Herschel-Bulkley Magnetized Blood Flow Model for an Inclined Tapered Artery for an Accelerated Body

Abstract

Analytical investigation of Herschel-Bulkley model for axisymmetric pulsatile blood flow through an inclined stenosed artery of a periodically accelerated body under the influence of a magnetic field has been done. Invoking suitable transformations, the flow governing partial differential equations are non-dimensionalized. For these non–dimensionalized equations, an exact solution representing the different flow characteristic has been derived by employing the perturbation method. Flow rate and impedance analysis of the Herschel-Bulkley fluid has been done graphically by varying the yield stress, pressure gradient. Some important results are obtained pertaining to the medical interest.