摘要 : The present investigation deals with a mathematical model epresenting the mass transfer to blood streaming through the arteries under stenotic condition. The mass transport refers to the movement of atherogenic molecules, that is,... 展开 The present investigation deals with a mathematical model epresenting the mass transfer to blood streaming through the arteries under stenotic condition. The mass transport refers to the movement of atherogenic molecules, that is, blood-borne components, such as oxygen and low-density lipoproteins from oowing blood into the arterial walls or vice versa. The blood oowing through the artery is treated to be Newtonian and the arterial wall is considered to be rigid having dierently shaped stenoses in its lumen arising from various types of abnormal growth or plaque formation. The nonlinear unsteady pulsatile oow phenomenon unaected by concentration-ˉeld of the macromolecules is governed by the Navier-Stokes equations together with the equation of continuity while that of mass transfer is controlled by the convection-diusion equation. The governing equations of motion accompanied by appropriate choice of the boundary conditions are solved numerically by MAC(Marker and Cell) method and checked numerical stability with desired degree of accuracy. The quantitative analysis carried out ˉnally includes the respective proˉles of the oow-ˉeld and concentration along with their distributions over the entire arterial segment as well. The key factors like the wall shear stress and Sherwood number are also examined for further qualitative insight into the oow and mass transport phenomena through arterial stenosis. The present results show quite consistency with several existing results in the literature which substantiate su±ciently to validate the applicability of the model under consideration. 收起