• Anup Kumar Karak

The pulsatile motion of blood through a constricted artery has been studied theoretically. The arterial vessel has been assumed to be a cylindrical tube of circular cross-section and there is a non-uniform suspension of viscosity of blood and a prescribed volume flux, Infinite series solutions are obtained for the distributions of axial velocity and pressure gradient. Effects of hematocrit and Womersley parameters on the flow have been discussed. A mathematical model has been developed to study the influence of externally applied magnetic field on the blood flow through a mammalian blood vessel with slip velocity in the wall in the presence of a stenosis. Using the momentum integral technique, analytical expressions for the velocity profile, pressure gradient and skin-friction are obtained. The condition for an adverse pressure gradient is also deduced. It is observed that the slip velocity as well as the magnetic field bear the potential to influence the velocity distribution of blood to a considerable extent and to reduce remarkably the pressure gradient as well as the skin-friction.

Blood flow, constricted artery, stenosis,hematocrit, Womersley parameter.

"Role of External Magnetic Field and Slip Velocity on Pulsatile Flow of Blood Through Stenosed Artery", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 5, page no.338-349, May 2019, Available :http://www.jetir.org/papers/JETIR1905X41.pdf

"Role of External Magnetic Field and Slip Velocity on Pulsatile Flow of Blood Through Stenosed Artery", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 5, page no. pp338-349, May 2019, Available at : http://www.jetir.org/papers/JETIR1905X41.pdf