چکیده (انگلیسی):

Magnetohydrodynamic (MHD) principles may be used to study the flow of arterial blood under the action of an applied magnetic field. Such studies are of potential value in the treatment of cardiovascular disorders that may be associated with accelerated circulation. With an aim to providing a generalized model for studying the flow of blood in an electromagnetic field environment, a numerical model is developed here, by treating blood as a non-Newtonian fluid, the motion of which is taken to be governed by Walter’s B-fluid model. The channel flow characteristics of the fluid are studied here, when the channel is porous and is subjected to an external magnetic field. Using the similarity transformation and boundary layer approximations, the associated nonlinear partial differential equations of the problem are reduced to nonlinear ordinary differential equations. These are solved numerically by developing a finite difference scheme. The study provides useful estimates for the influence of Reynolds number Re, Hartmann number M, and viscoelastic parameter K1 on the flow characteristics. It bears the potential to explore some important information about the hemodynamical flow of blood in an artery when it is under the action of an external magnetic field