Theoretical Analysis of MHD Williamson Flow Across a Rotating Inclined Surface

Abstract

The desire to enhance transfer of mass and heat across rotating plates during industrial processes
has increased recently. This study considers the flow of Williamson fluid due to its ability to exhibit
pseudo-plastic nature while admitting shear-thinning properties. This study theoretically examines
the effect of rotation, and angle of plate inclination on MHD flow of Williamson fluid. The flow is
modelled as a system of PDEs formulated by including Coriolis force and angle of inclination in the
Navier-Stokes equation. The system is reduced using similarity transformation and the solution is
obtained using MATLAB bvp4c that executes the three-stage Lobato IIIa finite difference method.
The results are displayed as graphs and flow velocity shows a direct proportional relationship
with the rotation but inversely proportional to Prandtl number, MF strength, inclination angle, and
Williamson parameter. The local skin friction reduces at the rate -0.8052 as the rotation increases.
Heat and mass transfer rates can be enhanced by increasing rotation and decreasing MF strength.