Computational Analysis of Transient Magnetohydrodynamic Micropolar Fluid Flow over a Permeable Substrate

The present study delves into the transient phenomenon of a magneto-micropolar fluid configured in a permeable material device. This analysis suits flow in reservoirs, metal casting, and composite manufacturing, petroleum industry, particularly in modelling fluid flow in porous rocks during enhanced oil recovery operations. The understanding of micropolar fluid dynamics in permeable media could be applied to model groundwater flow and contamination remediation strategies. The boundary layer, Boussinesq approximations, and some appropriate assumptions are used to formulate the mathematical model for the present problem. The model consists of the effects of the non-constant thermophysical properties, viscous and Joule heating properties. The highly coupled nonlinear equations are solved numerically using the unconditionally stable Runge-Kutta Fehlberg method and the shooting techniques. The consequence of the numerical analysis is depicted in various graphs and tables for proper deliberation of results. The results indicate a depreciation in the momentum and thermal boundary structures as the transient term enhances. The porosity and the magnetic field parameters cause a decelerating motion but raise the thermal distribution as the material term boosts the fluid flow.