Effect of body acceleration on blood flow in an irregular stenosed artery

Abstract

Of concern in the paper is an analytical study of blood flow subjected to body acceleration, in an irregular stenosed arterial segment through a mathematical model. The artery is modelled as an isotropic elastic tube filled with a viscous incompressible fluid representing blood. The flow mechanism of the present study is subjected to a pulsatile pressure gradient owing to the normal functioning of the heart, together with a single cycle of body acceleration. Particular emphasis has been put on the effects of the connective tissues surrounding the arterial wall. The equations governing the motion of the system are sought in the Laplace transform space and their relevant solutions are obtained in the transformed domain. Laplace inversion is also carried out, by employing numerical techniques. A quantitative analysis has been performed through numerical computations for the effects of body acceleration on the flow velocity, the flux, the resistive impedances, and the wall shear stresses, in order to illustrate the applicability of such an improved model.