A Mathematical Study of Pressure Drop and Shear Stress of Non Newtonian Blood Flow in an Artery with Bell Shaped Stenosis

In this paper, a mathematical model is proposed and analysed to study the effects of a bell shaped stenosis on pressure drop and shear stress, in an artery. The bio rheological aspect is taken into account in the power law fluid representing the non-Newtonian fluid flow model. An analysis has been performed to estimate the effect of power law index and severity of the stenosis on various parameters such as pressure drop and wall shear stress. The analysis shows that as height and length of stenosis increases, not only pressure drop increases but shear stress also increases. The results are compared with the usual Newtonian fluid model.