Computational modeling of MHD flow of blood and heat transfer enhancement in a slowly varying arterial segment

We have developed a computational model to investigate the unsteady flow of blood and heat transfer characteristics through a sinusoidally varying arterial segment under magnetic environment. Direct numerical simulation has been performed by employing stream function-vorticity formulation followed by a coordinate transformation. The transformed governing equations have been solved using the finite difference scheme by developing Peaceman-Rachford Alternating Direction Implicit (P-R ADI) method. The results show that the rate of heat transfer diminishes with a rise in the magnetic field strength, whereas the trait is reversed in the case of Reynolds number and amplitude of wavy vessel. The skin-friction is high for greater values of amplitude of oscillation of arterial wall. An interesting result can be documented that the Nusselt number has decreasing effect with magnetic field strength at higher Reynolds number, while it increases when Reynolds number is low.