Subhas Abel - Academia.edu (original) (raw)
Papers by Subhas Abel
Communications in Nonlinear Science and Numerical Simulation, 2008
... layer flow (Dandapat and Mukhopadhyay [21]). The electric field View the MathML source and ma... more ... layer flow (Dandapat and Mukhopadhyay [21]). The electric field View the MathML source and magnetic field View the MathML source satisfy the following MHD equations. ... Fig. 1. Boundary layer over an impermeable linear stretching sheet. View Within Article. 3.1. Maxwell's ...
Advances in Physics Theories and Applications, 2016
In this paper we investigate the analytical solution for MHD flow and heat transfer of electrical... more In this paper we investigate the analytical solution for MHD flow and heat transfer of electrically conducting fluid due to vertical starching surface. Here the diffusion thermo (Dufour) and thermal diffusion (Soret) effects are considered. It is shown that the porosity, magnetic, convection, concentrationand buoyancy effects can be combined with a new parameter called porous- magneto-convection-concentration parameters .The effect of physical parameter influencing the flow and heat transfer are studied and results are plotted and discussed. Keywords : Heat Transfer, Porous-Magneto-Convection-Concentration parameter, Buoyancy, Soret, Dufour, Lewis;
arXiv: Fluid Dynamics, 2016
In this paper we present a mathematical analysis of thin film flow and heat transfer to a laminar... more In this paper we present a mathematical analysis of thin film flow and heat transfer to a laminar liquid film from a horizontal stretching sheet. The flow of thin liquid film and subsequent heat transfer from the stretching surface is investigated with the aid of similarity transformations. Similarity transformations are used to convert unsteady boundary layer equations to a system of non-linear ordinary differential equations. The resulting non-linear differential equations are solved numerically using Runge-kutta-Fehlberg and Newton-Raphson schemes. A relationship between film thickness beta\betabeta and the unsteadiness parameter SSS is found, the effect of unsteadiness parameter SSS, and the Prandtl number PrPrPr, Magnetic field parameter MnMnMn, Radiation parameter NrNrNr and viscous dissipation parameter EcEcEc and heat source parameter gamma\gammagamma on the temperature distributions are presented and discussed in detail. Present analysis shows that the combined effect of magnetic field, thermal ...
A numerical model is developed to study nanoliquid film flow over an unsteady stretching sheet in... more A numerical model is developed to study nanoliquid film flow over an unsteady stretching sheet in presence of hydromagnetic have been investigated. Similarity transformations are used to convert unsteady boundary layer equations to a system of non-linear ordinary differential equations. The resulting non-linear ordinary differential equations are solved numerically using Runge-kutta-Fehlberg and Newton-Raphson schemes. A relationship between film thickness β and the unsteadiness parameter S is found, the effect of unsteadiness parameter S, and the hydromagnetic parameter M , on the velocity and temperature distributions are presented. Present analysis shows that the combined effect of hydromagnetic field and viscous dissipation has a significant influence in controlling the dynamics of the considered problem. Comparison with known results for certain particular cases is in excellent agreement. MSC: 76A20 • 76D10 • 76W05 • 80A20 • 82D80
International Journal of Non-Linear Mechanics, 2002
This paper deals with the study of boundary layer #ow and heat transfer of a visco-elastic #uid i... more This paper deals with the study of boundary layer #ow and heat transfer of a visco-elastic #uid immersed in a porous medium over a non-isothermal stretching sheet. The #uid viscosity is assumed to vary as a function of temperature. The presence of variable viscosity of the #uid leads to the coupling and the non-linearity in the boundary value problem. A numerical shooting algorithm for two unknown initial conditions with fourth-order Runge}Kutta integration scheme has been used to solve the coupled non-linear boundary value problem. An analysis has been carried out for two di!erent cases namely (1) prescribed surface temperature (PST), and (2) prescribed heat #ux (PHF), to get the e!ect of #uid viscosity, permeability parameter and visco-elastic parameter for various situations. The important "nding of our study is that the e!ect of #uid viscosity parameter is to decrease the wall temperature pro"le signi"cantly when #ow is through a porous medium. Further, the e!ect of permeability parameter is to decrease the skin friction on the sheet. 2001 Elsevier Science Ltd. All rights reserved.
Journal of Nanofluids, 2017
International Journal of Numerical Methods for Heat & Fluid Flow, 2001
Presents a numerical solution of the two‐dimensional laminar boundary layer problem on free and f... more Presents a numerical solution of the two‐dimensional laminar boundary layer problem on free and forced convection of an incompressible visco‐elastic fluid immersed in a porous medium over a stretching sheet. Here, the driving force for the flow is provided by an impermeable sheet stretched with a velocity proportional to the distance from a slit and buoyancy effects due to both temperature and concentration gradients. The resultant governing boundary layer equations are highly non‐linear and coupled form of partial differential equations, and they have been solved by employing a numerical shooting technique with fourth order Runge‐Kutta integration scheme. Numerical computations are carried out for the non‐dimensional physical parameters. The results are analyzed for the effect of different physical parameters like visco‐elasticity, permeability of the porous medium, Grashof number, Schmidt number and Prandtl number on the flow, heat and mass transfer characteristics. One of the sev...
International Journal of Non-Linear Mechanics, 2009
Journal of Porous Media, 2000
International Journal of Non-Linear Mechanics, 2009
An analysis has been carried out to study the magnetohydrodynamic boundary layer flow and heat tr... more An analysis has been carried out to study the magnetohydrodynamic boundary layer flow and heat transfer characteristics of a laminar liquid film over a flat impermeable stretching sheet in the presence of a non-uniform heat source/sink. The basic unsteady boundary layer equations governing the flow and heat transfer are in the form of partial differential equations. These equations are converted
International Journal of Non-Linear Mechanics, 2003
The in uence of reaction rate on the transfer of chemically reactive species in the laminar visco... more The in uence of reaction rate on the transfer of chemically reactive species in the laminar visco-elastic uid ow immersed in a porous medium over a stretching sheet is considered. The ow is caused solely by the linearly stretching sheet and the reactive species is emitted from this sheet and undergoes an isothermal and homogeneous one-stage reaction as it di uses into the surrounding uid. A similarity transformation is introduced, which reduces the concentration conservation equation to an ordinary di erential equation. An exact analytical solution due to Siddappa and Abel (Z. Angew. Math. Phys. 36 (1985) 890) is adopted for velocity, where as the concentration equation is obtained numerically for higher-order reactions. The numerical computations show that the e ect of destructive chemical reaction is to reduce the thickness of concentration boundary layer and increase the mass transfer rate from the sheet to the surrounding uid. This e ect is more e ective for zero-and ÿrst-order reaction than second-and third-order reactions.
International Journal of Thermal Sciences, 2005
An analysis is performed to study the effect of the Buoyancy force and thermal radiation in MHD b... more An analysis is performed to study the effect of the Buoyancy force and thermal radiation in MHD boundary layer visco-elastic fluid flow over continuously moving stretching surface embedded in a porous medium. The following cases of surface conditions are studied ...
International Journal of Thermal Sciences, 2012
The superscaling properties of electron scattering data are used to extract model-independent pre... more The superscaling properties of electron scattering data are used to extract model-independent predictions for neutrino-nucleus cross sections.
International Journal of Heat and Mass Transfer, 2010
International Journal of Heat and Mass Transfer, 2009
In this paper the flow of a power-law fluid due to a linearly stretching sheet and heat transfer ... more In this paper the flow of a power-law fluid due to a linearly stretching sheet and heat transfer characteristics using variable thermal conductivity is studied in the presence of a non-uniform heat source/sink. The thermal conductivity is assumed to vary as a linear function of temperature. The similarity transformation is used to convert the governing partial differential equations of flow and heat transfer into a set of non-linear ordinary differential equations. The Keller box method is used to find the solution of the boundary value problem. The effect of power-law index, Chandrasekhar number, Prandtl number, non-uniform heat source/sink parameters and variable thermal conductivity parameter on the dynamics is analyzed. The skin friction and heat transfer coefficients are tabulated for a range of values of said parameters.
International Journal of Heat and Mass Transfer, 2011
In this paper we study the flow and heat transfer characteristics of a viscous fluid over a nonli... more In this paper we study the flow and heat transfer characteristics of a viscous fluid over a nonlinearly stretching sheet in the presence of non-uniform heat source and variable wall temperature. A similarity transformation is used to transform the governing partial differential equations to a system of nonlinear ordinary differential equations. An efficient numerical shooting technique with a fourth-order Runge-Kutta scheme is used to obtain the solution of the boundary value problem. The effects of various parameters (such as the power law index , n the Prandtl number Pr, the wall temperature parameter , λ the space dependent heat source parameter * A and the temperature dependent heat source parameter * B) on the heat transfer characteristics are analyzed. The numerical results for the heat transfer coefficient (the Nusselt number) are presented for several sets of values of the parameters and are discussed. The results reveal many interesting behaviors that warrant further study on the effects of non-uniform heat source and the variable wall temperature on the heat transfer phenomena at the nonlinear stretching sheet.
International Journal of Engineering Science, 2004
An analysis has been carried out to study the steady MHD flow and heat transfer in a visco-elasti... more An analysis has been carried out to study the steady MHD flow and heat transfer in a visco-elastic fluid flow over a semi-infinite, impermeable, non-isothermal stretching sheet with internal heat generation/absorption by the presence of radiation. Thermal conductivity is assumed to vary linearly with temperature. The governing partial differential equations are converted into ordinary differential equations by a similarity transformation.
International Journal of Applied Mechanics and Engineering, 2013
In the present paper, a viscoelastic boundary layer flow and heat transfer over an exponentially ... more In the present paper, a viscoelastic boundary layer flow and heat transfer over an exponentially stretching continuous sheet in the presence of a heat source/sink has been examined. Loss of energy due to viscous dissipation of the non-Newtonian fluid has been taken into account in this study. Approximate analytical local similar solutions of the highly non-linear momentum equation are obtained for velocity distribution by transforming the equation into Riccati-type and then solving this sequentially. Accuracy of the zero-order analytical solutions for the stream function and velocity are verified by numerical solutions obtained by employing the Runge-Kutta fourth order method involving shooting. Similarity solutions of the temperature equation for non-isothermal boundary conditions are obtained in the form of confluent hypergeometric functions. The effect of various physical parameters on the local skin-friction coefficient and heat transfer characteristics are discussed in detail. ...
Communications in Nonlinear Science and Numerical Simulation, 2008
... layer flow (Dandapat and Mukhopadhyay [21]). The electric field View the MathML source and ma... more ... layer flow (Dandapat and Mukhopadhyay [21]). The electric field View the MathML source and magnetic field View the MathML source satisfy the following MHD equations. ... Fig. 1. Boundary layer over an impermeable linear stretching sheet. View Within Article. 3.1. Maxwell's ...
Advances in Physics Theories and Applications, 2016
In this paper we investigate the analytical solution for MHD flow and heat transfer of electrical... more In this paper we investigate the analytical solution for MHD flow and heat transfer of electrically conducting fluid due to vertical starching surface. Here the diffusion thermo (Dufour) and thermal diffusion (Soret) effects are considered. It is shown that the porosity, magnetic, convection, concentrationand buoyancy effects can be combined with a new parameter called porous- magneto-convection-concentration parameters .The effect of physical parameter influencing the flow and heat transfer are studied and results are plotted and discussed. Keywords : Heat Transfer, Porous-Magneto-Convection-Concentration parameter, Buoyancy, Soret, Dufour, Lewis;
arXiv: Fluid Dynamics, 2016
In this paper we present a mathematical analysis of thin film flow and heat transfer to a laminar... more In this paper we present a mathematical analysis of thin film flow and heat transfer to a laminar liquid film from a horizontal stretching sheet. The flow of thin liquid film and subsequent heat transfer from the stretching surface is investigated with the aid of similarity transformations. Similarity transformations are used to convert unsteady boundary layer equations to a system of non-linear ordinary differential equations. The resulting non-linear differential equations are solved numerically using Runge-kutta-Fehlberg and Newton-Raphson schemes. A relationship between film thickness beta\betabeta and the unsteadiness parameter SSS is found, the effect of unsteadiness parameter SSS, and the Prandtl number PrPrPr, Magnetic field parameter MnMnMn, Radiation parameter NrNrNr and viscous dissipation parameter EcEcEc and heat source parameter gamma\gammagamma on the temperature distributions are presented and discussed in detail. Present analysis shows that the combined effect of magnetic field, thermal ...
A numerical model is developed to study nanoliquid film flow over an unsteady stretching sheet in... more A numerical model is developed to study nanoliquid film flow over an unsteady stretching sheet in presence of hydromagnetic have been investigated. Similarity transformations are used to convert unsteady boundary layer equations to a system of non-linear ordinary differential equations. The resulting non-linear ordinary differential equations are solved numerically using Runge-kutta-Fehlberg and Newton-Raphson schemes. A relationship between film thickness β and the unsteadiness parameter S is found, the effect of unsteadiness parameter S, and the hydromagnetic parameter M , on the velocity and temperature distributions are presented. Present analysis shows that the combined effect of hydromagnetic field and viscous dissipation has a significant influence in controlling the dynamics of the considered problem. Comparison with known results for certain particular cases is in excellent agreement. MSC: 76A20 • 76D10 • 76W05 • 80A20 • 82D80
International Journal of Non-Linear Mechanics, 2002
This paper deals with the study of boundary layer #ow and heat transfer of a visco-elastic #uid i... more This paper deals with the study of boundary layer #ow and heat transfer of a visco-elastic #uid immersed in a porous medium over a non-isothermal stretching sheet. The #uid viscosity is assumed to vary as a function of temperature. The presence of variable viscosity of the #uid leads to the coupling and the non-linearity in the boundary value problem. A numerical shooting algorithm for two unknown initial conditions with fourth-order Runge}Kutta integration scheme has been used to solve the coupled non-linear boundary value problem. An analysis has been carried out for two di!erent cases namely (1) prescribed surface temperature (PST), and (2) prescribed heat #ux (PHF), to get the e!ect of #uid viscosity, permeability parameter and visco-elastic parameter for various situations. The important "nding of our study is that the e!ect of #uid viscosity parameter is to decrease the wall temperature pro"le signi"cantly when #ow is through a porous medium. Further, the e!ect of permeability parameter is to decrease the skin friction on the sheet. 2001 Elsevier Science Ltd. All rights reserved.
Journal of Nanofluids, 2017
International Journal of Numerical Methods for Heat & Fluid Flow, 2001
Presents a numerical solution of the two‐dimensional laminar boundary layer problem on free and f... more Presents a numerical solution of the two‐dimensional laminar boundary layer problem on free and forced convection of an incompressible visco‐elastic fluid immersed in a porous medium over a stretching sheet. Here, the driving force for the flow is provided by an impermeable sheet stretched with a velocity proportional to the distance from a slit and buoyancy effects due to both temperature and concentration gradients. The resultant governing boundary layer equations are highly non‐linear and coupled form of partial differential equations, and they have been solved by employing a numerical shooting technique with fourth order Runge‐Kutta integration scheme. Numerical computations are carried out for the non‐dimensional physical parameters. The results are analyzed for the effect of different physical parameters like visco‐elasticity, permeability of the porous medium, Grashof number, Schmidt number and Prandtl number on the flow, heat and mass transfer characteristics. One of the sev...
International Journal of Non-Linear Mechanics, 2009
Journal of Porous Media, 2000
International Journal of Non-Linear Mechanics, 2009
An analysis has been carried out to study the magnetohydrodynamic boundary layer flow and heat tr... more An analysis has been carried out to study the magnetohydrodynamic boundary layer flow and heat transfer characteristics of a laminar liquid film over a flat impermeable stretching sheet in the presence of a non-uniform heat source/sink. The basic unsteady boundary layer equations governing the flow and heat transfer are in the form of partial differential equations. These equations are converted
International Journal of Non-Linear Mechanics, 2003
The in uence of reaction rate on the transfer of chemically reactive species in the laminar visco... more The in uence of reaction rate on the transfer of chemically reactive species in the laminar visco-elastic uid ow immersed in a porous medium over a stretching sheet is considered. The ow is caused solely by the linearly stretching sheet and the reactive species is emitted from this sheet and undergoes an isothermal and homogeneous one-stage reaction as it di uses into the surrounding uid. A similarity transformation is introduced, which reduces the concentration conservation equation to an ordinary di erential equation. An exact analytical solution due to Siddappa and Abel (Z. Angew. Math. Phys. 36 (1985) 890) is adopted for velocity, where as the concentration equation is obtained numerically for higher-order reactions. The numerical computations show that the e ect of destructive chemical reaction is to reduce the thickness of concentration boundary layer and increase the mass transfer rate from the sheet to the surrounding uid. This e ect is more e ective for zero-and ÿrst-order reaction than second-and third-order reactions.
International Journal of Thermal Sciences, 2005
An analysis is performed to study the effect of the Buoyancy force and thermal radiation in MHD b... more An analysis is performed to study the effect of the Buoyancy force and thermal radiation in MHD boundary layer visco-elastic fluid flow over continuously moving stretching surface embedded in a porous medium. The following cases of surface conditions are studied ...
International Journal of Thermal Sciences, 2012
The superscaling properties of electron scattering data are used to extract model-independent pre... more The superscaling properties of electron scattering data are used to extract model-independent predictions for neutrino-nucleus cross sections.
International Journal of Heat and Mass Transfer, 2010
International Journal of Heat and Mass Transfer, 2009
In this paper the flow of a power-law fluid due to a linearly stretching sheet and heat transfer ... more In this paper the flow of a power-law fluid due to a linearly stretching sheet and heat transfer characteristics using variable thermal conductivity is studied in the presence of a non-uniform heat source/sink. The thermal conductivity is assumed to vary as a linear function of temperature. The similarity transformation is used to convert the governing partial differential equations of flow and heat transfer into a set of non-linear ordinary differential equations. The Keller box method is used to find the solution of the boundary value problem. The effect of power-law index, Chandrasekhar number, Prandtl number, non-uniform heat source/sink parameters and variable thermal conductivity parameter on the dynamics is analyzed. The skin friction and heat transfer coefficients are tabulated for a range of values of said parameters.
International Journal of Heat and Mass Transfer, 2011
In this paper we study the flow and heat transfer characteristics of a viscous fluid over a nonli... more In this paper we study the flow and heat transfer characteristics of a viscous fluid over a nonlinearly stretching sheet in the presence of non-uniform heat source and variable wall temperature. A similarity transformation is used to transform the governing partial differential equations to a system of nonlinear ordinary differential equations. An efficient numerical shooting technique with a fourth-order Runge-Kutta scheme is used to obtain the solution of the boundary value problem. The effects of various parameters (such as the power law index , n the Prandtl number Pr, the wall temperature parameter , λ the space dependent heat source parameter * A and the temperature dependent heat source parameter * B) on the heat transfer characteristics are analyzed. The numerical results for the heat transfer coefficient (the Nusselt number) are presented for several sets of values of the parameters and are discussed. The results reveal many interesting behaviors that warrant further study on the effects of non-uniform heat source and the variable wall temperature on the heat transfer phenomena at the nonlinear stretching sheet.
International Journal of Engineering Science, 2004
An analysis has been carried out to study the steady MHD flow and heat transfer in a visco-elasti... more An analysis has been carried out to study the steady MHD flow and heat transfer in a visco-elastic fluid flow over a semi-infinite, impermeable, non-isothermal stretching sheet with internal heat generation/absorption by the presence of radiation. Thermal conductivity is assumed to vary linearly with temperature. The governing partial differential equations are converted into ordinary differential equations by a similarity transformation.
International Journal of Applied Mechanics and Engineering, 2013
In the present paper, a viscoelastic boundary layer flow and heat transfer over an exponentially ... more In the present paper, a viscoelastic boundary layer flow and heat transfer over an exponentially stretching continuous sheet in the presence of a heat source/sink has been examined. Loss of energy due to viscous dissipation of the non-Newtonian fluid has been taken into account in this study. Approximate analytical local similar solutions of the highly non-linear momentum equation are obtained for velocity distribution by transforming the equation into Riccati-type and then solving this sequentially. Accuracy of the zero-order analytical solutions for the stream function and velocity are verified by numerical solutions obtained by employing the Runge-Kutta fourth order method involving shooting. Similarity solutions of the temperature equation for non-isothermal boundary conditions are obtained in the form of confluent hypergeometric functions. The effect of various physical parameters on the local skin-friction coefficient and heat transfer characteristics are discussed in detail. ...