Study of Convective Magnetohydrodynamic Flow of Casson Fluids through a Porous Medium Incorporating the Darcy-Forchheimer Model and Influenced by Prescribed Heat Sources

Abstract

This study investigates the heat and mass transfer properties of a 2D electrically conducting incompressible Casson fluid flowing through a porous medium over a stretching sheet. The analysis considers the effects of a magnetic field, heat generation/absorption, and chemical reactions. The Casson fluid model is employed to describe the non-Newtonian behaviour of the fluid, which is relevant in biomechanics and polymer industries due to its yield stress. A numerical simulation is performed to estimate the flow of a Casson nanofluid over a stretching surface. The governing boundary layer equations are transformed into ordinary differential equations using a stream function formulation and solved numerically using the BVP4C method.

The results show that the non-dimensional parameters significantly affect the energy, concentration, and velocity profiles. The yield stress of the Casson fluid is found to impact the flow resistance, velocity, and temperature profiles, differing from those of Newtonian fluids. Specifically, higher yield stress leads to lower velocity fields and altered thermal profiles.