Unsteady MHD Pulsatile Blood Flow through Porous Medium in a Stenotic Channel with Slip at the Permeable Walls Subjected to Time Dependent Velocity (Injection/Suction)

Document Type : Original Article

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Basic Engineering Sciences Department, Faculty of Engineering, Menoufia University, Egypt.

Abstract

Abstract
The flow through porous boundaries is of great importance both in technological as well as 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 Due to the permeability of the arterial wall the no slip condition at the wall is no longer valid and one has to consider a slip condition at the channel wall. It was obliviously better and more realistic approach to obtain the flow behaviors. 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.

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