In the present article, we have analyzed the Reiner-Rivlin fluid model for blood flow
through a tapered artery with a stenosis. The constitutive equations for a Reiner-Rivlin fluid have
been modeled in cylindrical coordinates. A perturbation series in dimensionless Reiner-Rivlin fluid
parameter ðk1  1Þ have been used to obtain explicit forms for the velocity, resistance impedance,
wall shear stress and shearing stress at the stenosis throat. The graphical results of different type of
tapered arteries (i.e converging tapering, diverging tapering, non-tapered artery) have been examined
for different parameters of interest.