Heat and Mass Transfer within MHD Williamson Nanofluid Flow under velocity and thermal slips in Porous Medium: Numerical and Semi-numerical Approach

Abstract

The paper presents numerical and semi-numerical simulations of a double diffusive magnetohydrodynamic boundary layer flow of Williamson nanofluid over a linear stretching surface. The analysis incorporates the combined effects of velocity and thermal slips, porosity, chemical reaction, diffusivity ratio, heat capacity ratio and internal heat source/sink. Using suitable similarity variables the leading partial differential equations are transformed into a self-similar system of coupled nonlinear ordinary differential equations. These equations are solved using the robust Keller box and Haar wavelet collocation methods. Both methods exhibited excellent numerical symmetry with each other as well as the prevailing literature. The influence of involved thermophysical parameters on velocity, temperature and concentration fields is presented through tables and graphs. This analysis reveals that boundary layer thickness reduces due to the rise in slip parameters, while higher Williamson parameter enhances both temperature and concentration profiles, accompanied by a reduction in the skin friction coefficient.