Mathematical analysis of pulsatile blood flow and heat transfer in oscillatory porous arteries

The present study aims to identify flow characteristics and heat transfer due to the body acceleration for blood through an porous artery exposed to a vibration environment. Blood flow is considered here to be governed by the equation of a Newtonian fluid model. Oscillatory flow in a porous channel is considered in this study. It pertains to a situation when the flow takes place between two porous plates lying parallel. The fluid is considered to be injected on one plate with a constant velocity, while it is sucked off at other with the same velocity. The plates are considered to be oscillating with a given velocity in their own planes. The problem is solved numerically. The numerical results for the velocity, temperature, wall shear stress and Nusselt number for the various values of the parameters involved are presented graphically and in tabular form. The study reveals that the flow is appreciably influenced by the presence of a magnetic field and also body acceleration. MSC: 92B05 • 35Q79