An implicit nite dierence scheme for analyzing the effect of body acceleration on pulsatile blood ow through a stenosed artery

With an aim to investigate the effect of externally imposed body acceleration on two-dimensional, pulsatile blood ow through a stenosed artery is under consideration in this article. The blood ow has been assumed to be non-linear, incompressible and fully developed. The artery is assumed to be an elastic cylindrical tube and the geometry of the stenosis considered as time dependent, and a comparison has been made with the rigid ones. The shape of the stenosis in the arterial lumen is chosen to be axially non-symmetric but radially symmetric in order to improve resemblance to the in-vivo situations. The resulting system of non-linear partial dierential equations is numerically solved using the Crank-Nicolson scheme by exploiting the suitably prescribed conditions. The blood ow characteristics such as the velocity prole, the volumetric ow rate and the resistance to ow are obtained and effects of the severity of the stenosis, the body acceleration on these ow characteristics are discussed. The present results are compared with literature and found to be in agreement.