Proceedings of the 13th International Conference on Mechanical Engineering (ICME2019), 2021
The behavior of natural convection laminar flow of Nanofluids over a horizontal circular cylinder... more The behavior of natural convection laminar flow of Nanofluids over a horizontal circular cylinder with uniform surface heat flux has been examined. In this study, Copper-Water (Cu-H2O) nanofluid has been chosen with different volume fractions ranging from 0% to 10%. In the present study, the governing boundary layer equations are converted into a dimensionless form, and the resultant non-dimensional set of equations has been transformed into a parabolic system of partial differential equations by applying a specific set of variables. The set of parabolic equations has been numerically solved using an implicit finite difference method. The outcomes of the numerical simulation have been compared and validated with an excellent agreement with the previously published work. The numerical results have been depicted in terms of the velocity and temperature profiles. Finally, the skin friction coefficient (Cf) and the local Nusselt number (Nu) has been outlined to understand the feature of the wall shear stress and the surface heat transfer rate, respectively.
A study on the natural convection flow of non-Newtonian fluid along a vertical thin cylinder with... more A study on the natural convection flow of non-Newtonian fluid along a vertical thin cylinder with constant wall temperature using modified power law viscosity model has been done. The basic equations are transformed to non dimensional boundary layer equations and the resulting systems of nonlinear partial differential equations are then solved employing marching order implicit finite difference method. The evolution of the surface shear stress in terms of local skin-friction, the rate of heat transfer in terms of local Nusselt number, velocity and temperature profiles for shear thinning as well as shear-thickening fluid considering the different values of Prandtl number have been focused. For the Newtonian fluids the present numerical results are compared with available published results which show a good agreement indeed. From the results it can be concluded that, at the leading edge, a Newtonian–like solution exists as the shear rate is not large enough to trigger non-Newtonian effects. Non-Newtonian effects can be found when the shear-rate increases beyond a threshold value.
Global Journal of Human-Social Science Research, 2013
In this paper our attention is directed towards the discussion of phenomenon of stiffness and tow... more In this paper our attention is directed towards the discussion of phenomenon of stiffness and towards general purpose procedures for the solution of stiff differential equations. Our aim is to identify the problem area and the characteristics of the stiff differential equations for which the equations are distinguishable. Most realistic stiff systems do not have analytical solutions so that a numerical procedure must be used. Computer implementation of such algorithms is widely available e.g. DIFSUB, GEAR, EPISODE etc. The most popular methods for the solution of stiff initial value problems for ordinary differential equations are the backward differentiation formulae (BDFs). In this study we focus on a particularly efficient algorithm which is named as EPISODE, based on variable coefficient backward differentiation formula. Through this study we find that though the method is very efficient it has certain problem area for a new user. All those problem area have been detected and re...
The effect of temperature dependent viscosity μ(T), on steady two-dimensional natural convection ... more The effect of temperature dependent viscosity μ(T), on steady two-dimensional natural convection flow along a vertical wavy cone with uniform surface heat flux, has been investigated numerically. Viscosity is considered to be a linear function of temperature T. Using the appropriate variables, the Navier-Stokes and energy equations are transformed into non-dimensional boundary layer equations and then solved numerically employing marching order implicit finite difference method with double sweep technique. The effects of viscosity variation parameter on the velocity profile, temperature profile, velocity vector field, skin friction coefficient, average Nusselt number, streamlines, and isotherm have been discussed by graphical representation.
The present paper aims to study of non-Newtonian fluid flow behaviors in a two-dimensional bifurc... more The present paper aims to study of non-Newtonian fluid flow behaviors in a two-dimensional bifurcated channel using lattice-Boltzmann method (LBM). In this LBM, well known D2Q9 model, and the single-relaxation-time (SRT) called the Lattice-BGK (Bhatnagar-Gross-Krook) approach has been adopted. In a bifurcated channel, the flow patterns are analogous to blood flows in branched arteries. Firstly, the code is validated by comparing the available published results for the Newtonian fluid flows in a channel with T-junction. The numerical results are simulated for the Reynolds number Re = 300, power-law index n = 0.5, 1.0 and 1.5, and the outlet flow rate ratio β. The effects of this relevant parameter on the streamlines, velocity distribution, recirculation zones as well as wall shear stress will be discussed to analyze the hemodynamic of blood flows near arterial bifurcations.
This study conducts a numerical simulation of mixed (combined) convective non‐Newtonian fluid flo... more This study conducts a numerical simulation of mixed (combined) convective non‐Newtonian fluid flow inside a two‐dimensional cavity (skewed) having a moving lid. The upper and bottom extremities of the cavity with different temperatures and two insulated side walls cause natural convection. Moreover, the forced convection is maintained by the motion of the lid with constant velocity. The governing equations are nondimensionalized with appropriate transformations and then transformed into curvilinear coordinates. A finite volume numerical procedure with a collocated grid arrangement is used to solve these equations. Comparisons with previously reported results are carried out, which shows an excellent agreement. Non‐Newtonian behaviors such as pseudo‐ plastic (shear‐thinning) and dilatant (shear‐thickening) are considered using the power‐law model, and thus the power‐law index is chosen accordingly. A wide range of the governing dimensionless parameters which affect the mixed convecti...
A modified power-law (MPL) viscosity model of non-Newtonian fluid flow has been used for the mult... more A modified power-law (MPL) viscosity model of non-Newtonian fluid flow has been used for the multiple-relaxation-time (MRT) lattice Boltzmann methods (LBM) and then validated with the benchmark problems using the graphics process unit (GPU) parallel computing via Compute Unified Device Architecture (CUDA) C platform. The MPL model for characterizing the non-Newtonian behavior is an empirical correlation that considers the Newtonian behavior of a non-Newtonian fluid at a very low and high shear rate. A new time unit parameter (λ) governing the flow has been identified, and this parameter is the consequence of the induced length scale introduced by the power law. The MPL model is free from any singularities due to the very low or even zero shear-rate. The proposed MPL model was first validated for the benchmark study of the lid-driven cavity and channel flows. The model was then applied for shear-thinning and shear-thickening fluid flows through a backward-facing step with relatively ...
The laminar flow of viscoplastic fluids inside a lid-driven skewed cavity has been investigated u... more The laminar flow of viscoplastic fluids inside a lid-driven skewed cavity has been investigated using a numerical scheme based on finite volume method considering Bingham model. Viscoplasticity is characterized by a yield stress, below which the materials behave as solids, and above which they deform and flow according to different constitutive relations. The governing two dimensional unsteady incompressible Navier-Stokes equations were initially non-dimensionalized using appropriate transformation. Then the dimensionless form of these equations is transformed to curvilinear coordinates to simulate complex geometry. The transformed equations are then discretized with appropriate boundary conditions to deal with the non-orthogonal grids. The code is first validated against the existing benchmark results for two-dimensional lid driven square cavity problem considering both Newtonian and non-Newtonian fluids. Then the code is applied to the skewed cavity problem involving non-Newtonian fluid which can be described by the Bingham model. The constitutive equation is regularized as proposed by Papanastasiou [1]. Moreover, grid independence test has been performed for a skewed cavity for different values of Bingham numbers. Reynolds number and Bingham number are two important parameters which can describe the flow behavior of Bingham fluid in the skewed cavity. In this research, the skewness of the geometry has been changed by changing the skew angle. The consequent numerical results are presented in terms of the velocity and streamlines for the different values of Bingham numbers having a different angle of a skewed cavity.The laminar flow of viscoplastic fluids inside a lid-driven skewed cavity has been investigated using a numerical scheme based on finite volume method considering Bingham model. Viscoplasticity is characterized by a yield stress, below which the materials behave as solids, and above which they deform and flow according to different constitutive relations. The governing two dimensional unsteady incompressible Navier-Stokes equations were initially non-dimensionalized using appropriate transformation. Then the dimensionless form of these equations is transformed to curvilinear coordinates to simulate complex geometry. The transformed equations are then discretized with appropriate boundary conditions to deal with the non-orthogonal grids. The code is first validated against the existing benchmark results for two-dimensional lid driven square cavity problem considering both Newtonian and non-Newtonian fluids. Then the code is applied to the skewed cavity problem involving non-Newtonian fluid which can be des...
International Journal of Applied and Computational Mathematics
Non-Newtonian laminar fluid flow in a lid-driven skewed cavity has been studied numerically using... more Non-Newtonian laminar fluid flow in a lid-driven skewed cavity has been studied numerically using power-law viscosity model. The governing two-dimensional unsteady incompressible Navier-Stokes equations were initially non-dimensionalized using appropriate transformation , and then the dimensionless form is transformed to generalized curvilinear coordinates to simulate complex geometry. The transformed equations are discretized using finite volume method with the collocated grid arrangement. The code is first validated against the existing benchmark results for two-dimensional lid-driven square cavity problem considering both Newtonian and non-Newtonian fluids. The validation has also been carried out for a lid-driven skewed cavity in the case of a Newtonian fluid. Then the code is applied to the skewed cavity problem involving non-Newtonian fluid flow which can be described by the power-law viscosity model. Moreover, grid independence test has been performed for a skewed cavity for different values of power-law index. In the present case, the skewness of the geometry has been changed by changing the skew angle for both shear-thinning and shear-thickening fluids. The consequent numerical results are presented in terms of the velocity as well as streamlines for the different values of the power-law index n = 0.5, 1 and 1.5, Reynolds number Re = 100, 200, 300 and 500 as well as for the different angles of the skewed cavity (α = 15 • to 165 •). Keywords Curvilinear coordinates · Non-orthogonal grid · Non-Newtonian fluid flow · Skewed cavity · Power-law model · Finite volume method List of Symbols A i j Cofactors of the Jacobian matrix D Non-dimensional fluid viscosity J Jacobian matrix B Md. Mamun Molla
In this research, a numerical investigation has been performed to study the laminar natural conve... more In this research, a numerical investigation has been performed to study the laminar natural convection inside a skewed cavity filled with non-Newtonian power-law (shear-thinning) fluid using the finite volume method with a collocated grid arrangement. The non-dimensional form of the governing equations which include the equation of continuity, Navier- Stokes equations, and energy equation has been transformed to Cartesian curvilinear coordinates to deal with non-orthogonal grids. The in-house code which is written in FORTRAN programming language is first validated against existing published results, shows an excellent agreement. The study has been conducted for a wide range of Rayleigh number (Ra) and a fixed value of Prandtl number (Pr) and power-law index (n). The obtained results are presented regarding isotherms, streamlines, velocity, and temperature profiles as well as the rate of heat transfer for shear thinning fluids
International Journal of Computer Mathematics, 2020
In this paper, laminar flow of non-Newtonian (Bingham) fluid is studied numerically in a two-dime... more In this paper, laminar flow of non-Newtonian (Bingham) fluid is studied numerically in a two-dimensional lid-driven skewed cavity that incorporates Papanastasiou exponential regularization approach of Bingham constitutive model [Papanastasiou, Flows of materials with yield, J. Rheol. 31 (1987), pp. 385-404]. Numerical simulation has been done using the finite-volume method with collocated grid arrangement. The governing equations including continuity and momentum are initially non-dimensionalized using appropriate transformation. To simulate irregular shape cavity flow problem, body-fitted non-orthogonal grids are used, and governing equations have been transformed to generalized curvi-linear coordinates. In this study, two dimensionless parameters namely, Reynolds number and Bingham number are considered. A wide range of skew angles are considered which comprises both acute and obtuse angles. The obtained results are presented in terms of velocity and streamlines with yielded/unyielded region for different values of Bingham number and Reynolds number having different angles of the skewed cavity. The present results may be serve as benchmark results for comparison purpose in the case of non-Newtonian (Bingham) fluid flow. ARTICLE HISTORY
The effect of temperature dependent viscosity μ(T), on steady two-dimensional natural convection ... more The effect of temperature dependent viscosity μ(T), on steady two-dimensional natural convection flow along a vertical wavy cone with uniform surface heat flux, has been investigated numerically. Viscosity is considered to be a linear function of temperature T. Using the appropriate variables, the Navier-Stokes and energy equations are transformed into non-dimensional boundary layer equations and then solved numerically employing marching order implicit finite difference method with double sweep technique. The effects of viscosity variation parameter on the velocity profile, temperature profile, velocity vector field, skin friction coefficient, average Nusselt number, streamlines, and isotherm have been discussed by graphical representation.
Abstract In this paper, the effect of temperature dependent thermal conductivity on natural conve... more Abstract In this paper, the effect of temperature dependent thermal conductivity on natural convection flow of viscous incompressible fluid along a uniformly heated vertical wavy surface with heat generation has been investigated. The governing boundary layer ...
Proceedings of the 13th International Conference on Mechanical Engineering (ICME2019), 2021
The behavior of natural convection laminar flow of Nanofluids over a horizontal circular cylinder... more The behavior of natural convection laminar flow of Nanofluids over a horizontal circular cylinder with uniform surface heat flux has been examined. In this study, Copper-Water (Cu-H2O) nanofluid has been chosen with different volume fractions ranging from 0% to 10%. In the present study, the governing boundary layer equations are converted into a dimensionless form, and the resultant non-dimensional set of equations has been transformed into a parabolic system of partial differential equations by applying a specific set of variables. The set of parabolic equations has been numerically solved using an implicit finite difference method. The outcomes of the numerical simulation have been compared and validated with an excellent agreement with the previously published work. The numerical results have been depicted in terms of the velocity and temperature profiles. Finally, the skin friction coefficient (Cf) and the local Nusselt number (Nu) has been outlined to understand the feature of the wall shear stress and the surface heat transfer rate, respectively.
A study on the natural convection flow of non-Newtonian fluid along a vertical thin cylinder with... more A study on the natural convection flow of non-Newtonian fluid along a vertical thin cylinder with constant wall temperature using modified power law viscosity model has been done. The basic equations are transformed to non dimensional boundary layer equations and the resulting systems of nonlinear partial differential equations are then solved employing marching order implicit finite difference method. The evolution of the surface shear stress in terms of local skin-friction, the rate of heat transfer in terms of local Nusselt number, velocity and temperature profiles for shear thinning as well as shear-thickening fluid considering the different values of Prandtl number have been focused. For the Newtonian fluids the present numerical results are compared with available published results which show a good agreement indeed. From the results it can be concluded that, at the leading edge, a Newtonian–like solution exists as the shear rate is not large enough to trigger non-Newtonian effects. Non-Newtonian effects can be found when the shear-rate increases beyond a threshold value.
Global Journal of Human-Social Science Research, 2013
In this paper our attention is directed towards the discussion of phenomenon of stiffness and tow... more In this paper our attention is directed towards the discussion of phenomenon of stiffness and towards general purpose procedures for the solution of stiff differential equations. Our aim is to identify the problem area and the characteristics of the stiff differential equations for which the equations are distinguishable. Most realistic stiff systems do not have analytical solutions so that a numerical procedure must be used. Computer implementation of such algorithms is widely available e.g. DIFSUB, GEAR, EPISODE etc. The most popular methods for the solution of stiff initial value problems for ordinary differential equations are the backward differentiation formulae (BDFs). In this study we focus on a particularly efficient algorithm which is named as EPISODE, based on variable coefficient backward differentiation formula. Through this study we find that though the method is very efficient it has certain problem area for a new user. All those problem area have been detected and re...
The effect of temperature dependent viscosity μ(T), on steady two-dimensional natural convection ... more The effect of temperature dependent viscosity μ(T), on steady two-dimensional natural convection flow along a vertical wavy cone with uniform surface heat flux, has been investigated numerically. Viscosity is considered to be a linear function of temperature T. Using the appropriate variables, the Navier-Stokes and energy equations are transformed into non-dimensional boundary layer equations and then solved numerically employing marching order implicit finite difference method with double sweep technique. The effects of viscosity variation parameter on the velocity profile, temperature profile, velocity vector field, skin friction coefficient, average Nusselt number, streamlines, and isotherm have been discussed by graphical representation.
The present paper aims to study of non-Newtonian fluid flow behaviors in a two-dimensional bifurc... more The present paper aims to study of non-Newtonian fluid flow behaviors in a two-dimensional bifurcated channel using lattice-Boltzmann method (LBM). In this LBM, well known D2Q9 model, and the single-relaxation-time (SRT) called the Lattice-BGK (Bhatnagar-Gross-Krook) approach has been adopted. In a bifurcated channel, the flow patterns are analogous to blood flows in branched arteries. Firstly, the code is validated by comparing the available published results for the Newtonian fluid flows in a channel with T-junction. The numerical results are simulated for the Reynolds number Re = 300, power-law index n = 0.5, 1.0 and 1.5, and the outlet flow rate ratio β. The effects of this relevant parameter on the streamlines, velocity distribution, recirculation zones as well as wall shear stress will be discussed to analyze the hemodynamic of blood flows near arterial bifurcations.
This study conducts a numerical simulation of mixed (combined) convective non‐Newtonian fluid flo... more This study conducts a numerical simulation of mixed (combined) convective non‐Newtonian fluid flow inside a two‐dimensional cavity (skewed) having a moving lid. The upper and bottom extremities of the cavity with different temperatures and two insulated side walls cause natural convection. Moreover, the forced convection is maintained by the motion of the lid with constant velocity. The governing equations are nondimensionalized with appropriate transformations and then transformed into curvilinear coordinates. A finite volume numerical procedure with a collocated grid arrangement is used to solve these equations. Comparisons with previously reported results are carried out, which shows an excellent agreement. Non‐Newtonian behaviors such as pseudo‐ plastic (shear‐thinning) and dilatant (shear‐thickening) are considered using the power‐law model, and thus the power‐law index is chosen accordingly. A wide range of the governing dimensionless parameters which affect the mixed convecti...
A modified power-law (MPL) viscosity model of non-Newtonian fluid flow has been used for the mult... more A modified power-law (MPL) viscosity model of non-Newtonian fluid flow has been used for the multiple-relaxation-time (MRT) lattice Boltzmann methods (LBM) and then validated with the benchmark problems using the graphics process unit (GPU) parallel computing via Compute Unified Device Architecture (CUDA) C platform. The MPL model for characterizing the non-Newtonian behavior is an empirical correlation that considers the Newtonian behavior of a non-Newtonian fluid at a very low and high shear rate. A new time unit parameter (λ) governing the flow has been identified, and this parameter is the consequence of the induced length scale introduced by the power law. The MPL model is free from any singularities due to the very low or even zero shear-rate. The proposed MPL model was first validated for the benchmark study of the lid-driven cavity and channel flows. The model was then applied for shear-thinning and shear-thickening fluid flows through a backward-facing step with relatively ...
The laminar flow of viscoplastic fluids inside a lid-driven skewed cavity has been investigated u... more The laminar flow of viscoplastic fluids inside a lid-driven skewed cavity has been investigated using a numerical scheme based on finite volume method considering Bingham model. Viscoplasticity is characterized by a yield stress, below which the materials behave as solids, and above which they deform and flow according to different constitutive relations. The governing two dimensional unsteady incompressible Navier-Stokes equations were initially non-dimensionalized using appropriate transformation. Then the dimensionless form of these equations is transformed to curvilinear coordinates to simulate complex geometry. The transformed equations are then discretized with appropriate boundary conditions to deal with the non-orthogonal grids. The code is first validated against the existing benchmark results for two-dimensional lid driven square cavity problem considering both Newtonian and non-Newtonian fluids. Then the code is applied to the skewed cavity problem involving non-Newtonian fluid which can be described by the Bingham model. The constitutive equation is regularized as proposed by Papanastasiou [1]. Moreover, grid independence test has been performed for a skewed cavity for different values of Bingham numbers. Reynolds number and Bingham number are two important parameters which can describe the flow behavior of Bingham fluid in the skewed cavity. In this research, the skewness of the geometry has been changed by changing the skew angle. The consequent numerical results are presented in terms of the velocity and streamlines for the different values of Bingham numbers having a different angle of a skewed cavity.The laminar flow of viscoplastic fluids inside a lid-driven skewed cavity has been investigated using a numerical scheme based on finite volume method considering Bingham model. Viscoplasticity is characterized by a yield stress, below which the materials behave as solids, and above which they deform and flow according to different constitutive relations. The governing two dimensional unsteady incompressible Navier-Stokes equations were initially non-dimensionalized using appropriate transformation. Then the dimensionless form of these equations is transformed to curvilinear coordinates to simulate complex geometry. The transformed equations are then discretized with appropriate boundary conditions to deal with the non-orthogonal grids. The code is first validated against the existing benchmark results for two-dimensional lid driven square cavity problem considering both Newtonian and non-Newtonian fluids. Then the code is applied to the skewed cavity problem involving non-Newtonian fluid which can be des...
International Journal of Applied and Computational Mathematics
Non-Newtonian laminar fluid flow in a lid-driven skewed cavity has been studied numerically using... more Non-Newtonian laminar fluid flow in a lid-driven skewed cavity has been studied numerically using power-law viscosity model. The governing two-dimensional unsteady incompressible Navier-Stokes equations were initially non-dimensionalized using appropriate transformation , and then the dimensionless form is transformed to generalized curvilinear coordinates to simulate complex geometry. The transformed equations are discretized using finite volume method with the collocated grid arrangement. The code is first validated against the existing benchmark results for two-dimensional lid-driven square cavity problem considering both Newtonian and non-Newtonian fluids. The validation has also been carried out for a lid-driven skewed cavity in the case of a Newtonian fluid. Then the code is applied to the skewed cavity problem involving non-Newtonian fluid flow which can be described by the power-law viscosity model. Moreover, grid independence test has been performed for a skewed cavity for different values of power-law index. In the present case, the skewness of the geometry has been changed by changing the skew angle for both shear-thinning and shear-thickening fluids. The consequent numerical results are presented in terms of the velocity as well as streamlines for the different values of the power-law index n = 0.5, 1 and 1.5, Reynolds number Re = 100, 200, 300 and 500 as well as for the different angles of the skewed cavity (α = 15 • to 165 •). Keywords Curvilinear coordinates · Non-orthogonal grid · Non-Newtonian fluid flow · Skewed cavity · Power-law model · Finite volume method List of Symbols A i j Cofactors of the Jacobian matrix D Non-dimensional fluid viscosity J Jacobian matrix B Md. Mamun Molla
In this research, a numerical investigation has been performed to study the laminar natural conve... more In this research, a numerical investigation has been performed to study the laminar natural convection inside a skewed cavity filled with non-Newtonian power-law (shear-thinning) fluid using the finite volume method with a collocated grid arrangement. The non-dimensional form of the governing equations which include the equation of continuity, Navier- Stokes equations, and energy equation has been transformed to Cartesian curvilinear coordinates to deal with non-orthogonal grids. The in-house code which is written in FORTRAN programming language is first validated against existing published results, shows an excellent agreement. The study has been conducted for a wide range of Rayleigh number (Ra) and a fixed value of Prandtl number (Pr) and power-law index (n). The obtained results are presented regarding isotherms, streamlines, velocity, and temperature profiles as well as the rate of heat transfer for shear thinning fluids
International Journal of Computer Mathematics, 2020
In this paper, laminar flow of non-Newtonian (Bingham) fluid is studied numerically in a two-dime... more In this paper, laminar flow of non-Newtonian (Bingham) fluid is studied numerically in a two-dimensional lid-driven skewed cavity that incorporates Papanastasiou exponential regularization approach of Bingham constitutive model [Papanastasiou, Flows of materials with yield, J. Rheol. 31 (1987), pp. 385-404]. Numerical simulation has been done using the finite-volume method with collocated grid arrangement. The governing equations including continuity and momentum are initially non-dimensionalized using appropriate transformation. To simulate irregular shape cavity flow problem, body-fitted non-orthogonal grids are used, and governing equations have been transformed to generalized curvi-linear coordinates. In this study, two dimensionless parameters namely, Reynolds number and Bingham number are considered. A wide range of skew angles are considered which comprises both acute and obtuse angles. The obtained results are presented in terms of velocity and streamlines with yielded/unyielded region for different values of Bingham number and Reynolds number having different angles of the skewed cavity. The present results may be serve as benchmark results for comparison purpose in the case of non-Newtonian (Bingham) fluid flow. ARTICLE HISTORY
The effect of temperature dependent viscosity μ(T), on steady two-dimensional natural convection ... more The effect of temperature dependent viscosity μ(T), on steady two-dimensional natural convection flow along a vertical wavy cone with uniform surface heat flux, has been investigated numerically. Viscosity is considered to be a linear function of temperature T. Using the appropriate variables, the Navier-Stokes and energy equations are transformed into non-dimensional boundary layer equations and then solved numerically employing marching order implicit finite difference method with double sweep technique. The effects of viscosity variation parameter on the velocity profile, temperature profile, velocity vector field, skin friction coefficient, average Nusselt number, streamlines, and isotherm have been discussed by graphical representation.
Abstract In this paper, the effect of temperature dependent thermal conductivity on natural conve... more Abstract In this paper, the effect of temperature dependent thermal conductivity on natural convection flow of viscous incompressible fluid along a uniformly heated vertical wavy surface with heat generation has been investigated. The governing boundary layer ...
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Papers by sharaban thohura
skewed cavity filled with non-Newtonian power-law (shear-thinning) fluid using the finite volume method with a collocated
grid arrangement. The non-dimensional form of the governing equations which include the equation of continuity, Navier-
Stokes equations, and energy equation has been transformed to Cartesian curvilinear coordinates to deal with non-orthogonal
grids. The in-house code which is written in FORTRAN programming language is first validated against existing published
results, shows an excellent agreement. The study has been conducted for a wide range of Rayleigh number (Ra) and a fixed
value of Prandtl number (Pr) and power-law index (n). The obtained results are presented regarding isotherms, streamlines,
velocity, and temperature profiles as well as the rate of heat transfer for shear thinning fluids
skewed cavity filled with non-Newtonian power-law (shear-thinning) fluid using the finite volume method with a collocated
grid arrangement. The non-dimensional form of the governing equations which include the equation of continuity, Navier-
Stokes equations, and energy equation has been transformed to Cartesian curvilinear coordinates to deal with non-orthogonal
grids. The in-house code which is written in FORTRAN programming language is first validated against existing published
results, shows an excellent agreement. The study has been conducted for a wide range of Rayleigh number (Ra) and a fixed
value of Prandtl number (Pr) and power-law index (n). The obtained results are presented regarding isotherms, streamlines,
velocity, and temperature profiles as well as the rate of heat transfer for shear thinning fluids