Mathematical molding and heat transfer in MHD blood base hybrid nanofluid on a moving extensible surface

Abstract This work explores the heat transfer properties and mathematical modeling of blood‐based hybrid nanofluid flow on a moving extensible surface in magnetohydrodynamic (MHD) flow. For the first time, this model is treated semi numerical with the influence of viscous dissipation. Blood, a complex biological fluid, is added to the nanoparticles aluminum oxide and copper as a base fluid for the formation of hybrid nanofluid. We formulate the governing partial differential equations assuming laminar, incompressible, and steady‐state flow. Applying the appropriate similarity transformation, a nonlinear system of ODEs is obtained from the recommended system of PDEs. Semi numerical simulations are utilized to analyze the effects of the flow and heat transfer characteristics of the including Eckert number, thermal radiation, magnetic field, couple stress parameter, and volume fraction of nanoparticles. The findings show that the magnetic factor, thermal radiation, and Eckert number significantly increase the rates of heat transfer, furthermore, the velocity field of hybrid nanofluid is decreasing with the increasing of couple stress, magnetic field, and nanoparticles volume friction, while skin friction is increasing with the increasing of couple stress, magnetic field, and nanoparticles volume friction. This work opens up new possibilities for optimizing heat transfer processes in biomedical applications involving blood flow by shedding light on the intricate interactions between surface stretching, hybrid nanofluid properties, and magnetic field effects.