CFD Modelling of Casson Fluid Flow and Mass Transport Through Atherosclerotic Vessels

The effects of stenosis and mass transfer on arterial flow have been studied in the present investigation through a mathematical model. The flowing blood is considered to be non-Newtonian (Casson model) and the arterial wall is treated as axisymmetric with an outline of the stenosis obtained from a casting of a mildly stenosed artery. The mass transfer to blood is controlled by the convection–diffusion equation. The governing equations of motion accompanied by the appropriate choice of the boundary conditions are solved numerically by Marker and Cell method and the results obtained are checked for numerical stability with the desired degree of accuracy. The effects of two different types of stenosis model, different severity of stenosis and different values of yield stress parameter are investigated and represented graphically. Particular attention is focused on the effect of stenosis on the wall shear stress and Sherwood number. 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.