A numerical model for the effect of stenosis shape on blood flow through an artery using power-law fluid

The objective of this present numerical model is to investigate the effect of shape of stenosis on blood flow through an artery using power-law fluid model. Blood is modeled as power-law fluid in a uniform circular tube with an axially non-symmetric but radially symmetric stenosis. The expressions for dimensionless resistance to flow, wall shear stress and apparent viscosity have been obtained. The variation of resistance to flow, wall shear stress and apparent viscosity with stenosis shape parameter, stenosis length and stenosis size has been shown graphically. It has been found that the resistance to flow, wall shear stess and apparent viscosity decreases as stenosis shape parameter increases but increases as stenosis size and stenosis length increases. The significance of the present model over the existing models has been pointed out by comparing the results with other theories both analytically and numerically. This information of blood could be useful in the development of new diagnosis tools for many diseases.