A numerical study of rotating Bödewadt flow of micropolar fluid over porous disk

Abstract

Micropolar fluids are microstructure fluids that represent liquids consisting of rigid, randomly oriented particles suspended in a viscous medium, ignoring the deformation of the fluid particles. The present paper treats steady micropolar fluid flow over a permeable stationary disk numerically. It is supposed that the three-dimensional Bödewadt flow with stabilized radial pressure gradient rotates about [Formula: see text] having consistent angular velocity [Formula: see text]. The developed flow model contains a suction and micro-rotational parameter. Governing equations representing steadily rotating micropolar fluid, are presented before being transformed into non-dimensional forms. The numerical solutions are verified with the bvp4c package based on the Lobatto IIIa formula. This collocation technique uses a mesh of points to divide the integration interval into subintervals. A numerical solution is determined by solving a system of differential equations resulting from the boundary conditions. Finally, the collocation conditions are imposed on all the subintervals. In this paper, the contribution of micro-rotation on the stationary disk is carefully scrutinized. Furthermore, the impact of varying choices of parameters on radial, axial and tangential velocity profiles are evaluated numerically. The influence of these parameters, following Bödewadt boundary conditions, on temperature profile, are also analyzed.