heat flux and heat generation. The flow is subjected to a constant suction. Using perturbation techniquethe expressions are obtained for velocity, temperature distribution and skin friction. The results obtained are discussed for various numerical values of the parameters entered into the equations governing the flow, with help of graphs.
TWO FLUID ELECTROMAGNETO CONVECTIVE FLOW AND HEAT TRANSFER BETWEEN VERTICAL W...IAEME Publication
The mixture of viscous and magneto convective flow and heat transfer between a long vertical wavy wall and a parallel flat wall in the presence of applied electric field parallel to gravity , magnetic field normal to gravity in the presence of source or sink is investigated. The non-linear equations governing the flow are solved using the linearization technique. The effect of Grash of number and width ratio is to promote the flow for both open and short circuits. The effect of Hartmann number is to suppress the flow, the effect of source is to promote and the effect of sink is to suppress the velocity for open and short circuit s. Conducting ratio decreases the temperature where as width ratio increases the temperature.
Homotopy Analysis to Soret and Dufour Effects on Heat and Mass Transfer of a ...iosrjce
The objective of this paper is to study the Soret and Dufour effects on the free convection boundary
layer flow of an incompressible, viscous and chemically reacting fluid over a vertical plate in the presence of
viscous dissipation. The governing partial differential equations are converted to a set of ordinary differential
equations using suitable similarity transformations. The resulting equations are solved analytically using
homotopy analysis method (HAM). The convergence of obtained analytical solutions is explicitly discussed. The
effects of various parameters on dimensionless velocity, temperature and concentration profiles are discussed
with the help of graphs. The numerical values of skin friction, Nusselt number and Sherwood number for
different parameters are presented in tabular form. Our results are compared with the previously published
results and are found to be in good agreement.
Unsteady MHD Flow Past A Semi-Infinite Vertical Plate With Heat Source/ Sink:...IJERA Editor
In the present paper a numerical attempt is made to study the combined effects of heat source and sink on unsteady laminar boundary layer flow of a viscous, incompressible, electrically conducting fluid along a semiinfinite vertical plate. A magnetic field of uniform strength is applied normal to the flow. The governing boundary layer equations are solved numerically, using Crank-Nicolson method. Graphical results of velocity and temperature fields, tabular values of Skin-friction and Nusselt are presented and discussed at various parametric conditions. From this study, it is found that the velocity and temperature of the fluid increase in the presence of heat source but they decrease in the presence of heat absorption parameter.
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.
Thermal Energy on Water and Oil placed Squeezed Carreau Nanofluids FlowMOHAMMED FAYYADH
this research work is focused on the numerical study regarding Carreau nanofluids’ squeezed flow via a permeable sensor surface. The nanofluids’ thermal conductivity is considered to be dependent on temperature. A convenient transformation is employed to reorganize governing equations into ordinary differential equations. The Runge–Kutta method and shooting technique are employed to accurately solve the boundary layer momentum as well as heat equations. Graphical and tabular aids are used to evaluate the solutions of applicable parameter with regards to temperature as well as the rate of heat transfer. In this work, a comparison is done from three nanofluids, i.e. copper, oxide aluminum and SWCNTs (nanoparticles) based fluids (water, crude oil and ethylene glycol) to improve heat transfer. It is found that the temperature dimensionless was dropped and dominated with the squeezed flow parameter and nanoparticle volume fraction parameter. That is for all nanomaterials. When compared with water and ethylene glycol, crude oil is cooler and a thinner thermal boundary layer is presented. For the rate of heat transfer (Nusselt number) was higher in: Ethylene glycol- SWCNT with high permeable velocity parameter 0.2, Ethylene glycol- SWCNT with low squeeze flow parameter 0.1 and Ethylene glycol- oxide aluminum with low nanoparticle volume fraction 0.05
Soil fertility improvement by Tithonia diversifolia (Hemsl.) A Gray and its e...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.
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.
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.
The papers for publication in The International Journal of Engineering& Science are selected through rigorous peer reviews to ensure originality, timeliness, relevance, and readability.
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.
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.
The papers for publication in The International Journal of Engineering& Science are selected through rigorous peer reviews to ensure originality, timeliness, relevance, and readability
Effects of Hall and thermal on MHD Stokes’ second problem for unsteady second...IJERA Editor
In this paper, we investigated the combined effects of Hall and thermal on MHD Stokes’ second problem for
unsteady second grade fluid flow through porous medium. The expressions for the velocity field and the
temperature field are obtained analytically. The effects of various pertinent parameters on the velocity field and
temperature field are studied in detail with the aid of graphs.
Effect of Mass Transfer and Hall Current on Unsteady MHD Flow with Thermal Di...IJERA Editor
The paper investigated the effect of mass transfer and Hall current on unsteady MHD flow with Thermal Diffusivity of a viscoelastic fluid in a porous medium. The resultant equations have been solved analytically. The velocity, temperature and concentration distributions are derived, and their profiles for various physical parameters are shown through graphs. The coefficient of Skin friction, Nusselt number and Sherwood number at the plate are derived and their numerical values for various physical parameters are presented through tables. The influence of various parameters such as the thermal Grashof number, mass Grashof number, Schmidt number, Prandtl number, viscoelasticity parameter, Hartmann number, Hall parameter, and the frequency of oscillation on the flow field are discussed. It is seen that, the velocity increases with the increase in Gc, Gr, m and K, and it decreases with increase in Sc,M, n and Pr, temperature decreases with increase in Pr and n, Also, the concentration decreases with the increase in Sc and n.
STEADY FLOW OF A VISCOUS FLUID THROUGH A SATURATED POROUS MEDIUM AT A CONSTAN...Journal For Research
In this paper the Steady flow of a viscous fluid through a porous medium over a fixed horizontal, impermeable and thermally insulated bottom. The flow through the porous medium satisfies the general momentum and energy equations are obtained when the temperature on the fixed bottom and on free surface prescibed. By using Galerkin Method, the expression for Velocity and Drag force are obtained. The Galerkin Method endowed with distinct features that account for its superiority over competing methods. The effect of different parameters on Velocity and Drag force are discussed with the help of graphs.
Thermal Effects in Stokes’ Second Problem for Unsteady Second Grade Fluid Flo...IOSR Journals
In this paper, we investigated the effects of magnetic field and thermal in Stokes’ second problem for unsteady second grade fluid flow through a porous medium. The expressions for the velocity field and the temperature field are obtained analytically. The effects of various pertinent parameters on the velocity field and temperature field are studied through graphs in detail.
Natural convection heat transfer oscillatory flow of an elastico viscous flui...eSAT Publishing House
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.
Natural convection heat transfer oscillatory flow of an elastico viscous flui...eSAT Journals
Abstract This paper examines the problem of two dimensional unsteady free convection oscillatory flow of an Elastico-viscous fluid past an impulsively started infinite vertical plate with constant heat flux and heat generation. The flow is subjected to a constant suction. Using perturbation techniquethe expressions are obtained for velocity, temperature distribution and skin friction. The results obtained are discussed for various numerical values of the parameters entered into the equations governing the flow, with help of graphs.
TWO FLUID ELECTROMAGNETO CONVECTIVE FLOW AND HEAT TRANSFER BETWEEN VERTICAL W...IAEME Publication
The mixture of viscous and magneto convective flow and heat transfer between a long vertical wavy wall and a parallel flat wall in the presence of applied electric field parallel to gravity , magnetic field normal to gravity in the presence of source or sink is investigated. The non-linear equations governing the flow are solved using the linearization technique. The effect of Grash of number and width ratio is to promote the flow for both open and short circuits. The effect of Hartmann number is to suppress the flow, the effect of source is to promote and the effect of sink is to suppress the velocity for open and short circuit s. Conducting ratio decreases the temperature where as width ratio increases the temperature.
Homotopy Analysis to Soret and Dufour Effects on Heat and Mass Transfer of a ...iosrjce
The objective of this paper is to study the Soret and Dufour effects on the free convection boundary
layer flow of an incompressible, viscous and chemically reacting fluid over a vertical plate in the presence of
viscous dissipation. The governing partial differential equations are converted to a set of ordinary differential
equations using suitable similarity transformations. The resulting equations are solved analytically using
homotopy analysis method (HAM). The convergence of obtained analytical solutions is explicitly discussed. The
effects of various parameters on dimensionless velocity, temperature and concentration profiles are discussed
with the help of graphs. The numerical values of skin friction, Nusselt number and Sherwood number for
different parameters are presented in tabular form. Our results are compared with the previously published
results and are found to be in good agreement.
Unsteady MHD Flow Past A Semi-Infinite Vertical Plate With Heat Source/ Sink:...IJERA Editor
In the present paper a numerical attempt is made to study the combined effects of heat source and sink on unsteady laminar boundary layer flow of a viscous, incompressible, electrically conducting fluid along a semiinfinite vertical plate. A magnetic field of uniform strength is applied normal to the flow. The governing boundary layer equations are solved numerically, using Crank-Nicolson method. Graphical results of velocity and temperature fields, tabular values of Skin-friction and Nusselt are presented and discussed at various parametric conditions. From this study, it is found that the velocity and temperature of the fluid increase in the presence of heat source but they decrease in the presence of heat absorption parameter.
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.
Thermal Energy on Water and Oil placed Squeezed Carreau Nanofluids FlowMOHAMMED FAYYADH
this research work is focused on the numerical study regarding Carreau nanofluids’ squeezed flow via a permeable sensor surface. The nanofluids’ thermal conductivity is considered to be dependent on temperature. A convenient transformation is employed to reorganize governing equations into ordinary differential equations. The Runge–Kutta method and shooting technique are employed to accurately solve the boundary layer momentum as well as heat equations. Graphical and tabular aids are used to evaluate the solutions of applicable parameter with regards to temperature as well as the rate of heat transfer. In this work, a comparison is done from three nanofluids, i.e. copper, oxide aluminum and SWCNTs (nanoparticles) based fluids (water, crude oil and ethylene glycol) to improve heat transfer. It is found that the temperature dimensionless was dropped and dominated with the squeezed flow parameter and nanoparticle volume fraction parameter. That is for all nanomaterials. When compared with water and ethylene glycol, crude oil is cooler and a thinner thermal boundary layer is presented. For the rate of heat transfer (Nusselt number) was higher in: Ethylene glycol- SWCNT with high permeable velocity parameter 0.2, Ethylene glycol- SWCNT with low squeeze flow parameter 0.1 and Ethylene glycol- oxide aluminum with low nanoparticle volume fraction 0.05
Soil fertility improvement by Tithonia diversifolia (Hemsl.) A Gray and its e...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.
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.
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.
The papers for publication in The International Journal of Engineering& Science are selected through rigorous peer reviews to ensure originality, timeliness, relevance, and readability.
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.
The papers for publication in The International Journal of Engineering& Science are selected through rigorous peer reviews to ensure originality, timeliness, relevance, and readability.
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.
The papers for publication in The International Journal of Engineering& Science are selected through rigorous peer reviews to ensure originality, timeliness, relevance, and readability.
Theoretical work submitted to the Journal should be original in its motivation or modeling structure. Empirical analysis should be based on a theoretical framework and should be capable of replication. It is expected that all materials required for replication (including computer programs and data sets) should be available upon request to the authors.
Comparative Analysis of low area and low power D Flip-Flop for Different Logi...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.
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.
The papers for publication in The International Journal of Engineering& Science are selected through rigorous peer reviews to ensure originality, timeliness, relevance, and readability.
Characterization of the Mechanical Properties of Aluminium Alloys with SiC Di...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.
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.
The papers for publication in The International Journal of Engineering& Science are selected through rigorous peer reviews to ensure originality, timeliness, relevance, and readability.
An Experimental Study of Low Velocity Impact (Lvi) On Fibre Glass Reinforced ...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.
The Study of Impact Damage on C-Type and E-Type of Fibreglass Subjected To Lo...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.
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.
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.
The papers for publication in The International Journal of Engineering& Science are selected through rigorous peer reviews to ensure originality, timeliness, relevance, and readability.
Theoretical work submitted to the Journal should be original in its motivation or modeling structure. Empirical analysis should be based on a theoretical framework and should be capable of replication. It is expected that all materials required for replication (including computer programs and data sets) should be available upon request to the authors.
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.
The papers for publication in The International Journal of Engineering& Science are selected through rigorous peer reviews to ensure originality, timeliness, relevance, and readability.
Theoretical work submitted to the Journal should be original in its motivation or modeling structure. Empirical analysis should be based on a theoretical framework and should be capable of replication. It is expected that all materials required for replication (including computer programs and data sets) should be available upon request to the authors.
Advanced Embedded Automatic Car Parking Systemtheijes
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.
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.
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.
Performance Analysis of Dispersion Compensation in Long Haul Optical Fiber u...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.
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.
The papers for publication in The International Journal of Engineering& Science are selected through rigorous peer reviews to ensure originality, timeliness, relevance, and readability.
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.
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.
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.
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.
International Journal of Computational Engineering Research(IJCER)ijceronline
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.
International Journal of Computational Engineering Research(IJCER)ijceronline
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 & 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.
Numerical study of mhd boundary layer stagnation point flow and heat transfer...eSAT Publishing House
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
Radiation and Mass Transfer Effects on MHD Natural Convection Flow over an In...IJMER
A numerical solution for the unsteady, natural convective flow of heat and mass transfer along an inclined plate is presented. The dimensionless unsteady, coupled, and non-linear partial differential conservation equations for the boundary layer regime are solved by an efficient, accurate and unconditionally stable finite difference scheme of the Crank-Nicolson type. The velocity, temperature, and concentration fields have been studied for the effect of Magnetic parameter, buoyancy ratio parameter, Prandtl number, radiation parameter and Schmidt number. The local skin-friction, Nusselt number and Sherwood number are also presented and analyzed graphically.
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.
Effect of rotation on the onset of Rayleigh-Bénard convection in a layer of F...IJMER
International Journal of Modern Engineering Research (IJMER) is Peer reviewed, online Journal. It serves as an international archival forum of scholarly research related to engineering and science education.
International Journal of Modern Engineering Research (IJMER) covers all the fields of engineering and science: Electrical Engineering, Mechanical Engineering, Civil Engineering, Chemical Engineering, Computer Engineering, Agricultural Engineering, Aerospace Engineering, Thermodynamics, Structural Engineering, Control Engineering, Robotics, Mechatronics, Fluid Mechanics, Nanotechnology, Simulators, Web-based Learning, Remote Laboratories, Engineering Design Methods, Education Research, Students' Satisfaction and Motivation, Global Projects, and Assessment…. And many more.
Smart TV Buyer Insights Survey 2024 by 91mobiles.pdf91mobiles
91mobiles recently conducted a Smart TV Buyer Insights Survey in which we asked over 3,000 respondents about the TV they own, aspects they look at on a new TV, and their TV buying preferences.
LF Energy Webinar: Electrical Grid Modelling and Simulation Through PowSyBl -...DanBrown980551
Do you want to learn how to model and simulate an electrical network from scratch in under an hour?
Then welcome to this PowSyBl workshop, hosted by Rte, the French Transmission System Operator (TSO)!
During the webinar, you will discover the PowSyBl ecosystem as well as handle and study an electrical network through an interactive Python notebook.
PowSyBl is an open source project hosted by LF Energy, which offers a comprehensive set of features for electrical grid modelling and simulation. Among other advanced features, PowSyBl provides:
- A fully editable and extendable library for grid component modelling;
- Visualization tools to display your network;
- Grid simulation tools, such as power flows, security analyses (with or without remedial actions) and sensitivity analyses;
The framework is mostly written in Java, with a Python binding so that Python developers can access PowSyBl functionalities as well.
What you will learn during the webinar:
- For beginners: discover PowSyBl's functionalities through a quick general presentation and the notebook, without needing any expert coding skills;
- For advanced developers: master the skills to efficiently apply PowSyBl functionalities to your real-world scenarios.
GDG Cloud Southlake #33: Boule & Rebala: Effective AppSec in SDLC using Deplo...James Anderson
Effective Application Security in Software Delivery lifecycle using Deployment Firewall and DBOM
The modern software delivery process (or the CI/CD process) includes many tools, distributed teams, open-source code, and cloud platforms. Constant focus on speed to release software to market, along with the traditional slow and manual security checks has caused gaps in continuous security as an important piece in the software supply chain. Today organizations feel more susceptible to external and internal cyber threats due to the vast attack surface in their applications supply chain and the lack of end-to-end governance and risk management.
The software team must secure its software delivery process to avoid vulnerability and security breaches. This needs to be achieved with existing tool chains and without extensive rework of the delivery processes. This talk will present strategies and techniques for providing visibility into the true risk of the existing vulnerabilities, preventing the introduction of security issues in the software, resolving vulnerabilities in production environments quickly, and capturing the deployment bill of materials (DBOM).
Speakers:
Bob Boule
Robert Boule is a technology enthusiast with PASSION for technology and making things work along with a knack for helping others understand how things work. He comes with around 20 years of solution engineering experience in application security, software continuous delivery, and SaaS platforms. He is known for his dynamic presentations in CI/CD and application security integrated in software delivery lifecycle.
Gopinath Rebala
Gopinath Rebala is the CTO of OpsMx, where he has overall responsibility for the machine learning and data processing architectures for Secure Software Delivery. Gopi also has a strong connection with our customers, leading design and architecture for strategic implementations. Gopi is a frequent speaker and well-known leader in continuous delivery and integrating security into software delivery.
State of ICS and IoT Cyber Threat Landscape Report 2024 previewPrayukth K V
The IoT and OT threat landscape report has been prepared by the Threat Research Team at Sectrio using data from Sectrio, cyber threat intelligence farming facilities spread across over 85 cities around the world. In addition, Sectrio also runs AI-based advanced threat and payload engagement facilities that serve as sinks to attract and engage sophisticated threat actors, and newer malware including new variants and latent threats that are at an earlier stage of development.
The latest edition of the OT/ICS and IoT security Threat Landscape Report 2024 also covers:
State of global ICS asset and network exposure
Sectoral targets and attacks as well as the cost of ransom
Global APT activity, AI usage, actor and tactic profiles, and implications
Rise in volumes of AI-powered cyberattacks
Major cyber events in 2024
Malware and malicious payload trends
Cyberattack types and targets
Vulnerability exploit attempts on CVEs
Attacks on counties – USA
Expansion of bot farms – how, where, and why
In-depth analysis of the cyber threat landscape across North America, South America, Europe, APAC, and the Middle East
Why are attacks on smart factories rising?
Cyber risk predictions
Axis of attacks – Europe
Systemic attacks in the Middle East
Download the full report from here:
https://sectrio.com/resources/ot-threat-landscape-reports/sectrio-releases-ot-ics-and-iot-security-threat-landscape-report-2024/
Slack (or Teams) Automation for Bonterra Impact Management (fka Social Soluti...Jeffrey Haguewood
Sidekick Solutions uses Bonterra Impact Management (fka Social Solutions Apricot) and automation solutions to integrate data for business workflows.
We believe integration and automation are essential to user experience and the promise of efficient work through technology. Automation is the critical ingredient to realizing that full vision. We develop integration products and services for Bonterra Case Management software to support the deployment of automations for a variety of use cases.
This video focuses on the notifications, alerts, and approval requests using Slack for Bonterra Impact Management. The solutions covered in this webinar can also be deployed for Microsoft Teams.
Interested in deploying notification automations for Bonterra Impact Management? Contact us at sales@sidekicksolutionsllc.com to discuss next steps.
DevOps and Testing slides at DASA ConnectKari Kakkonen
My and Rik Marselis slides at 30.5.2024 DASA Connect conference. We discuss about what is testing, then what is agile testing and finally what is Testing in DevOps. Finally we had lovely workshop with the participants trying to find out different ways to think about quality and testing in different parts of the DevOps infinity loop.
UiPath Test Automation using UiPath Test Suite series, part 3DianaGray10
Welcome to UiPath Test Automation using UiPath Test Suite series part 3. In this session, we will cover desktop automation along with UI automation.
Topics covered:
UI automation Introduction,
UI automation Sample
Desktop automation flow
Pradeep Chinnala, Senior Consultant Automation Developer @WonderBotz and UiPath MVP
Deepak Rai, Automation Practice Lead, Boundaryless Group and UiPath MVP
Accelerate your Kubernetes clusters with Varnish CachingThijs Feryn
A presentation about the usage and availability of Varnish on Kubernetes. This talk explores the capabilities of Varnish caching and shows how to use the Varnish Helm chart to deploy it to Kubernetes.
This presentation was delivered at K8SUG Singapore. See https://feryn.eu/presentations/accelerate-your-kubernetes-clusters-with-varnish-caching-k8sug-singapore-28-2024 for more details.
Epistemic Interaction - tuning interfaces to provide information for AI supportAlan Dix
Paper presented at SYNERGY workshop at AVI 2024, Genoa, Italy. 3rd June 2024
https://alandix.com/academic/papers/synergy2024-epistemic/
As machine learning integrates deeper into human-computer interactions, the concept of epistemic interaction emerges, aiming to refine these interactions to enhance system adaptability. This approach encourages minor, intentional adjustments in user behaviour to enrich the data available for system learning. This paper introduces epistemic interaction within the context of human-system communication, illustrating how deliberate interaction design can improve system understanding and adaptation. Through concrete examples, we demonstrate the potential of epistemic interaction to significantly advance human-computer interaction by leveraging intuitive human communication strategies to inform system design and functionality, offering a novel pathway for enriching user-system engagements.
Epistemic Interaction - tuning interfaces to provide information for AI support
A0350300108
1. The International Journal Of Engineering And Science (IJES)
|| Volume || 3 || Issue || 5 || Pages || 01-08 || 2014 ||
ISSN (e): 2319 – 1813 ISSN (p): 2319 – 1805
www.theijes.com The IJES Page 1
Heat Transfer on Unsteady MHD Oscillatory Visco-elastic flow
through a Porous medium in a Rotating parallel plate channel
G.Hari Priya1
R. Bhuvana Vijaya2
R.Siva Prasad3
1
Department of Mathematics, Intell Engg. College, Anantapuramu, A.P.
2
Department of Mathematics, JNTU, Anantapuramu, A.P.
3
Department of Mathematics, Srikrishnadevaraya University, Anantapuramu, A.P.
---------------------------------------------------------ABSTRACT-------------------------------------------------
The combined effect of a transverse magnetic field and radiative heat transfer on unsteady flow of a
conducting optically thin visco-elastic fluid through a rotating parallel channel filled with saturated porous
medium and non-uniform walls temperature has been discussed. It is assumed that the fluid has small electrical
conductivity and the electromagnetic force produced is very small. The analytical solutions are obtained for the
problem making use of perturbation technique. The effects of the radiation and the magnetic field parameters on
velocity profile and shear stress for different values of the visco-elastic parameter with the combination of the
other flow parameters are illustrated graphically, and physical aspects of the problem are discussed
Keywords: Radiation, heat transfer, visco-elastic fluid, Magnetic field, porous medium, rotating parallel plate
channel.
---------------------------------------------------------------------------------------------------------------------------
Date of Submission: 5 May 2014 Date of Publication: 20 May 2014
---------------------------------------------------------------------------------------------------------------------------
I. INTRODUCTION
In recent years, there has been a considerable interest in rotating hydro magnetic fluid flows due to
possible applications to geophysical and astrophysical problems. The magnitude analysis shows that in the
basic field equations, the Coriolis force is very significant as compared to the inertial force. Furthermore, it
reveals that the Coriolis and magneto hydro dynamic forces are of comparable magnitude. It is generally
admitted that a number of astronomical bodies (e.g. the Sun. Earth. Jupiter, Magnetic Stars, pulsars) possess
fluid interiors and (at least surface) magnetic fields. Changes in the rotation rate of such objects suggest the
possible importance of hydro magnetic spin-up. The flow of an electrically conducting fluid has important
applications in many branches of engineering science such as magneto hydro dynamics (MHD) generators,
plasma studies, nuclear reactor, geothermal energy extraction, electromagnetic propulsion, and the boundary
layer control in the field of aerodynamics. In the light of these applications, MHD flow in a channel has been
studied by many authors; some of them are Nigam and Singh [1], Soundalgekar and Bhat [2], Vajravelu [3], and
Attia and Kotb [4]. A survey of MHD studies in the technological fields can be found in Moreau [5]. The flow
of fluids through porous media is an important topic because of the recovery of crude oil from the pores of the
reservoir rocks; in this case, Darcy’s law represents the gross effect. Raptis et al. [6] have analysed the hydro
magnetic free convection flow through a porous medium between two parallel plates. Aldoss et al. [7] have
studied mixed convection flow from a vertical plate embedded in a porous medium in the presence of a
magnetic field. Makinde and Mhone [8] have considered heat transfer to MHD oscillatory flow in a channel
filled with porous medium. Recently the combined effect of a transverse magnetic field and radiative heat
transfer on unsteady flow of a conducting optically thin visco-elastic fluid through a channel filled with
saturated porous medium and non-uniform walls temperature has been discussed by Rita Choudary and Utpal
Jyothi Das [12]. In this study, an attempt has been made to extend the problem studied by Makinde and Mhone
[8] to the case of visco-elastic fluid characterised by second-order fluid. The combined effect of a transverse
magnetic field and radiative heat transfer on unsteady flow of a conducting optically thin visco-elastic fluid
through a rotating parallel channel filled with saturated porous medium and non-uniform walls temperature has
been discussed. It is assumed that the fluid has small electrical conductivity and the electromagnetic force
produced is very small. The analytical solutions are obtained for the problem making use of perturbation
technique.
2. Heat Transfer on Unsteady MHD Oscillatory...
www.theijes.com The IJES Page 2
II. MATHEMATICAL FORMULATION AND SOLUTION OF THE PROBLEM
Consider the flow of a conducting optically thin fluid in a channel filled with saturated porous medium
under the influence of an externally applied homogeneous magnetic field and radiative heat transfer. It is
assumed that the fluid has small electrical conductivity and the electromagnetic force produced is very small.
The x-axis is taken along the centre of the channel, and the z-axis is taken normal to it. In the initial undisturbed
state both the plates and the fluid rotate with the same angular velocity . At 0t , the fluid is driven by a
constant pressure gradient parallel to the channel walls. Then, assuming a Boussinesq incompressible fluid
model, the equations governing the motion are given by
)(
1
2 01
2
0
2
3
22
2
1
TTg
K
uuB
tz
u
z
u
x
p
v
t
u e
(1)
K
vvB
tz
v
z
v
y
p
u
t
v e
1
2
0
2
3
22
2
1
1
2
(2)
z
q
Cz
T
C
k
t
T
pp
1
2
2
1
(3)
Corresponding boundary conditions
W
TTvu ,0,0 on 1z (4)
0
,0,0 TTvu on 0z (5)
Where u is the axial velocity, t is the time, T is the fluid temperature, P is the pressure, g is the gravitational
force, 1
q is the radiative heat flux, is the coefficient of volume expansion due to temperature, p
C is the
specific heat at constant pressure, k is the thermal conductivity,
K is the porous medium permeability co-efficient, )( 00
HB e
is electromagnetic induction, e
is the
magnetic permeability, 0
H is the intensity of the magnetic field, e
is the conductivity of the fluid, is fluid
density, and )2,1(,/ iii
. It is assumed that both walls of temperature w
TT ,0
are high enough to
induce radiative heat transfer. Following Cogley et.al [11], it is assumed that the fluid is optically thin with a
relatively low density and the radiative heat flux is given by
),(4 0
2
1
1
TT
z
q
(6)
Where 1
is the mean radiation absorption co-efficient.
Combining equations (1) and (2) and let ivuq and iyx , we obtain
)(
1
2 01
2
0
2
3
22
2
1
TTg
K
qqB
tz
q
z
qp
qi
t
q e
(7) The
following non-dimensional quantities are introduced:
0
0
1
,,,
,,,,,,
TT
TT
U
ap
p
a
tU
t
U
q
q
U
v
v
U
u
u
a
z
z
aa
y
y
a
x
x
w
Making use of non-dimensional variables, the dimensionless governing equations together with appropriate
boundary conditions (dropping asterisks) are
TGrqSiEM
tz
q
z
qp
t
q
)2(Re
212
2
3
2
2
(8)
2
2
2
R
zt
Pe
(9)
With
3. Heat Transfer on Unsteady MHD Oscillatory...
www.theijes.com The IJES Page 3
1,0 q on 1z (10)
0,0 q on 0z (11)
where
1
Re
Ua
is the Reynolds number,
U
aB
M
e
1
22
02
is the Hartmann number, 2
1
a
U
E
is the Eckmann number
2
a
k
D is the Darcy number (or)
D
S
1
is the porous medium shape factor parameter,
2
2
Re
a
is the visco-elastic parameter,
U
aTTg
Gr
w
1
2
0
)(
is the Grashoff number,
k
CUa
Pe
p
is Peclet parameter and
k
a
R
22
12 4
is the Radiation parameter.
solving the equations (2.8) and (2.9) for purely oscillatory flow, Let
tititi
eztzezqtzqe
x
P
)(),(,)(),(, 00
(12)
where, is constant and is the frequency of oscillation.
Substituting the above expressions (12) into the equations (8) and (9), and making use of the corresponding
boundary conditions (10) and (11), we obtain
00
2
12
0
2
)1( Grqm
z
qd
i
(13)
00
2
22
0
2
m
z
d
(14)
subjected to the boundary conditions
1,0 00
q on 1z (15)
0,0 00
q on 0z (16)
where Re2
212
1
iSiEMm
and PeiRm
2
2
Equations (13) and (14) are solved; we obtained the solution for the fluid velocity and temperature as follows
tibzmbzm
e
mmbm
zmGr
m
e
m
aeatzq
)sin()(
)sin(
),(
2
2
1
2
2
2
2
1
/)(
2
1
1
/)(
1
11
(17)
ti
e
m
zm
tz
)sin(
)sin(
),(
2
2
(18)
where
bmbm
bm
ee
mbm
Gr
m
e
m
a //
2
1
2
2
2
1
/
2
1
1
11
1
)(
, ib 1
4. Heat Transfer on Unsteady MHD Oscillatory...
www.theijes.com The IJES Page 4
The non-dimensional shear stress at the wall 0z is given by
0
2
1
/
z
tz
u
z
u
aU
ti
ei
mmbm
Gr
m
a
b
ma
)1(
)sin()( 2
2
1
2
2
2
1
1
11
(19)
The rate of heat transfer across the channel wall 1z is given as
ti
z
e
m
mm
z
Nu
)sin(
)cos(
2
22
1
(20)
III. RESULTS AND DISCUSSION:
The flow governed by the non dimensional parameters, Re is the Reynolds number,
2
M is the
Hartmann number, E Eckmann number, D is the Darcy number (or) S is the porous medium shape factor
parameter, is the visco-elastic parameter, R is the Radiation parameter with fixed values of Gr the
Grashoff number, Pe Peclet parameter. We have considered the real and imaginary parts of the results u and v
throughout for numerical validation. The velocity profiles for the components against z is plotted in Figures 1–
12 while figure 13-18 to observe temperature profiles on the visco-elastic effects and other parameters for
various sets of values of Hartmann number H, porous parameter S and radiation parameter R, with fixed values
of other flow parameters, namely, Pe = 2, t = 0.1, Gr = 2, λ = 1, and ω = 1.
It is evident from Figures (1–12) that the velocity profiles is parabolic in nature, and the magnitude of
velocity u and v increase with the increasing values of the Reynolds number Re, Porous parameter S, the visco-
elastic parameter | | , Radiation parameter R and (Figure 1, 2, 5-12). It is also noted from the figures (3-4)
that the magnitude of the velocity component u experiences retardation and the behaviours of the velocity
component v remains the same with the increasing values of the Hartmann number. We observe that lower the
permeability of the porous medium lesser the fluid speed in the entire fluid region. The resultant velocity q
enhances with increasing the parameters Re, D, , R and experiences retardation with increasing the intensity of
the magnetic field. It is evident that the temperature profiles exhibit the nature of the flow on governing
parameters. The magnitude of the temperature increases with increasing Re, D, , R, E and experiences
retardation with increasing the magnetic field parameter (Hartmann number M) (Figures 13-18).
The shear stress on the wall and the rate of heat transfer evaluated analytically and computationally
discussed with reference to governing parameters (Tables 1-2). It is evident that the shear stress enhances with
increasing Re, M and and reduces with increasing S. We also noted that it is increases firstly and then
decreases with the increasing values of radiation parameter R. Table. 2 depict that the Nusselt number (Nu)
increases with the increasing values of the visco-elastic parameter | | and the magnitude of the heat transfer
increases with increasing Re, S, , R, E retardation with increasing the magnetic field parameter. It has also
been observed that the temperature field is not significantly affected by the visco-elastic parameter.
Fig. 1 The velocity profile for u on Reynolds number
Re
with
5.1,01.0,1.0,1,2 RESM
Fig. 2: The velocity profile for v on Reynolds number
Re with
5.1,01.0,1.0,1,2 RESM
5. Heat Transfer on Unsteady MHD Oscillatory...
www.theijes.com The IJES Page 5
Fig. 3: The velocity profile for u on Hartmann number
M with
5.1,01.0,1.0,1,50Re RES
Fig. 4: The velocity profile for v on Hartmann number
M with
5.1,01.0,1.0,1,50Re RES
Fig. 5: The velocity profile for u on Porous parameter
S with
5.1,01.0,1.0,2,50Re REM
Fig. 6: The velocity profile for v on Porous parameter
S with
5.1,01.0,1.0,2,50Re REM
Fig. 7: The velocity profile for u on visco-elastic
parameter with
5.1,01.0,1,2,50Re RESM
Fig. 8: The velocity profile for v on visco-elastic
parameter with
5.1,01.0,1,2,50Re RESM
Fig. 09: The velocity profile for u on Radiation
parameter R with
1.0,01.0,1,2,50Re ESM
Fig. 10: The velocity profile for v on Radiation
parameter R with
01.0,1.0,1,2,50Re ESM
6. Heat Transfer on Unsteady MHD Oscillatory...
www.theijes.com The IJES Page 6
Fig. 11: The velocity profile for u on Eckmann number
E with
1.0,5.1,01.0,1,2,50Re RESM
Fig. 12: The velocity profile for v on Eckmann
number E with
1.0,5.1,01.0,1,2,50Re RESM
Fig. 13: The temperature profile for on Reynolds
number Re with
5.1,01.0,1.0,1,2 RESM
Fig. 14: The temperature profile for on Hartmann
number M with
5.1,01.0,1.0,1,50Re RES
Fig. 15: The temperature profile for on Porous
parameter S with
5.1,01.0,1.0,2,50Re REM
Fig. 16: The temperature profile for on visco-
elastic parameter
with
5.1,01.0,1,2,50Re RESM
7. Heat Transfer on Unsteady MHD Oscillatory...
www.theijes.com The IJES Page 7
Fig. 17: The temperature profile for on Radiation
parameter R with
01.0,1.0,1,2,50Re ESM
Fig. 18: The temperature profile for on Eckmann
number E with
5.1,01.0,1.0,1,2,50Re RESM
Re I II III IV V VI VII VIII IX X XI
50 0.0245 1.8554 3.8809 0.0126 0.0052 0.0546 0.0785 0.0854 0.0569 0.1055 0.2551
100 0.1446 2.8847 5.8824 0.1222 0.0145 0.1545 0.1884 0.1885 0.1254 0.2526 0.5887
150 0.2114 5.9968 8.1055 0.1884 0.1225 0.2405 0.2887 0.2995 0.2254 0.5855 0.7886
200 0.2889 9.5548 12.658 0.2254 0.1889 0.2998 0.3225 0.3825 0.2996 0.6335 0.8888
I II III IV V VI VII VIII IX X XI
M 2 5 8 2 2 2 2 2 2 2 2
S 1 1 1 2 3 1 1 1 1 1 1
-0.1 -0.1 -0.1 -0.1 -0.1 -0.2 -0.3 -0.1 -0.1 -0.1 -0.1
R 1.5 1.5 1.5 1.5 1.5 1.5 1.5 2.5 3.5 1.5 1.5
E 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.02 0.03
Table.1 The shear stresses ( ) at the wall 0z
Re I II III IV V VI VII VIII IX X XI
50 1.2552 0.9885 0.6585 2.3314 3.9985 2.8845 3.1145 2.0147 3.0054 1.8225 1.9969
100 2.0458 1.5665 1.1125 3.2214 4.2256 3.2251 4.6556 3.1022 4.0552 2.2258 2.5566
150 2.9985 2.4458 1.8447 3.9985 6.5582 4.8859 5.9985 3.5229 4.8002 3.2556 2.2985
200 3.6687 3.1205 2.7195 4.8556 7.5222 5.6648 6.7808 4.2245 5.1566 3.8853 4.1205
I II III IV V VI VII VIII IX X XI
M 2 5 8 2 2 2 2 2 2 2 2
S 1 1 1 2 3 1 1 1 1 1 1
-0.1 -0.1 -0.1 -0.1 -0.1 -0.2 -0.3 -0.1 -0.1 -0.1 -0.1
R 1.5 1.5 1.5 1.5 1.5 1.5 1.5 2.5 3.5 1.5 1.5
E 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.02 0.03
Table.2 The Rate of heat transfer (Nusselt number) at the wall 1z
IV. CONCLUSIONS:
1. The magnitude of velocity u and v increase with the increasing values of the Reynolds number Re,
Porous parameter S, the visco-elastic parameter , Radiation parameter R and Eckmann number E.
2. The magnitude of the velocity component u experiences retardation and the behaviours of the velocity
component v remains the same with the increasing values of the Hartmann number.
3. Lower the permeability of the porous medium lesser the fluid speed in the entire fluid region.
4. The resultant velocity q enhances with increasing the parameters Re, D, , R, E and experiences
retardation with increasing the intensity of the magnetic field.
5. The magnitude of the temperature increases with increasing Re, D, , R, E and experiences retardation
with increasing the magnetic field parameter (Hartmann number M)
6. The shear stress enhances with increasing Re, M and and reduces with increasing S. We also noted
that it is increases firstly and then decreases with the increasing values of radiation parameter R.
7. The Nusselt number increases with the increasing values of the visco-elastic parameter | | and the
magnitude of the heat transfer increases with increasing Re, S, R, E retardation with increasing the
magnetic field parameter M.
8. Heat Transfer on Unsteady MHD Oscillatory...
www.theijes.com The IJES Page 8
REFERENCES
[1]. S. D. Nigam and S. N. Singh, “Heat transfer by laminar flow between parallel plates under the action of transverse magnetic
field,” Quarterly Journal of Mechanics and Applied Mathematics, vol. 13, no. 1, pp. 85–97, 1960.
[2]. V. M. Soundalgekar and J. P. Bhat, “Oscillatory MHD channel flow and heat transfer,” International Journal of Pure & Applied
Mathematical, vol. 15, pp. 819–828, 1971.
[3]. K. Vajravelu, “Exact periodic solution of a hydro magnetic flow in a horizontal channel,” Journal of Applied Mechanics, vol. 55,
no. 4, pp. 981–983, 1988.
[4]. H. A. Attia and N. A. Kotb, “MHD flow between two parallel plates with heat transfer,” Acta Mechanica, vol. 117, pp. 215–220,
1996.
[5]. R. Moreau, Magnetohydrodynamics, Kluwar Academic, Dordrecht, The Netherlands, 1990.
[6]. A. Raptis, C. Massalas, and G. Tzivanidis, “Hydro magnetic free convection flow through a porous medium between two parallel
plates,” Physics Letters A, vol. 90, no. 6, pp. 288–289, 1982.
[7]. T. K. Aldoss, M. A. Al-Nimr, M. A. Jarrah, and B. Al-Shaer, “Magneto hydro dynamic mixed convection from a vertical plate
embedded in a porous medium,” Numerical Heat Transfer A, vol. 28, no. 5, pp. 635–645, 1995.
[8]. O. D. Makinde and P. Y. Mhone, “Heat transfer to MHD oscillatory flow in a channel filled with porous medium,” Romanian
Journal of Physics, vol. 50, pp. 931–938, 2005.
[9]. H. Markovitz and B. D. Coleman, “Incompressible second order fluids,” Advances in Applied Mechanics, vol. 8, pp. 69–101,
1964.
[10]. B. D. Coleman and W. Noll, “An approximation theorem for functionals, with applications in continuum mechanics,” Archive for
Rational Mechanics and Analysis, vol. 6, no. 1, pp. 355–370, 1960.
[11]. A. C. L. Cogley, W. G. Vinvent, and E. S. Giles, “Differential approximation for radiative heat transfer in non-linear equations-
grey gas near equilibrium,” American Institute of Aeronautics and Astronautics, vol. 6, pp. 551–553, 1968.
[12]. Rita Choudary and Utpal Jyothi Das, “Heat transfer to MHD Oscillatory visco-elastic flow in a channel filled with porous
medium,” Physics Research International, Volume 10, p. 1155, 2012.