Abstract
The present work deals with the theoretical study of the unsteady blood flow of a Williamson fluid through composite stenosed arteries with permeable walls. The highly non-linear momentum equations of the Williamson fluid model are simplified by considering the mild stenosis case and the perturbation solutions are evaluated. The expressions for velocity, flow impedance, wall shear stress and shearing stress at the stenosis throat are computed and discussed through graphs for different physical parameters of interest.