Abstract
A Finite Volume Method have been performed in simulation of creeping flow around a circular cylinder contained between plates. By adopting the SIMPLE algorithm the governing equations are solved together with Papanastasious regularization. Apparent viscosity is calculated on each iteration by using forward difference operation. Yield surfaces are studied over the range of Oldroyd number 10≤Od≤〖10〗^4. The model results are found to be in good agreement with obtained results of the other method.
Keywords: Creeping flow, Finite Volume Method, Yielded and unyielded zone, Bingham number.
Fixity depth of offshore piles in elastoplastic soft clay under dynamic loadeSAT Journals
Abstract
This work represents study of dynamic behavior of offshore piles embedded in elastoplastic soft clay, and estimating the fixity depth of pile. ABAQUS finite element program which used to simulate the problem. The soil was modeled in two case elastic state model and elastoplastic state model represented by cam-clay model, three dimension element used to represent the interaction between pile and soil, and laboratory tests used to getting the real properties of clayey soil and to descried interface. The results obtained developed two empirical equations used to calculate depth of pile fixity for pile embedded in elastic and elastoplastic soil respectively. Also, show the depth of pile fixity is increase about (40 %) due to change soil model from elastic to plastic, when pile embedded in elastoplastic soil its dependent on soil strength, interface properties and pile rigidity. The pile head displacement is increase about 90 % while the bending moment is decease 10 % at pile head.
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.
Numerical study of natural convection in an enclosed square cavity using cons...eSAT Journals
Abstract In the present study, Constrained Interpolated Profile (CIP) method was used to simulate the natural convection heat transfer and fluid flow in an enclosed square cavity with differentially heated side walls. The fundamental idea of this method is to solve the advection phase equation with CIP method and the non-advection phase equation is calculated with finite difference method. CIPNSE is applied to predict the temperature and velocity profiles in a square cavity for various Rayleigh number: Ra=103, 104 and 105. The streamline and isotherms obtained under these conditions were then compared with those published in literature and found a good agreement. Keywords: Constrained Interpolated Profile (CIP), Finite Difference Method (FDM) and Lattice Boltzmann Method (LBM), Natural Convection, Square Cavity, Stream-Function Vorticity
Analytic Analysis for Oil Recovery During Cocurrent Imbibition in Inclined Ho...rahulmonikasharma
This paper focuses on the analysis of cocurrent imbibition phenomenon which occurs during secondary oil recovery process.In cocurrent imbibition, a strongly wetting phase(water) displaces a non-wetting phase(oil) spontaneously under the influence of capillary forces such that the oil moves in the same direction to the water. We use an optimal homotopy analysis method to derive an approximate analytical expression for saturation of water when the viscosity of the non-wetting phase is non-negligible.
Numerical simulation of marangoni driven boundary layer flow over a flat plat...eSAT Journals
Abstract
A numerical algorithm is presented for studying Marangoni convection flow over a flat plate with an imposed temperature
distribution. Plate temperature varies with x in the following prescribed manner: where A and k are constants.
By means of similarity transformation, the original nonlinear partial differential equations of flow are transformed to a pair of
nonlinear ordinary differential equations. Subsequently they are reduced to a first order system and integrated using Newton
Raphson and adaptive Runge-Kutta methods. The computer codes are developed for this numerical analysis in Matlab
environment. Velocity profiles for various values of k, and temperature profiles for various Prandtl number and k are illustrated
graphically. The results of the present simulation are then compared with the previous works available in literature with good
agreement.
Keywords: Matlab, Marangoni Convection, Numerical Simulation, Surface Tension, Flat Plate.
Couette type mhd flow with suction and injection under constant pressure grad...eSAT Journals
Abstract The unsteady magnetohydrodynamic Couette-type flow of an electrically conducting, viscous and incompressible fluid bounded by two parallel non- conducting porous plates under the influence of a constant pressure gradient and a transversely applied uniform magnetic field is studied with heat transfer. A uniform suction on the upper plate and an injection on the lower plate are applied perpendicularly to the plates keeping the rates of suction and injection the same. The two plates are maintained at different but constant temperatures. The governing nonlinear partial differential equations are solved by both analytical as well as numerical methods. An exact solution for the velocity of the fluid has been obtained by Laplace transform method. The Crank-Nicholson implicit method is used to obtain the unsteady fluid velocity profile. The transient part of the fluid velocity tends to zero as the time t tends to infinity. The energy equation is solved by the finite difference method .The effect of the magnetic field coupled with suction and injection on the velocity and temperature distributions is examined graphically and discussed in the present work. Keywords: Magnetohydrodynamics, Transverse magnetic field, Suction and injection, Constant pressure gradient, Transient state flow, Crank-Nicholson implicit method, Finite difference method.
The convergence and accuracy of the Dynamic
Relaxation (DR) solutions for elastic large deflection
response of isotropic, orthotropic, and laminated plates
are established by comparison with various exact and
approximate solutions. The present Dynamic
Relaxation method (DR) coupled with finite differences
method shows a fairly good agreement with other
analytical and numerical methods used in the verification
scheme.
It was found that: The convergence and accuracy of the
DR solution is dependent on several factors including
boundary conditions, mesh size and type, fictitious
densities, damping coefficients, time increment and
applied load. Also, the DR large deflection program
using uniform finite differences meshes can be
employed in the analysis of different thicknesses for
isotropic, orthotropic or laminated plates under uniform
loads. All the comparison results for simply supported
(SS4) edge conditions showed that deflection is almost
dependent on the direction of the applied load or the
arrangement of the layers.
Fixity depth of offshore piles in elastoplastic soft clay under dynamic loadeSAT Journals
Abstract
This work represents study of dynamic behavior of offshore piles embedded in elastoplastic soft clay, and estimating the fixity depth of pile. ABAQUS finite element program which used to simulate the problem. The soil was modeled in two case elastic state model and elastoplastic state model represented by cam-clay model, three dimension element used to represent the interaction between pile and soil, and laboratory tests used to getting the real properties of clayey soil and to descried interface. The results obtained developed two empirical equations used to calculate depth of pile fixity for pile embedded in elastic and elastoplastic soil respectively. Also, show the depth of pile fixity is increase about (40 %) due to change soil model from elastic to plastic, when pile embedded in elastoplastic soil its dependent on soil strength, interface properties and pile rigidity. The pile head displacement is increase about 90 % while the bending moment is decease 10 % at pile head.
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.
Numerical study of natural convection in an enclosed square cavity using cons...eSAT Journals
Abstract In the present study, Constrained Interpolated Profile (CIP) method was used to simulate the natural convection heat transfer and fluid flow in an enclosed square cavity with differentially heated side walls. The fundamental idea of this method is to solve the advection phase equation with CIP method and the non-advection phase equation is calculated with finite difference method. CIPNSE is applied to predict the temperature and velocity profiles in a square cavity for various Rayleigh number: Ra=103, 104 and 105. The streamline and isotherms obtained under these conditions were then compared with those published in literature and found a good agreement. Keywords: Constrained Interpolated Profile (CIP), Finite Difference Method (FDM) and Lattice Boltzmann Method (LBM), Natural Convection, Square Cavity, Stream-Function Vorticity
Analytic Analysis for Oil Recovery During Cocurrent Imbibition in Inclined Ho...rahulmonikasharma
This paper focuses on the analysis of cocurrent imbibition phenomenon which occurs during secondary oil recovery process.In cocurrent imbibition, a strongly wetting phase(water) displaces a non-wetting phase(oil) spontaneously under the influence of capillary forces such that the oil moves in the same direction to the water. We use an optimal homotopy analysis method to derive an approximate analytical expression for saturation of water when the viscosity of the non-wetting phase is non-negligible.
Numerical simulation of marangoni driven boundary layer flow over a flat plat...eSAT Journals
Abstract
A numerical algorithm is presented for studying Marangoni convection flow over a flat plate with an imposed temperature
distribution. Plate temperature varies with x in the following prescribed manner: where A and k are constants.
By means of similarity transformation, the original nonlinear partial differential equations of flow are transformed to a pair of
nonlinear ordinary differential equations. Subsequently they are reduced to a first order system and integrated using Newton
Raphson and adaptive Runge-Kutta methods. The computer codes are developed for this numerical analysis in Matlab
environment. Velocity profiles for various values of k, and temperature profiles for various Prandtl number and k are illustrated
graphically. The results of the present simulation are then compared with the previous works available in literature with good
agreement.
Keywords: Matlab, Marangoni Convection, Numerical Simulation, Surface Tension, Flat Plate.
Couette type mhd flow with suction and injection under constant pressure grad...eSAT Journals
Abstract The unsteady magnetohydrodynamic Couette-type flow of an electrically conducting, viscous and incompressible fluid bounded by two parallel non- conducting porous plates under the influence of a constant pressure gradient and a transversely applied uniform magnetic field is studied with heat transfer. A uniform suction on the upper plate and an injection on the lower plate are applied perpendicularly to the plates keeping the rates of suction and injection the same. The two plates are maintained at different but constant temperatures. The governing nonlinear partial differential equations are solved by both analytical as well as numerical methods. An exact solution for the velocity of the fluid has been obtained by Laplace transform method. The Crank-Nicholson implicit method is used to obtain the unsteady fluid velocity profile. The transient part of the fluid velocity tends to zero as the time t tends to infinity. The energy equation is solved by the finite difference method .The effect of the magnetic field coupled with suction and injection on the velocity and temperature distributions is examined graphically and discussed in the present work. Keywords: Magnetohydrodynamics, Transverse magnetic field, Suction and injection, Constant pressure gradient, Transient state flow, Crank-Nicholson implicit method, Finite difference method.
The convergence and accuracy of the Dynamic
Relaxation (DR) solutions for elastic large deflection
response of isotropic, orthotropic, and laminated plates
are established by comparison with various exact and
approximate solutions. The present Dynamic
Relaxation method (DR) coupled with finite differences
method shows a fairly good agreement with other
analytical and numerical methods used in the verification
scheme.
It was found that: The convergence and accuracy of the
DR solution is dependent on several factors including
boundary conditions, mesh size and type, fictitious
densities, damping coefficients, time increment and
applied load. Also, the DR large deflection program
using uniform finite differences meshes can be
employed in the analysis of different thicknesses for
isotropic, orthotropic or laminated plates under uniform
loads. All the comparison results for simply supported
(SS4) edge conditions showed that deflection is almost
dependent on the direction of the applied load or the
arrangement of the layers.
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
Method of Fracture Surface Matching Based on Mathematical StatisticsIJRESJOURNAL
ABSTRACT: Fracture surface matching is an important part of point cloud registration. In this paper, a method of fracture surface matching based on mathematical statistics is proposed. We reconstruct a coordinate system of the fractured surface points, and analyze the characteristics of the point cloud in the new coordinate system, using the theory of mathematical statistcs. The general distribution of the points is determined. The method can realize the matching relation among some point cloud.
analysis of unsteady squeezing flow between two porous plates with variable m...IJAEMSJORNAL
Analysis will be made for the non-isothermal Newtonian fuid flow between two unsteady squeezing porous plates under the infuence of variable magnetic feld. The similarity transformations will be used to transform the partial differential equations into nonlinear coupled ordinary differential equations. The modeled nonlinear differential equations representing the flow behavior in the geometry under consideration will be investigated using analytical and numerical method. Comparison of the solutions will be made. Convergence of solution will also be discussed. Flow behavior under the infuence of non-dimensional parameters will be discussed with the help of graphical aids.
Non-NewtonianFluid Flow and Heat Transfer over a Non- Linearly Stretching Sur...IJERA Editor
This paper investigates the MHD flow and heat transfer of an electrically conducting non-newtonian power-law
fluid over a non-linearly stretching surface along with porous plate in porous medium. The governing equations
are reduced to non-linear ordinary differential equations by means of similarity transformations. These
equations are then solved numerically with the help ofRunge – Kutta shooting method. The effect of various
flow parameters in the form of dimensionless quantities on the flow field are discussed and presented
graphically.
Simulation of pressure drop for combined tapered and nontapered die for polyp...IOSR Journals
Abstract: the pressure drop in combined sections tapered and circular for the flow of polypropylene were
studied both analytical and simulation under isothermal and no-slip condition in the die wall. The predicted
pressure drop values are compared with three-dimensional (3D) finite element simulation to identify effect of
contraction angles, die land and radius on pressure drop. The governing equation of pressure drop was first
derived to angle of tapered section, for circular section the pressure drop was studied using different die lands
and radii .The three parameters were varied in the ansys Polyflow at specified polymer flow rate and the results
are compared with analytical results .For the tapered section the best angle is analytically and for
the simulation. For circular section of the die the results for die lands variations are almost the same but when
varying the varying the radius the results differ at radii less than 2 cm and approach each other at 2 cm and
above. Index Terms: Tapered die, circular section, pressure drop, Polyflow.
Empirical relation to estimate the reduction of root fillet stress in spur ge...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
IJERA (International journal of Engineering Research and Applications) is International online, ... peer reviewed journal. For more detail or submit your article, please visit www.ijera.com
Area and volume_Surveying, Civil EngineeringA Makwana
One of the primary objects of land surveying is to determine the area of the surveyed land and to determine the quantities of earthwork.
The computation of area is very essential to determine the catchment area of river, dam and reservoir. Its also important for planning and management of any engineering project.
Basian-Markovian Principle in Fitting of Linear Curvetheijes
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.
A New Method for Solving Transportation Problems Considering Average PenaltyIOSRJM
Vogel’s Approximation Method (VAM) is one of the conventional methods that gives better Initial Basic Feasible Solution (IBFS) of a Transportation Problem (TP). This method considers the row penalty and column penalty of a Transportation Table (TT) which are the differences between the lowest and next lowest cost of each row and each column of the TT respectively. In a little bit different way, the current method consider the Average Row Penalty (ARP) and Average Column Penalty (ACP) which are the averages of the differences of cell values of each row and each column respectively from the lowest cell value of the corresponding row and column of the TT. Allocations of costs are started in the cell along the row or column which has the highest ARP or ACP. These cells are called basic cells. The details of the developed algorithm with some numerical illustrations are discussed in this article to show that it gives better solution than VAM and some other familiar methods in some cases.
Comparision of flow analysis through a different geometry of flowmeters using...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.
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
ANALYTICAL BENDING ANALYSIS OF A CIRCULAR SANDWICH PLATE UNDER DISTRIBUTED LOADijmech
In this paper, bending analysis of a circular sandwich plate under distributed load with simply supported and clamped boundary conditions is investigated. First, the governing equations of the circular sandwich plate are obtained and they are solved using the Bessel functions. Then in order to validate the correctness of analytical results, numerical finite element method is used and its results are presented in the forms of
contours and graphs. The results indicate that under distributed load, maximum deflection happens at 0.3
of outside radius, away from centre, and minimum deflection occurs at the outer edge of the circular sandwich plate. The results from analytical and numerical methods are compared and it shows that analytical method provides an acceptable accuracy.
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
Method of Fracture Surface Matching Based on Mathematical StatisticsIJRESJOURNAL
ABSTRACT: Fracture surface matching is an important part of point cloud registration. In this paper, a method of fracture surface matching based on mathematical statistics is proposed. We reconstruct a coordinate system of the fractured surface points, and analyze the characteristics of the point cloud in the new coordinate system, using the theory of mathematical statistcs. The general distribution of the points is determined. The method can realize the matching relation among some point cloud.
analysis of unsteady squeezing flow between two porous plates with variable m...IJAEMSJORNAL
Analysis will be made for the non-isothermal Newtonian fuid flow between two unsteady squeezing porous plates under the infuence of variable magnetic feld. The similarity transformations will be used to transform the partial differential equations into nonlinear coupled ordinary differential equations. The modeled nonlinear differential equations representing the flow behavior in the geometry under consideration will be investigated using analytical and numerical method. Comparison of the solutions will be made. Convergence of solution will also be discussed. Flow behavior under the infuence of non-dimensional parameters will be discussed with the help of graphical aids.
Non-NewtonianFluid Flow and Heat Transfer over a Non- Linearly Stretching Sur...IJERA Editor
This paper investigates the MHD flow and heat transfer of an electrically conducting non-newtonian power-law
fluid over a non-linearly stretching surface along with porous plate in porous medium. The governing equations
are reduced to non-linear ordinary differential equations by means of similarity transformations. These
equations are then solved numerically with the help ofRunge – Kutta shooting method. The effect of various
flow parameters in the form of dimensionless quantities on the flow field are discussed and presented
graphically.
Simulation of pressure drop for combined tapered and nontapered die for polyp...IOSR Journals
Abstract: the pressure drop in combined sections tapered and circular for the flow of polypropylene were
studied both analytical and simulation under isothermal and no-slip condition in the die wall. The predicted
pressure drop values are compared with three-dimensional (3D) finite element simulation to identify effect of
contraction angles, die land and radius on pressure drop. The governing equation of pressure drop was first
derived to angle of tapered section, for circular section the pressure drop was studied using different die lands
and radii .The three parameters were varied in the ansys Polyflow at specified polymer flow rate and the results
are compared with analytical results .For the tapered section the best angle is analytically and for
the simulation. For circular section of the die the results for die lands variations are almost the same but when
varying the varying the radius the results differ at radii less than 2 cm and approach each other at 2 cm and
above. Index Terms: Tapered die, circular section, pressure drop, Polyflow.
Empirical relation to estimate the reduction of root fillet stress in spur ge...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
IJERA (International journal of Engineering Research and Applications) is International online, ... peer reviewed journal. For more detail or submit your article, please visit www.ijera.com
Area and volume_Surveying, Civil EngineeringA Makwana
One of the primary objects of land surveying is to determine the area of the surveyed land and to determine the quantities of earthwork.
The computation of area is very essential to determine the catchment area of river, dam and reservoir. Its also important for planning and management of any engineering project.
Basian-Markovian Principle in Fitting of Linear Curvetheijes
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.
A New Method for Solving Transportation Problems Considering Average PenaltyIOSRJM
Vogel’s Approximation Method (VAM) is one of the conventional methods that gives better Initial Basic Feasible Solution (IBFS) of a Transportation Problem (TP). This method considers the row penalty and column penalty of a Transportation Table (TT) which are the differences between the lowest and next lowest cost of each row and each column of the TT respectively. In a little bit different way, the current method consider the Average Row Penalty (ARP) and Average Column Penalty (ACP) which are the averages of the differences of cell values of each row and each column respectively from the lowest cell value of the corresponding row and column of the TT. Allocations of costs are started in the cell along the row or column which has the highest ARP or ACP. These cells are called basic cells. The details of the developed algorithm with some numerical illustrations are discussed in this article to show that it gives better solution than VAM and some other familiar methods in some cases.
Comparision of flow analysis through a different geometry of flowmeters using...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.
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
ANALYTICAL BENDING ANALYSIS OF A CIRCULAR SANDWICH PLATE UNDER DISTRIBUTED LOADijmech
In this paper, bending analysis of a circular sandwich plate under distributed load with simply supported and clamped boundary conditions is investigated. First, the governing equations of the circular sandwich plate are obtained and they are solved using the Bessel functions. Then in order to validate the correctness of analytical results, numerical finite element method is used and its results are presented in the forms of
contours and graphs. The results indicate that under distributed load, maximum deflection happens at 0.3
of outside radius, away from centre, and minimum deflection occurs at the outer edge of the circular sandwich plate. The results from analytical and numerical methods are compared and it shows that analytical method provides an acceptable accuracy.
Numerical Calculation of Solid-Liquid two-Phase Flow Inside a Small Sewage Pumptheijes
Based on a mixture multiphase flow model,theRNG k–εturbulencemodelandfrozen rotor method were used to perform a numerical simulation of steady flow in the internal flow field of a sewage pump that transports solid and liquid phase flows. Resultsof the study indicate that the degree of wear on the front and the back of the blade suction surface from different densities of solid particles shows a completely opposite influencing trend. With the increase of delivered solid-phase density, the isobaric equilibrium position moves to the leading edge point of the blade, but the solid-phase isoconcentration point on the blade pressure surface and suction surface basically remains unchanged. The difference between hydraulic lift and water lift indelivering solid- and liquid-phase flows shows a rising trend with the increase of working flow
Numerical Analysis of Rotating Mixing of Fluids in Container Induced by Contr...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.
CFD and EXPERIMENTAL ANALYSIS of VORTEX SHEDDING BEHIND D-SHAPED CYLINDERAM Publications
The flow around bluff bodies is an area of great research of scientists for several years. Vortex shedding is
one of the most challenging phenomenon in turbulent flows. This phenomenon was first studied by Strouhal. Many
researchers have modeled the various objects as cylinders with different cross-sections among which square and
circular cylinders were the most interested sections to study the vortex shedding phenomenon. The Vortex Shedding
frequency depends on different aspects of the flow field such as the end conditions, blockage ratio of the flow passage,
and width to height ratio. This case studies the wave development behind a D-Shaped cylinder, at different Reynolds
numbers, for which we expect a vortex street in the wake of the D-Shaped cylinder, the well known as von Kármán
Street. This body typically serves some vital operational function in aerodynamic. In circular cylinder flow separation
point changes with Reynolds number but in D-Shaped cylinder there is fix flow separation point. So there is more
wake steadiness in D-Shaped cylinder as compared to Circular cylinder and drag reduction because of wake
steadiness.In the present work CFD simulation is carried out for flow past a D-Shaped cylinder to see the wake
behavior. The Reynolds number regime currently studied corresponds to low Reynolds number, laminar and
nominally two-dimensional wake. The fluid domain is a two-dimensional plane with a D-Shaped cylinder of
dimensions B=90mm, H=80mm and L=200mm. CFD calculations of the 2-D flow past the D-Shaped cylinder are
presented and results are validated by comparing with Experimental results of pressure distribution on cylinder
surface. The experimentation is carried out using small open type wind tunnel. The flow visualization is done by
smoke visualization technique. Results are presented for various B/H ratios and Reynolds numbers. The variation of
Strouhal number with Reynolds number is found from the analysis. The focus of the present research is on reducing
the wake unsteadiness.
An Analytical Method for Static Earth Pressure Distribution against Rectangul...IJERA Editor
Analytical methods for computing the lateral earth pressure against tunnel is vastly used by engineers all over the
world. Conventional analytical methods compute the lateral pressure in either active or passive state while the
stress state usually falls between these two boundaries in many practical cases. Furthermore, using these
boundary coefficients lead to either overestimated or underestimated results in design. Thus, a modified method
based on the strain increment theory for calculating the lateral pressure against rectangular tunnels is presented
herein to consider the amount of lateral deformation at each depth. First, the results for different values of
overburden depth, friction angle and wall mobilized angle are investigated. Then comparative finite element
analyses were performed to examine the effectiveness of the method. According to this study, the pressure
pattern is completely nonlinear especially at the corners of tunnel lining. In fact, the pressure increases
nonlinearly to about three times of the value at top. Lateral earth pressure decreases with the increase of friction
angle which is in good agreement with finite element results. Overall, the pressure patterns derived by this
method for shallow depths (less than tunnel height) are almost the same as those computed by finite element
method.
Comparative study of supersonic nozzleseSAT Journals
Abstract
In this experiment, comparative flow analysis of two different nozzles has been performed. The analysis has been performed according to the shape of the nozzles by keeping the same input parameters. The experiment has been carried out in two preliminary steps. First one includes modeling and CFD analysis and the later part is about comparing their different properties. For this analysis, two dimensional axisymmetric nozzle geometries were drawn in Solid Works and CFD analysis is done using Fluent. The basic difference between these two nozzle geometries is their outlet divergence angle, whereas the inlet cross-sectional area, throat cross-sectional area and nozzle length are exactly same. These two nozzle geometries were drawn having outlet divergence angle 10° and 20° respectively. Velocity, pressure and temperature distribution on both nozzles have been studied to take the final decision. From analysis, it is clearly observed that the nozzle having outlet divergence angle 20° gives higher exit velocity with Mach number of 5.62 whereas the nozzle with outlet divergence angle 10° gives an exit velocity with Mach number of 4.31. Besides, lower temperature distribution and lower pressure distribution were observed in the nozzle with outlet divergence angle 20° throughout the expansion zone and nozzle with outlet divergence angle 10° exhibits higher temperature and pressure throughout the expansion zone. As the nozzle with divergence angle 20° gives higher exit velocity, it is the better one between these two nozzles.
Keywords: Convergent-divergent nozzle, CFD, ANSYS Fluent, Outlet divergence angle, SolidWorks.
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.
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 TechnologyIJRET : 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
Comparison of flow analysis of a sudden and gradual change of pipe diameter u...eSAT Journals
Abstract This paper describes an analytical approach to describe the areas where Pipes (used for flow of fluids) are mostly susceptible to damage and tries to visualize the flow behaviour in various geometric conditions of a pipe. Fluent software was used to plot the characteristics of the flow and gambit software was used to design the 2D model. Two phase Computational fluid dynamics calculations, using K-epsilon model were employed. This simulation gives the values of pressure and velocity contours at various sections of the pipe in which water as a media. A comparison was made with the sudden and gradual change of pipe diameter (i.e., expansion and contraction of the pipe). The numerical results were validated against experimental data from the literature and were found to be in good agreement. Index Terms: gambit, fluent software.
Finite volume solution of diffusion equation and application to model problemseSAT Journals
Abstract
In the present numerical study, the two dimensional diffusion equations are converted to a system of linear equations using finitevolume
method. The system of equations is solved by a direct method. For the entire process a computer code is developed in Matlab.
In the second part of the present study, the computer codes developed for solving diffusion equation is then applied to a series of
model problems. These problems contain features found in more complicated engineering situations. The problems are distinguished
by their different boundary conditions, and by the variation of the source term and diffusivity in the domain.
Keywords: Diffusion Equation, Finite Volume Method, Numerical Study, Model Problems.
A computational approach for evaluating helical compression springseSAT Journals
Abstract Helical compression springs are generally synthesized and evaluated by determining the maximum torsional stress, fatigue life, natural frequency, and/or load loss due to stress relaxation. To this end, researchers have developed finite element analysis (FEA) modeling methods to simulate the design performance of helical compression springs. The intent of this paper was to make a useful contribution to the published works for evaluating round wire helical compression springs. Specifically, commercially available FEA software was used to construct a structural model of a helical compression spring to simulate its full range of compression. The proposed FEA modeling methodology considers coil-to-coil contact and the end coils were modeled as rigid surfaces. With 9 mm of compression, the predicted spring rate correlated with the analytically calculated value to within 5%. Keywords: Helical compression spring, machine component design, spring FEA
Similar to Implementation of finite volume method in creeping flow around a circular cylinder (20)
Mechanical properties of hybrid fiber reinforced concrete for pavementseSAT Journals
Abstract
The effect of addition of mono fibers and hybrid fibers on the mechanical properties of concrete mixture is studied in the present
investigation. Steel fibers of 1% and polypropylene fibers 0.036% were added individually to the concrete mixture as mono fibers and
then they were added together to form a hybrid fiber reinforced concrete. Mechanical properties such as compressive, split tensile and
flexural strength were determined. The results show that hybrid fibers improve the compressive strength marginally as compared to
mono fibers. Whereas, hybridization improves split tensile strength and flexural strength noticeably.
Keywords:-Hybridization, mono fibers, steel fiber, polypropylene fiber, Improvement in mechanical properties.
Material management in construction – a case studyeSAT Journals
Abstract
The objective of the present study is to understand about all the problems occurring in the company because of improper application
of material management. In construction project operation, often there is a project cost variance in terms of the material, equipments,
manpower, subcontractor, overhead cost, and general condition. Material is the main component in construction projects. Therefore,
if the material management is not properly managed it will create a project cost variance. Project cost can be controlled by taking
corrective actions towards the cost variance. Therefore a methodology is used to diagnose and evaluate the procurement process
involved in material management and launch a continuous improvement was developed and applied. A thorough study was carried
out along with study of cases, surveys and interviews to professionals involved in this area. As a result, a methodology for diagnosis
and improvement was proposed and tested in selected projects. The results obtained show that the main problem of procurement is
related to schedule delays and lack of specified quality for the project. To prevent this situation it is often necessary to dedicate
important resources like money, personnel, time, etc. To monitor and control the process. A great potential for improvement was
detected if state of the art technologies such as, electronic mail, electronic data interchange (EDI), and analysis were applied to the
procurement process. These helped to eliminate the root causes for many types of problems that were detected.
Managing drought short term strategies in semi arid regions a case studyeSAT Journals
Abstract
Drought management needs multidisciplinary action. Interdisciplinary efforts among the experts in various fields of the droughts
prone areas are helpful to achieve tangible and permanent solution for this recurring problem. The Gulbarga district having the total
area around 16, 240 sq.km, and accounts 8.45 per cent of the Karnataka state area. The district has been situated with latitude 17º 19'
60" North and longitude of 76 º 49' 60" east. The district is situated entirely on the Deccan plateau positioned at a height of 300 to
750 m above MSL. Sub-tropical, semi-arid type is one among the drought prone districts of Karnataka State. The drought
management is very important for a district like Gulbarga. In this paper various short term strategies are discussed to mitigate the
drought condition in the district.
Keywords: Drought, South-West monsoon, Semi-Arid, Rainfall, Strategies etc.
Life cycle cost analysis of overlay for an urban road in bangaloreeSAT Journals
Abstract
Pavements are subjected to severe condition of stresses and weathering effects from the day they are constructed and opened to traffic
mainly due to its fatigue behavior and environmental effects. Therefore, pavement rehabilitation is one of the most important
components of entire road systems. This paper highlights the design of concrete pavement with added mono fibers like polypropylene,
steel and hybrid fibres for a widened portion of existing concrete pavement and various overlay alternatives for an existing
bituminous pavement in an urban road in Bangalore. Along with this, Life cycle cost analyses at these sections are done by Net
Present Value (NPV) method to identify the most feasible option. The results show that though the initial cost of construction of
concrete overlay is high, over a period of time it prove to be better than the bituminous overlay considering the whole life cycle cost.
The economic analysis also indicates that, out of the three fibre options, hybrid reinforced concrete would be economical without
compromising the performance of the pavement.
Keywords: - Fatigue, Life cycle cost analysis, Net Present Value method, Overlay, Rehabilitation
Laboratory studies of dense bituminous mixes ii with reclaimed asphalt materialseSAT Journals
Abstract
The issue of growing demand on our nation’s roadways over that past couple of decades, decreasing budgetary funds, and the need to
provide a safe, efficient, and cost effective roadway system has led to a dramatic increase in the need to rehabilitate our existing
pavements and the issue of building sustainable road infrastructure in India. With these emergency of the mentioned needs and this
are today’s burning issue and has become the purpose of the study.
In the present study, the samples of existing bituminous layer materials were collected from NH-48(Devahalli to Hassan) site.The
mixtures were designed by Marshall Method as per Asphalt institute (MS-II) at 20% and 30% Reclaimed Asphalt Pavement (RAP).
RAP material was blended with virgin aggregate such that all specimens tested for the, Dense Bituminous Macadam-II (DBM-II)
gradation as per Ministry of Roads, Transport, and Highways (MoRT&H) and cost analysis were carried out to know the economics.
Laboratory results and analysis showed the use of recycled materials showed significant variability in Marshall Stability, and the
variability increased with the increase in RAP content. The saving can be realized from utilization of recycled materials as per the
methodology, the reduction in the total cost is 19%, 30%, comparing with the virgin mixes.
Keywords: Reclaimed Asphalt Pavement, Marshall Stability, MS-II, Dense Bituminous Macadam-II
Laboratory investigation of expansive soil stabilized with natural inorganic ...eSAT Journals
Abstract
Soil stabilization has proven to be one of the oldest techniques to improve the soil properties. Literature review conducted revealed
that uses of natural inorganic stabilizers are found to be one of the best options for soil stabilization. In this regard an attempt has
been made to evaluate the influence of RBI-81 stabilizer on properties of black cotton soil through laboratory investigations. Black
cotton soil with varying percentages of RBI-81 viz., 0, 0.5, 1, 1.5, 2, and 2.5 percent were studied for moisture density relationships
and strength behaviour of soils. Also the effect of curing period was evaluated as literature review clearly emphasized the strength
gain of soils stabilized with RBI-81 over a period of time. The results obtained shows that the unconfined compressive strength of
specimens treated with RBI-81 increased approximately by 250% for a curing period of 28 days as compared to virgin soil. Further
the CBR value improved approximately by 400%. The studies indicated an increasing trend for soil strength behaviour with
increasing percentage of RBI-81 suggesting its potential applications in soil stabilization.
Influence of reinforcement on the behavior of hollow concrete block masonry p...eSAT Journals
Abstract
Reinforced masonry was developed to exploit the strength potential of masonry and to solve its lack of tensile strength. Experimental
and analytical studies have been carried out to investigate the effect of reinforcement on the behavior of hollow concrete block
masonry prisms under compression and to predict ultimate failure compressive strength. In the numerical program, three dimensional
non-linear finite elements (FE) model based on the micro-modeling approach is developed for both unreinforced and reinforced
masonry prisms using ANSYS (14.5). The proposed FE model uses multi-linear stress-strain relationships to model the non-linear
behavior of hollow concrete block, mortar, and grout. Willam-Warnke’s five parameter failure theory has been adopted to model the
failure of masonry materials. The comparison of the numerical and experimental results indicates that the FE models can successfully
capture the highly nonlinear behavior of the physical specimens and accurately predict their strength and failure mechanisms.
Keywords: Structural masonry, Hollow concrete block prism, grout, Compression failure, Finite element method,
Numerical modeling.
Influence of compaction energy on soil stabilized with chemical stabilizereSAT Journals
Abstract
Increase in traffic along with heavier magnitude of wheel loads cause rapid deterioration in pavements. There is a need to improve
density, strength of soil subgrade and other pavement layers. In this study an attempt is made to improve the properties of locally
available loamy soil using twin approaches viz., i) increasing the compaction of soil and ii) treating the soil with chemical stabilizer.
Laboratory studies are carried out on both untreated and treated soil samples compacted by different compaction efforts. Studies
show that increase in compaction effort results in increase in density of soil. However in soil treated with chemical stabilizer, rate of
increase in density is not significant. The soil treated with chemical stabilizer exhibits improvement in both strength and performance
properties.
Keywords: compaction, density, subgradestabilization, resilient modulus
Geographical information system (gis) for water resources managementeSAT Journals
Abstract
Water resources projects are inherited with overlapping and at times conflicting objectives. These projects are often of varied sizes
ranging from major projects with command areas of millions of hectares to very small projects implemented at the local level. Thus,
in all these projects there is seldom proper coordination which is essential for ensuring collective sustainability.
Integrated watershed development and management is the accepted answer but in turn requires a comprehensive framework that can
enable planning process involving all the stakeholders at different levels and scales is compulsory. Such a unified hydrological
framework is essential to evaluate the cause and effect of all the proposed actions within the drainage basins.
The present paper describes a hydrological framework developed in the form of a Hydrologic Information System (HIS) which is
intended to meet the specific information needs of the various line departments of a typical State connected with water related aspects.
The HIS consist of a hydrologic information database coupled with tools for collating primary and secondary data and tools for
analyzing and visualizing the data and information. The HIS also incorporates hydrological model base for indirect assessment of
various entities of water balance in space and time. The framework would be maintained and updated to reflect fully the most
accurate ground truth data and the infrastructure requirements for planning and management.
Keywords: Hydrological Information System (HIS); WebGIS; Data Model; Web Mapping Services
Forest type mapping of bidar forest division, karnataka using geoinformatics ...eSAT Journals
Abstract
The study demonstrate the potentiality of satellite remote sensing technique for the generation of baseline information on forest types
including tree plantation details in Bidar forest division, Karnataka covering an area of 5814.60Sq.Kms. The Total Area of Bidar
forest division is 5814Sq.Kms analysis of the satellite data in the study area reveals that about 84% of the total area is Covered by
crop land, 1.778% of the area is covered by dry deciduous forest, 1.38 % of mixed plantation, which is very threatening to the
environmental stability of the forest, future plantation site has been mapped. With the use of latest Geo-informatics technology proper
and exact condition of the trees can be observed and necessary precautions can be taken for future plantation works in an appropriate
manner
Keywords:-RS, GIS, GPS, Forest Type, Tree Plantation
Factors influencing compressive strength of geopolymer concreteeSAT Journals
Abstract
To study effects of several factors on the properties of fly ash based geopolymer concrete on the compressive strength and also the
cost comparison with the normal concrete. The test variables were molarities of sodium hydroxide(NaOH) 8M,14M and 16M, ratio of
NaOH to sodium silicate (Na2SiO3) 1, 1.5, 2 and 2.5, alkaline liquid to fly ash ratio 0.35 and 0.40 and replacement of water in
Na2SiO3 solution by 10%, 20% and 30% were used in the present study. The test results indicated that the highest compressive
strength 54 MPa was observed for 16M of NaOH, ratio of NaOH to Na2SiO3 2.5 and alkaline liquid to fly ash ratio of 0.35. Lowest
compressive strength of 27 MPa was observed for 8M of NaOH, ratio of NaOH to Na2SiO3 is 1 and alkaline liquid to fly ash ratio of
0.40. Alkaline liquid to fly ash ratio of 0.35, water replacement of 10% and 30% for 8 and 16 molarity of NaOH and has resulted in
compressive strength of 36 MPa and 20 MPa respectively. Superplasticiser dosage of 2 % by weight of fly ash has given higher
strength in all cases.
Keywords: compressive strength, alkaline liquid, fly ash
Experimental investigation on circular hollow steel columns in filled with li...eSAT Journals
Abstract
Composite Circular hollow Steel tubes with and without GFRP infill for three different grades of Light weight concrete are tested for
ultimate load capacity and axial shortening , under Cyclic loading. Steel tubes are compared for different lengths, cross sections and
thickness. Specimens were tested separately after adopting Taguchi’s L9 (Latin Squares) Orthogonal array in order to save the initial
experimental cost on number of specimens and experimental duration. Analysis was carried out using ANN (Artificial Neural
Network) technique with the assistance of Mini Tab- a statistical soft tool. Comparison for predicted, experimental & ANN output is
obtained from linear regression plots. From this research study, it can be concluded that *Cross sectional area of steel tube has most
significant effect on ultimate load carrying capacity, *as length of steel tube increased- load carrying capacity decreased & *ANN
modeling predicted acceptable results. Thus ANN tool can be utilized for predicting ultimate load carrying capacity for composite
columns.
Keywords: Light weight concrete, GFRP, Artificial Neural Network, Linear Regression, Back propagation, orthogonal
Array, Latin Squares
Experimental behavior of circular hsscfrc filled steel tubular columns under ...eSAT Journals
Abstract
This paper presents an outlook on experimental behavior and a comparison with predicted formula on the behaviour of circular
concentrically loaded self-consolidating fibre reinforced concrete filled steel tube columns (HSSCFRC). Forty-five specimens were
tested. The main parameters varied in the tests are: (1) percentage of fiber (2) tube diameter or width to wall thickness ratio (D/t
from 15 to 25) (3) L/d ratio from 2.97 to 7.04 the results from these predictions were compared with the experimental data. The
experimental results) were also validated in this study.
Keywords: Self-compacting concrete; Concrete-filled steel tube; axial load behavior; Ultimate capacity.
Evaluation of punching shear in flat slabseSAT Journals
Abstract
Flat-slab construction has been widely used in construction today because of many advantages that it offers. The basic philosophy in
the design of flat slab is to consider only gravity forces; this method ignores the effect of punching shear due to unbalanced moments
at the slab column junction which is critical. An attempt has been made to generate generalized design sheets which accounts both
punching shear due to gravity loads and unbalanced moments for cases (a) interior column; (b) edge column (bending perpendicular
to shorter edge); (c) edge column (bending parallel to shorter edge); (d) corner column. These design sheets are prepared as per
codal provisions of IS 456-2000. These design sheets will be helpful in calculating the shear reinforcement to be provided at the
critical section which is ignored in many design offices. Apart from its usefulness in evaluating punching shear and the necessary
shear reinforcement, the design sheets developed will enable the designer to fix the depth of flat slab during the initial phase of the
design.
Keywords: Flat slabs, punching shear, unbalanced moment.
Evaluation of performance of intake tower dam for recent earthquake in indiaeSAT Journals
Abstract
Intake towers are typically tall, hollow, reinforced concrete structures and form entrance to reservoir outlet works. A parametric
study on dynamic behavior of circular cylindrical towers can be carried out to study the effect of depth of submergence, wall thickness
and slenderness ratio, and also effect on tower considering dynamic analysis for time history function of different soil condition and
by Goyal and Chopra accounting interaction effects of added hydrodynamic mass of surrounding and inside water in intake tower of
dam
Key words: Hydrodynamic mass, Depth of submergence, Reservoir, Time history analysis,
Evaluation of operational efficiency of urban road network using travel time ...eSAT Journals
Abstract
Efficiency of the road network system is analyzed by travel time reliability measures. The study overlooks on an important measure of
travel time reliability and prioritizing Tiruchirappalli road network. Traffic volume and travel time were collected using license plate
matching method. Travel time measures were estimated from average travel time and 95th travel time. Effect of non-motorized vehicle
on efficiency of road system was evaluated. Relation between buffer time index and traffic volume was created. Travel time model has
been developed and travel time measure was validated. Then service quality of road sections in network were graded based on
travel time reliability measures.
Keywords: Buffer Time Index (BTI); Average Travel Time (ATT); Travel Time Reliability (TTR); Buffer Time (BT).
Estimation of surface runoff in nallur amanikere watershed using scs cn methodeSAT Journals
Abstract
The development of watershed aims at productive utilization of all the available natural resources in the entire area extending from
ridge line to stream outlet. The per capita availability of land for cultivation has been decreasing over the years. Therefore, water and
the related land resources must be developed, utilized and managed in an integrated and comprehensive manner. Remote sensing and
GIS techniques are being increasingly used for planning, management and development of natural resources. The study area, Nallur
Amanikere watershed geographically lies between 110 38’ and 110 52’ N latitude and 760 30’ and 760 50’ E longitude with an area of
415.68 Sq. km. The thematic layers such as land use/land cover and soil maps were derived from remotely sensed data and overlayed
through ArcGIS software to assign the curve number on polygon wise. The daily rainfall data of six rain gauge stations in and around
the watershed (2001-2011) was used to estimate the daily runoff from the watershed using Soil Conservation Service - Curve Number
(SCS-CN) method. The runoff estimated from the SCS-CN model was then used to know the variation of runoff potential with different
land use/land cover and with different soil conditions.
Keywords: Watershed, Nallur watershed, Surface runoff, Rainfall-Runoff, SCS-CN, Remote Sensing, GIS.
Estimation of morphometric parameters and runoff using rs & gis techniqueseSAT Journals
Abstract
Land and water are the two vital natural resources, the optimal management of these resources with minimum adverse environmental
impact are essential not only for sustainable development but also for human survival. Satellite remote sensing with geographic
information system has a pragmatic approach to map and generate spatial input layers of predicting response behavior and yield of
watershed. Hence, in the present study an attempt has been made to understand the hydrological process of the catchment at the
watershed level by drawing the inferences from moprhometric analysis and runoff. The study area chosen for the present study is
Yagachi catchment situated in Chickamaglur and Hassan district lies geographically at a longitude 75⁰52’08.77”E and
13⁰10’50.77”N latitude. It covers an area of 559.493 Sq.km. Morphometric analysis is carried out to estimate morphometric
parameters at Micro-watershed to understand the hydrological response of the catchment at the Micro-watershed level. Daily runoff
is estimated using USDA SCS curve number model for a period of 10 years from 2001 to 2010. The rainfall runoff relationship of the
study shows there is a positive correlation.
Keywords: morphometric analysis, runoff, remote sensing and GIS, SCS - method
-
Effect of variation of plastic hinge length on the results of non linear anal...eSAT Journals
Abstract The nonlinear Static procedure also well known as pushover analysis is method where in monotonically increasing loads are applied to the structure till the structure is unable to resist any further load. It is a popular tool for seismic performance evaluation of existing and new structures. In literature lot of research has been carried out on conventional pushover analysis and after knowing deficiency efforts have been made to improve it. But actual test results to verify the analytically obtained pushover results are rarely available. It has been found that some amount of variation is always expected to exist in seismic demand prediction of pushover analysis. Initial study is carried out by considering user defined hinge properties and default hinge length. Attempt is being made to assess the variation of pushover analysis results by considering user defined hinge properties and various hinge length formulations available in literature and results compared with experimentally obtained results based on test carried out on a G+2 storied RCC framed structure. For the present study two geometric models viz bare frame and rigid frame model is considered and it is found that the results of pushover analysis are very sensitive to geometric model and hinge length adopted. Keywords: Pushover analysis, Base shear, Displacement, hinge length, moment curvature analysis
Effect of use of recycled materials on indirect tensile strength of asphalt c...eSAT Journals
Abstract
Depletion of natural resources and aggregate quarries for the road construction is a serious problem to procure materials. Hence
recycling or reuse of material is beneficial. On emphasizing development in sustainable construction in the present era, recycling of
asphalt pavements is one of the effective and proven rehabilitation processes. For the laboratory investigations reclaimed asphalt
pavement (RAP) from NH-4 and crumb rubber modified binder (CRMB-55) was used. Foundry waste was used as a replacement to
conventional filler. Laboratory tests were conducted on asphalt concrete mixes with 30, 40, 50, and 60 percent replacement with RAP.
These test results were compared with conventional mixes and asphalt concrete mixes with complete binder extracted RAP
aggregates. Mix design was carried out by Marshall Method. The Marshall Tests indicated highest stability values for asphalt
concrete (AC) mixes with 60% RAP. The optimum binder content (OBC) decreased with increased in RAP in AC mixes. The Indirect
Tensile Strength (ITS) for AC mixes with RAP also was found to be higher when compared to conventional AC mixes at 300C.
Keywords: Reclaimed asphalt pavement, Foundry waste, Recycling, Marshall Stability, Indirect tensile strength.
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.
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.
Democratizing Fuzzing at Scale by Abhishek Aryaabh.arya
Presented at NUS: Fuzzing and Software Security Summer School 2024
This keynote talks about the democratization of fuzzing at scale, highlighting the collaboration between open source communities, academia, and industry to advance the field of fuzzing. It delves into the history of fuzzing, the development of scalable fuzzing platforms, and the empowerment of community-driven research. The talk will further discuss recent advancements leveraging AI/ML and offer insights into the future evolution of the fuzzing landscape.
Automobile Management System Project Report.pdfKamal Acharya
The proposed project is developed to manage the automobile in the automobile dealer company. The main module in this project is login, automobile management, customer management, sales, complaints and reports. The first module is the login. The automobile showroom owner should login to the project for usage. The username and password are verified and if it is correct, next form opens. If the username and password are not correct, it shows the error message.
When a customer search for a automobile, if the automobile is available, they will be taken to a page that shows the details of the automobile including automobile name, automobile ID, quantity, price etc. “Automobile Management System” is useful for maintaining automobiles, customers effectively and hence helps for establishing good relation between customer and automobile organization. It contains various customized modules for effectively maintaining automobiles and stock information accurately and safely.
When the automobile is sold to the customer, stock will be reduced automatically. When a new purchase is made, stock will be increased automatically. While selecting automobiles for sale, the proposed software will automatically check for total number of available stock of that particular item, if the total stock of that particular item is less than 5, software will notify the user to purchase the particular item.
Also when the user tries to sale items which are not in stock, the system will prompt the user that the stock is not enough. Customers of this system can search for a automobile; can purchase a automobile easily by selecting fast. On the other hand the stock of automobiles can be maintained perfectly by the automobile shop manager overcoming the drawbacks of existing system.
Water scarcity is the lack of fresh water resources to meet the standard water demand. There are two type of water scarcity. One is physical. The other is economic water scarcity.
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.
Welcome to WIPAC Monthly the magazine brought to you by the LinkedIn Group Water Industry Process Automation & Control.
In this month's edition, along with this month's industry news to celebrate the 13 years since the group was created we have articles including
A case study of the used of Advanced Process Control at the Wastewater Treatment works at Lleida in Spain
A look back on an article on smart wastewater networks in order to see how the industry has measured up in the interim around the adoption of Digital Transformation in the Water Industry.
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.
Implementation of finite volume method in creeping flow around a circular cylinder
1. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
_______________________________________________________________________________________________
Volume: 05 Issue: 08 | Aug-2016, Available @ http://ijret.esatjournals.org 327
IMPLEMENTATION OF FINITE VOLUME METHOD IN CREEPING
FLOW AROUND A CIRCULAR CYLINDER
M. Y. Gokhale1, Mansoureh Sarbandi Farahani2
1
Maharashtra Institute of Technology, Pune, Maharashtra, India
2
Department of Mathematics, S. P. Pune University, Pune, Maharashtra, India
Abstract
A Finite Volume Method have been performed in simulation of creeping flow around a circular cylinder contained between plates.
By adopting the SIMPLE algorithm the governing equations are solved together with Papanastasious regularization. Apparent
viscosity is calculated on each iteration by using forward difference operation. Yield surfaces are studied over the range of
Oldroyd number 10 ≤Od≤ 104
. The model results are found to be in good agreement with obtained results of the other method.
Keywords: Creeping flow, Finite Volume Method, Yielded and unyielded zone, Bingham number.
--------------------------------------------------------------------***----------------------------------------------------------------------
1. INTRODUCTION
Creeping flows characterized by very low the Reynolds
number (Re≤1), which is dominated by viscosity and occur
in many fluids such as honey, paste food and blood. In such
fluids when the stress falls the yield stress, three rigid zones
formed in the vicinity of the cylinder. The study of
identifying the location and size of rigidzones has been of
interest to researchers.
Over the range 0.01≤ Bn ≤1000, Mitsoulis [8] Extensive
results on the location and size of unyielded regions, has
reported the effect of the Bingham number on the size of
various unyielded regions around the cylinder. Tokpavi et
al. [13] adopted Papanastasious regularization with finite
element methods to study flow around a circular cylinder,
they have been identified and characterized the rigid zones
over the wide range of Oldroyd number. Using the finite
element method, Nirmalkar et al. [10] simulated the 2D-
creeping flow around square cylinder over a wide range of
Bingham number as 1≤ Bn ≤ 105
. They are identified three
zones of unyielded regions in the vicinity of the cylinder, all
zones expanded by increasing Bingham number. This study
investigates 2D-creeping flow past a circular cylinder by
adopting a Finite Volume Method, Semi Implicit Method for
Pressure-Linked Equation (SIMPLE) is used for coupling
the pressure and velocity. The governing equations are
solved numerically together with the Papanastasiou model
[11].
Yield surfaces are predicted over the range of Oldroyd
number 1≤ Od ≤ 104
. The objective of this work is
implementing Finite Volume Method for Non-Newtonian
flow problems as an alternative solver to the Finite Element
Method and commercial software like COMSOL. The
results are validated with numerical results of Tokpavi et
al.[13].
2. GOVERNING EQUATIONS
The problem of 2D-creeping flow past a circular cylinder of
diameter d is considered (Fig 1).
Fig -1: Flow field. Schematic representation of the problem
The length of the domain is 2L and cylinder is situated half-
way between two flat plates 2L apart. Because of the
creeping flow assumption (Re = 0) there is symmetry in
both x-direction and y-direction in a Cartesian coordinate
system(x, y).
2. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
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Volume: 05 Issue: 08 | Aug-2016, Available @ http://ijret.esatjournals.org 328
For an incompressible fluid the conservation equations of
mass and momentum in the condition of creeping flow can
be written as:
∇. 𝑣̅ = 0 (1)
−∇P + ∇. 𝜏̿ = 0 (2)
Where v̅ is the velocity vector, τ̿the extra-stress tensor, and
p is the scalar pressure. The Bingham constitutive equation
is:
{
τ = τy + μγ ̇ | 𝜏| > τy
γ̇ = 0 | 𝜏| ≤ τy
(3)
Where τ is the shearstress,τy the yield stress, 𝜇 the constant
plastic viscosity and 𝛾̇ is the rate of strain tensor,
𝛾̇ = (∇𝑉 + ∇𝑉 𝑇 ) (4)
𝑉 is the velocity. In order to avoid the discontinuity in
viscoplastic model Papanastasiou [11] modified the
Bingham model as:
𝜏̿ = (μ + τy
1−exp(−𝑚𝛾̇ )
𝛾̇
)𝛾̇̿ (5)
Where mis the stress growth exponent, the magnitude of the
rate of the deformation tensor and the deviator stress tensor
are given by:
| 𝛾̇ | = √
1
2
𝑡𝑟( 𝛾̇ 2) | 𝜏| = √
1
2
𝑡𝑟( 𝜏2) (6)
The Oldroyd number which is the ratio of the yield stress to
viscous stress can be written as:
𝐵 𝑛 =
𝜏0 𝑑
μ𝑉
(7)
All variables are rendered dimensionless using d, V and 𝜏0
as scaling variables for length, velocity and stress
component respectively.
2.1 Boundary Conditions
The flowing is very slow then, the inertia forces are
negligible. Because of symmetry it is necessary to consider
only one quadrant of the flow domain, as was done
previously by Beris et al. [3] in the case of flow around a
sphere.
Fig 1 shows the solution domain and boundary conditions.
The boundary conditions are:
• Symmetry along AF (𝑢 = 0,
𝜕𝑣
𝜕𝑥
= 0)
• Symmetry along DC( 𝑢 = 0,
𝜕𝑣
𝜕𝑦
= 0)
• On the boundary AB and BC (𝑢 = 0, 𝑣 = 𝑉)
• No slip at the cylinder surface along FD(𝑢 = 𝑣 = 0)
• The reference pressure is set to zero at point C
2.2 Unyielded and Yielded Zone
Unyielded (rigid) zones refer to all areas in which inequality
τ < τy satisfied, otherwise are called yielded zones and be
considered as a fluid. The interface between unyielded and
yielded zones is called yield surface (τ = τy ). Three distinct
rigid zones as shown in Fig2, with their corresponding yield
surfaces are observed by Tokpavi et al. [13].
• A far-field Dynamic rigid zone (Zr1)
• Two static rigid zones with triangular shape connected to
the cylinder (Zr2)
• Two dynamic zones on both sides of the cylinder
equidistant from it (Zr3)
• The yield surface S1, boundary between Zr1 and fluid
zone.
• The yield surface S2, boundary between Zr2 and fluid
zone.
• The yield surface S3, boundary between Zr3 and fluid
zone.
Fig-2: Definition of yield surfaces, rigid and fluid zones
3. COMPUTATIONAL PROCEDURES
The SIMPLE algorithm developed here in rectangular
Cartesian coordinate system, the location of the depended
variable shown in Fig 3. The pressure p, stored in the cell
midpoint and the velocities u and v placed on the vertical
and horizontal cell interface respectively. The constitutive
equation must be solved together with the momentum
equations. Using the center difference approximation, the u-
momentum and v-momentum discretized on the point the
index of (i,J), and (I,j) respectively (Fig 4), the continuity
equation and the constitutive equation discretized on the
point the index of (I,J).
3. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
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Volume: 05 Issue: 08 | Aug-2016, Available @ http://ijret.esatjournals.org 329
Fig-3: Control volume cell
Fig-4: Staggered grid
3.1 Solution Algorithm
• Step1: Initialize the velocity and pressure
• Step 2: Evaluate the apparent viscosity by using Equation
(5)
• Step 3: Set initial guess for 𝑝∗
, 𝑢∗
, 𝑣∗
• Step 4: Evaluate 𝑢∗
by solving discretized u−momentum
equation
𝑎𝑖,𝐽 𝑢 𝑖,𝐽
∗
= 𝑎𝑖−1,𝐽 𝑢 𝑖−1,𝐽
∗
+ 𝑎𝑖+1,𝐽 𝑢 𝑖+1,𝐽
∗
+ 𝑎𝑖,𝐽−1 𝑢 𝑖,𝐽−1
∗
+𝑎𝑖,𝐽+1 𝑢 𝑖,𝐽+1
∗
+ 𝑆 𝑢∆𝑉 −
𝑝𝐼 ,𝐽 − 𝑝𝐼 −1,𝐽
∆𝑦
∆𝑉 +
(1 − 𝛼 𝑢)𝑢 𝑖,𝐽
𝑛−1
(8)
• Step 5: Evaluate 𝑣∗
by solving v−momentum equation
approximated
𝑎𝐼,𝑗 𝑣𝐼,𝑗
∗
= 𝑎𝐼 ,𝑗−1 𝑣𝐼,𝑗−1
∗
+ 𝑎𝐼 +1,𝑗 𝑣𝐼+1,𝑗
∗
+ 𝑎𝐼 −1,𝑗 𝑣𝐼−1,𝑗
∗
+𝑎𝐼−1,𝑗 𝑣𝐼−1,𝑗
∗
+ 𝑆 𝑣∆𝑉 −
𝑝𝐼 ,𝐽 − 𝑝𝐼 ,𝐽−1
∆𝑦
∆𝑉 +
(1 − 𝛼 𝑣)𝑣𝐼,𝑗
𝑛−1
(9)
• Step 6: Evaluate 𝑝′
by solving Poisson equation
𝑎𝐼,𝐽 𝑝𝐼,𝐽
′
= 𝑎𝐼+1,𝐽 𝑝𝐼 +1,𝐽
′
+ 𝑎𝐼−1,𝐽 𝑝𝐼 −1,𝐽
′
+ 𝑎𝐼,𝑗+1 𝑝𝐼 ,𝑗+1
′
+
𝑎𝐼,𝐽−1 𝑝𝐼,𝐽−1
′
+ 𝑏𝐼,𝐽
′
(10)
• Step 7: Correct pressures and velocities using under-
relaxation
𝑝 𝑛
= 𝑝∗𝑛−1
+ 𝛼 𝑝 𝑝′𝑛
𝑢 𝑖,𝐽
′
= −( 𝑝𝐼 ,𝐽
′
− 𝑝𝐼 −1,𝐽
′ )
∆𝑥 𝑖,𝐽
𝑎𝑖,𝐽
, 𝑣𝐼,𝑗
′
= −( 𝑝𝐼 ,𝐽
′
− 𝑝𝐼 ,𝐽−1
′ )
∆𝑥 𝐼,𝑗
𝑎𝐼,𝑗
𝑢 𝑛
= 𝛼 𝑢
( 𝑢∗𝑛
+ 𝑢′𝑛) + (1 − 𝛼 𝑢)𝑢 𝑛−1
𝑣 𝑛
= 𝛼 𝑣
( 𝑣∗𝑛
+ 𝑣′𝑛) + (1 − 𝛼 𝑣)𝑣 𝑛−1
(11)
• Step 8: Increase iteration step, if iteration step < max
iteration, go to step 2
4. RESULT AND DISCUSSION
In this problem, a circular cylinder contained between two
plates, the momentum equation and continuity equation are
solved together with Papanastasiou equation [11]. The
SIMPLE algorithm is used as a pressure correction method.
Numerical computation is carried out on the impute values
which correspond to the experiment conducted by Tokpavi
et al. , the schematic diagram of the 2D-creeping flow past a
circular cylinder is shown in Fig 1. The cylinder of diameter
d is situated half-way between two plates, as inertia force is
neglected, two plates of symmetry are considered.
Thus, the domain is reduced to the quarter of the flow field.
The computational domain comprises L × L, the ratio length
by cylinder diameter is considered L/d = 5. The symmetry
boundaries are considered at the AF and DC. The velocity u
and v at the AB and BC are specified as zero and V
respectively. The no slip boundary is specified at the
cylinder. Numerical simulation is performed by considering
nXp × nYp, nXp − 1 × nYp and nXp × nYp − 1 cells to
store the pressure, u-velocity and v-velocity values
respectively. Fig 5 shows the computational grid, in the
vicinity of the cylinder a finer mesh is used (grid size h =
0.005 in the vicinity of cylinder and h = 0.01 for far from
the cylinder, totally 1900 cells).
Fig-5:Full view of the finite volume grid for L/d = 5.
4. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
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Volume: 05 Issue: 08 | Aug-2016, Available @ http://ijret.esatjournals.org 330
The alternative Gauss Seidel (GS) has been adopted to solve
velocity with residual criteria of eps = 1e−5and under
relaxation factor of 𝛼 𝑢 = 𝛼 𝑢 = 0.6, to solve the pressure
equation, the values of eps = 1e−5and 𝛼 𝑝 = 0.1 are used.
Fig 6 shows the location of yield surfaces at Od = 10, 100,
1000 and 10000. The comparison of numerical and result of
Tokpavi et al.[13] shows good agreement, a minor
difference was observed may be due to use of coarse mesh.
Fig-6: Location of yield structure
Fig 7 shows the changes in yield surfaces (S1, S2, S3) for
Oldroyd number of 10, 100, 1000, 10000.
As can be seen from Fig 6 and Fig 7 the space of the rigid
zone increased by increasing the Oldroyd number.
5. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
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Volume: 05 Issue: 08 | Aug-2016, Available @ http://ijret.esatjournals.org 331
Fig-7: Dependence of yield surfaces S1, S2, S3 on Oldroyd
number
Increasing at large Oldroyd number as created slightly
change in rigid zones.
5. CONCLUSION
In this paper a Finite Volume Method has been implemented
for the creeping flow past a circular cylinder. The SYMPLE
algorithm adopted the equation discretized on a staggered
grid. The location of yield surfaces identified over the range
of Oldroyd number of 10, 100, 1000, 10000. Results are
compared with obtained results from finite element method,
and shows good agreement. The present model could be
useful for solving creeping flow problem and could be a
good alternative to the other solver like finite element and
commercial COMSOL software.
REFERENCES
[1]. Adachi, K. N.Yoshioka, On creeping flow of avisco-
plastic fluid ast a circular cylinder. Chemical Engineering
Science. 28(1973) 215-226.
[2]. Baaijens, H.P.W., Peters, G.W.M., Baaijens, F.P.T.,
Meijer, H.E.H., Viscoelastic flow past a confined cylinder of
a polyisobutylene solution, J. Rheol. 39 (1995) 1243-1277.
[3]. Beris, A.N., Tsamopoulos, J.A., Armstrong, R.C.,
Brown, R.A., Creeping motion of a sphere through a
Bingham plastic, J. Fluid Mech. 158 (1985) 219-244.
[3]. Bird, R.B., Dai, G.C., Yarusso, B.J., The rheology and
flow of viscoplastic materials, Rev. Chem. Eng. 1 (1983) 1-
70.
[4]. Keei, D.De, Turcotte, G., Viscosity of biomaterials.
Cheml Eng. 6(1980) 273-282.
[5]. Liu, A.W., Bornside, D.E., Armstrong, R.C., Brown,
R.A. , Viscoelastic flow of polymer solutions around a
periodic, linear array of cylinders: comparisons of
predictions for microstructure and flow fields, J. Non-
Newtonian Fluid Mech. 77 (1998) 153–190.
[6]. Mitsoulis, E., Flows of Viscoplastic materials: Models
and Computations, Rheology Reviews (2007), 135 - 178.
[7]. Mitsoulis, E., Abdali, S., Flow simulations of Herschel-
Bulkley fluid through extrusion dies,Can.J. Chem. Eng.71
(1993) 147-160.
[8]. Mitsoulis. Evan, On creeping drag flow of a viscoplastic
fluid past a circular cylinder: wall effects, Chemical
Engineering Science 59 (2004) 789-800.
[9]. Mallick, Monalisa, Kumar, A., Study on Drag
Coefficient for the Flow Past a Cylinder, International
Journal of Civil Engineering Research. 2278-3652 (2014),
301-306.
[10]. Nirmalkar, N., Chhabra, R.P., Poole, R.J., On creeping
flow of a Bingham plastic fluid past a square
cylinder,Journal of Non-Newtonian Fluid Mechanics 171-
172 (2012) 17-30.
[11]. Papanastasiou, T.C.,Flow of materials with yield, J.
Rheol. 31 (1987) 385-404.
[12]. Roquet, N., Saramito, P., An adaptive finite element
method for Bingham fluid flows around a cylinder, Comput.
Meth. Appl. Mech. Eng. 192 (2003) 3317-3341.
[13]. Tokpavi, D.L., Magnin, A., Jay, P., Very slow flow of
Bingham viscoplastic flow around a circular cylinder, J.
Non-Newton. Fluid Mech. 154 (2008) 65-76.
[14]. Zhu, H., Kim, Y.D., Kee, D.De, Non-Newtonian
fluids with a yield stress. J. Non-Newtonian Fluid Mech.
129 (2005) 177-181.
[15]. Zisis, Th., Mitsoulis, E., Viscoplastic flow around a
cylinder kept between parallel plates. J. Non-Newtonian
Fluid Mech. 105 (2002) 1-20.
BIOGRAPHIES
Professor and head in the Mathematics
Department Mathematics Institute of
Technology, Pune, Maharashtra, India
Phd Student at Department of
Mathematics, S. P. Pune University, Pune,
Maharashtra, India