Micro-magneto-rotation effects in magnetohydrodynamic two-phase blood flow through a porous layered artery

Abstract

This study investigates the effect of micro-magneto-rotation (MMR) on magnetohydrodynamic (MHD) two-phase blood flow through a porous layered artery using a four-layer analytical model. To account for the rheological characteristics of blood, the core region is modelled as a micropolar fluid, while the peripheral region is represented by a Newtonian fluid. The arterial wall is modelled as a thin Brinkman porous layer followed by a Darcy porous layer with different permeabilities. Incorporating the MMR effect is important because the magnetization of a micropolar fluid is influenced by its anisotropic microstructure; however, this effect has been neglected in many previous studies by assuming the magnetization vector to be aligned with the applied magnetic field. Analytical solutions for velocity, micro-rotation, and effective total interfacial shear are obtained in terms of modified Bessel functions. The influence of MMR and various governing parameters on the flow characteristics is analysed graphically. The results suggests that the micro-magneto-rotation mechanism introduces an additional magnetic damping effect, leading to a significant reduction in both velocity and micro-rotation, similar to the action of the Lorentz force. Furthermore, the permeability contrast between the Brinkman and Darcy porous layers substantially affects momentum transport and effective total interfacial shear. From the results obtained, it can be inferred that MMR might prove to be significant while studying magnetized micropolar fluids with magnetic particles subjected to external magnetic fields.