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Pal D.,Visva Bharati University | Mondal H.,Bengal Institute of Technology and Management
International Communications in Heat and Mass Transfer | Year: 2011

A study has been carried out to analyze the effects of variable thermal conductivity, Soret (thermal-diffusion) and Dufour (diffusion-thermo) on MHD non-Darcy mixed convection heat and mass transfer over a non-linear stretching sheet embedded in a saturated porous medium in the presence of thermal radiation, viscous dissipation, non-uniform heat source/sink and first-order chemical reaction. The governing differential equations transform into a set of non-linear coupled ordinary differential equations using similarity analysis. Similarity equations are then solved numerically using shooting algorithm with Runge-Kutta Fehlberg integration scheme over the entire range of physical parameters. A comparison with previously published work has been carried out and the results are found to be in good agreement. Graphical presentation of the local skin-friction coefficient, the local Nusselt number and the local Sherwood number as well as the temperature profiles show interesting features of the physical parameters. © 2010 Elsevier Ltd.


Pal D.,Visva Bharati University | Mondal H.,Bengal Institute of Technology and Management
Physica B: Condensed Matter | Year: 2012

An analysis has been carried out to study the effects of thermal-diffusion and diffusion-thermo on non-Darcian mixed convection heat and mass transfer of an incompressible, electrically conducting fluid over a stretching sheet embedded in a porous medium in the presence of an external magnetic field and non-uniform heat source/sink. Similarity transformations are used to convert highly non-linear partial differential equations into ordinary differential equations. Similarity equations are then solved numerically using shooting algorithm with RungeKuttaFehlberg scheme over the entire range of physical parameters. The effects of various physical parameters on the dimensionless velocity, temperature and concentration profiles are depicted graphically. Present results are compared with previously published work on various special cases of the problem and the results are found to be in very good agreement. Numerical results for local skin-friction, local Nusselt number and local Sherwood number are tabulated for different physical parameters. © 2011 Elsevier B.V. All rights reserved.


Pal D.,Visva Bharati University | Mondal H.,Bengal Institute of Technology and Management
Journal of Magnetism and Magnetic Materials | Year: 2013

The present paper deals with the thermophoresis particle deposition and Soret-Dufour effects on the convective flow, heat and mass transfer characteristics of an incompressible Newtonian electrically conducting fluid having temperature-dependent viscosity over a non-isothermal wedge in the presence of thermal radiation. The governing boundary layer equations are written into a dimensionless form by similarity transformations. The transformed coupled non-linear ordinary differential equations are solved numerically. The effects of various important physical parameters are analyzed in detail. It is found that the skin friction coefficient and the local Sherwood number increase with increase in the values of thermal radiation parameter in the presence of heat generation/absorption whereas reverse effect is seen on the local Nusselt number. © 2012 Elsevier B.V. All rights reserved.


Pal D.,Visva Bharati University | Mondal H.,Bengal Institute of Technology and Management
International Communications in Heat and Mass Transfer | Year: 2012

In this paper we have analyzed the combined effects of magnetic field and convective diffusion of species through a non-Darcy porous medium over a vertical stretching sheet with temperature dependent viscosity and non-uniform heat source/sink. The boundary layer equations are transformed into ordinary differential equations using self-similarity transformation which are then solved numerically using fifth-order Runge-Kutta Fehlberg method with shooting technique for various values of the governing parameters. The effects of electric field parameter, non-uniform heat source/sink parameters and Schmidt number on concentration profiles are analyzed and discussed graphically. Favorable comparisons with previously published work on various special cases of the problem are obtained. © 2012 Elsevier Ltd.


Pal D.,Visva Bharati University | Mondal H.,Bengal Institute of Technology and Management
Meccanica | Year: 2011

A boundary layer analysis is performed to study the influence of thermal radiation and buoyancy force on two-dimensional magnetohydrodynamic flow of an incompressible viscous and electrically conducting fluid over a vertical stretching sheet embedded in a porous medium in the presence of inertia effect. The governing system of partial differential equations is first transformed into system of ordinary differential equations using self-similarity transformation. A special form for magnetic field is chosen to obtain the similarity solution. The transformed boundary layer equations are solved numerically for some important values of the physical parameters. The present results are compared with the previously published papers and the results are found to be in excellent agreement. The important features of the flow, heat and mass transfer characteristics for different values of thermal radiation, porous permeability, magnetic field and buoyancy parameters are analyzed and discussed. The effects of various physical parameters on the skin friction coefficient, local Nusselt number and local Sherwood number are also presented. It is found that increase in the value of thermal radiation parameter R1 increases the skin friction coefficient and Sherwood number whereas reverse trend is seen for the local Nusselt number. © 2010 Springer Science+Business Media B.V.

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