Unsteady MHD pulsatile blood flow through porous medium in stenotic channel with slip at permeable walls subjected to time dependent velocity (injection/suction)

Abstract

The flow through porous boundaries is of great importance, both in technological and biophysical flows. The present paper is concerned with the study of unsteady pulsatile flow of blood through porous medium in a time dependent constricted porous channel subjected to time dependent suction/injection at the walls of the channel. The blood flow is subjected to a constant transverse magnetic field, considering blood as an incompressible electrically conducting fluid. Due to the permeability of the arterial wall, the no-slip condition at the wall is no longer valid, and one has to consider the slip condition at the channel wall because of more realistic approach. Perturbation analysis is used to solve the system of equations governing the flow. With a view to illustrating the applicability of the mathematical model developed here, the analytic explicit expressions of axial velocity, volumetric flow rate and wall shear stress are obtained. The computed numerical results are presented graphically for different values of the physical parameters of interest, to depict the variations in axial velocity, volumetric flow rate and wall shear stress.