Viscoelastic blood flow through stenosed artery in the presence of magnetic field

Abstract

An unsteady analysis of non-Newtonian blood flow under stenotic condition in the presence of a transverse magnetic field has been carried out. The flowing blood is characterised by generalised Oldroyd-B having shear-thinning rheology. The arterial wall is considered to be rigid having cosine shaped stenosis in its lumen. The governing equations of motion accompanied by appropriate choice of the initial and boundary conditions are solved numerically by marker and cell (MAC) method and the results are checked for numerical stability with desired degree of accuracy. The quantitative analysis has been carried out finally which includes the respective profiles of the flow-field. The key factors like the wall shear stress and flow separation are also examined for further qualitative insight into the flow through arterial stenosis. The present results show quite consistency with several existing results in the literature which substantiate sufficiently to validate the applicability of the model under consideration.