Oscillatory Magnetohydrodynamic Heat Transfer in Viscous Blood Flow Through the Porous Capillary

ABSTRACT In this study, we have examined the oscillatory magnetohydrodynamic Poiseuille flow of viscous blood in a permeable capillary, considering temperature‐dependent viscosity and oscillating pressure gradient. In this updated study, the Brinkman and energy equations were used and solved by Galerkin's finite element method to investigate the effects of some parameters, such as the suction/injection parameter, the Darcy number, the Prandtl number, and time. The outcomes suggest that more suction increases the blood speed, while injection decreases it. In this case, the blood temperature and velocity are decreased with a higher Prandtl number. The volumetric flow rate is proportional to the Prandtl number but inversely proportional to suction/injection. In addition, the Nusselt number has an opposite relationship over time ‐suction/injection and contrast of the Prandtl number. These insights provide an advanced understanding of blood flow behavior in biodynamic applications, including modeling, hyperthermia, and hemodynamic regulation.