Chebyshev finite difference method for the effects of variable viscosity and variable thermal conductivity on heat transfer from moving surfaces with radiation

Abstract

In this article, we studied the effects of variable viscosity and variable thermal conductivity on heat transfer from moving surfaces in a micropolar fluid through a porous medium with radiation. The fluid viscosity is assumed to vary as an inverse linear function of temperature and the thermal conductivity is assumed to vary as a linear function of temperature. The governing fundamental equations are approximated by a system of nonlinear ordinary differential equations and are solved numerically by using Chebyshev finite difference method (ChFD). Numerical solutions are obtained for different values of variable viscosity, variable thermal conductivity, porous medium, radiation, velocity ratio and micropolar parameters. Two cases are considered, one corresponding to a plane surface moving in parallel with the free stream and the other, a surface moving in the opposite direction to the free stream. The numerical results show that, variable viscosity, variable thermal conductivity, radiation and the permeability have significant influences on the velocity, the angular velocity and temperature profiles, shear stress, couple stress and Nusselt number in the above two cases.