Author(s): B.Basu Mallik1*, Saktipada Nanda1,Bhabatosh Das2, Debanshu Saha2, Debanu Shankar Das2and Koustav Paul2
A mathematical model is developed in this paper for studying blood flow through an atherosclerotic artery with slip velocity at wall. A power law fluid model of the blood has been utilized in this study to account for the presence of red cells (erythrocytes) in plasma. The geometry of the stenosis to be manifested in the arterial segment is given due consideration in the present theoretical analysis. The governing equation of power law fluid is solved analytically with slip and other appropriate boundary conditions. An extensive quantitative analysis is performed through numerical computations on the flow velocity, the volumetric flow rate, the impedance, the wall shear stress and the effective viscosity. The results for Newtonian model of blood are presented as a special case. An extensive quantitative analysis of the measurable flow variables having more physiological significance is carried out by developing computer algorithm and codes. As hemodynamic behavior of blood is influenced by the pressure of the arterial stenosis so the theoretical investigation may help in reducing the flow disorders in human artery that lead to the formation and propagation of the arterial diseases and cardiovascular disorders.