Abstract
This paper investigates the effect of thermal radiation on unsteady convection flow and heat transfer over a vertical permeable stretching surface in porous medium, where the effects of temperature dependent viscosity and thermal conductivity are also considered. By using a similarity transformation, the governing time-dependent boundary layer equations for momentum and thermal energy are first transformed into coupled, non-linear ordinary differential equations with variable coefficients. Numerical solutions to these equations subject to appropriate boundary conditions are obtained by the numerical shooting technique with fourth-fifth order Runge-Kutta scheme. Numerical results show that as viscosity variation parameter increases both the absolute value of the surface friction coefficient and the absolute value of the surface temperature gradient increase whereas the temperature decreases slightly. With the increase of viscosity variation parameter, the velocity decreases near the sheet surface but increases far away from the surface of the sheet in the boundary layer. The increase in permeability parameter leads to the decrease in both the temperature and the absolute value of the surface friction coefficient, and the increase in both the velocity and the absolute value of the surface temperature gradient.
Highlights
Convection and heat transfer in porous medium appear in many disciplines, such as thermal and insulation engineering, geophysics and chemistry
Convective heat transfer of incompressible viscous fluid over a porous wedge embedded in porous medium was investigated by Anbuchezhian et al [4]
Mukhopadhyay and Layek [5] discussed the effect of variable viscosity on the boundary layer flow and heat transfer of a fluid through a porous medium
Summary
Convection and heat transfer in porous medium appear in many disciplines, such as thermal and insulation engineering, geophysics and chemistry. Mukhopadhyay and Layek [5] discussed the effect of variable viscosity on the boundary layer flow and heat transfer of a fluid through a porous medium.
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