Mixed Convection Heat Transfer in Two‐Phase Blood Flow of Dusty Fluid

ABSTRACT

This study examines the unsteady magnetohydrodynamic (MHD) flow of an incompressible, electrically conducting dusty fluid between parallel vertical plates, with direct relevance to biomedical and physiological applications, especially thermoregulation, targeted drug delivery, and transport of particulate‐laden blood. The model simulates microchannel environments inspired by physiology, where suspended particles (dusty phase) represent drug carriers or cellular fragments transported within blood plasma. A transverse magnetic field influences the flow, enabling potential magnetic control strategies for guided drug delivery and thermal regulation in tissues. Temperature gradients across the plates induce buoyancy‐driven motion, while shear stress and time‐dependent inflow disturbances mimic physiological wall interactions and pulsatile blood flow. Numerical results show measurable improvements in velocity compared to previous studies, with maximum percentage changes of 0.00316%, 0.00474%, and 0.00633% at Grashof numbers (4, 6, 8); 0.0042%, 0.00271%, and 0.00291% at Peclet numbers (3, 6, 9); 0.00342%, 0.00414%, and 0.00346% at Reynolds numbers (3, 3.5, 4.5); and 0.007626%, 0.01676%, and 0.08901% at magnetic parameters (1, 4, 5). Similarly, the fluid temperature shows percentage variations of 0.00049%, 0.00031%, and 0.00035% for Peclet numbers (3, 6, 9), and 0.00607%, 0.00335%, and 0.00184% at times (0.4, 0.6, 0.8). These findings deepen the understanding of heat and mass transfer in particle‐laden physiological fluids under magnetic fields, providing useful insights for applications in controlled hyperthermia, magnetically guided therapies, and microvascular drug transport.