Convective slip flow of rarefied fluids over a wedge with thermal jump and variable transport properties

Abstract

Convective slip flow of slightly rarefied fluids over a wedge with thermal jump and temperature dependent transport properties such as fluid viscosity and thermal conductivity is studied numerically. Due to the appearance of a slip condition at the surface of the boundary no self similar solution can be found. Locally similar solutions are obtained numerically by using the widely used and very robust computer algebra software Maple. The nondimensional velocity, temperature, Prandtl number, hydrodynamic boundary layer thickness, displacement thickness, momentum thickness, and thermal boundary layer thickness are displayed graphically for various values of the pertinent parameters. The results show that strong rarefaction and increased angle of wedge significantly controls the growth of the hydrodynamic and thermal boundary layers thickness, which are found to be lower for the flow of constant fluid properties than for the flow of variable fluid properties.