Stability of Magnetohydrodynamic Micropolar Channel Flow with Thermal Radiation, Internal Heating, and Species Transport

Abstract

This study investigates the transport characteristics and stability of micropolar fluid flow in a channel under the combined effects of thermal radiation, internal heat generation or absorption, and chemical reaction. The governing equations for momentum, microrotation, energy, and species concentration are transformed into a coupled system of nonlinear ordinary differential equations through appropriate similarity transformations and nondimensionalisation. The resulting equations are solved using the collocation weighted residual method showcasing the effects of the Prandtl number, thermal radiation parameter, heat-function parameter, and micropolar parameter under heat-generation and heat-absorption conditions. The results indicate that heat generation enhances the temperature distribution, whereas heat absorption produces the opposite effect. Increasing the thermal radiation parameter reduces the temperature profile within the investigated parameter range. The stability analysis further indicates that variations in thermal radiation and the heat-function parameter influence the predicted onset of instability, while the micropolar parameter exhibits a stabilising tendency under the conditions considered. These findings highlight the coupled influence of thermal transport and fluid microstructure on the behaviour of micropolar channel flow. The study provides a mathematical framework for examining the interaction between thermal effects, species transport, and micropolar characteristics in magnetohydrodynamic flow systems.