Flow of viscous incompressible fluid with temperature dependent viscosity and thermal conductivity past a permeable wedge with uniform surface heat flux

Abstract

We consider a steady two-dimensional laminar forced flow and heat transfer of a viscous incompressible fluid having temperature dependent viscosity and thermal conductivity past a wedge with a uniform surface heat flux. The governing equations, reduced to local nonsimilarity boundary layer equations using suitable transformations, have been integrated employing an implicit finite difference method. Perturbation techniques are employed to obtain the solutions near the leading edge as well as far from it. The perturbation solutions are compared with the finite difference solutions and found to be in excellent agreement. The results are presented in terms of local skin friction coefficient and rate of heat transfer for various values of the governing parameters, such as the Prandtl number Pr , the pressure gradient parameter m , the viscosity variation parameter ε and thermal conductivity variation parameter γ , against the local permeability parameter ξ . The effect of variations in ξ , ε and γ on the dimensionless velocity, viscosity and thermal conductivity distributions are also depicted graphically for Pr=0.7 .