چکیده (انگلیسی):

A theoretical study of pulsatile blood flow through a constricted porous channel in the presence of an external magnetic field by considering the incompressible Newtonian fluid model is investigated. The influence of magnetic field on the flow is studied using the dimensionless magnetic parameter M and a Darcian linear impedance for low Reynolds number is taken into account in the transformed momentum equation. A perturbation method is employed to solve the governing
differential equations by using a small perturbation parameter ϵ (such that 0 < ϵ << 1), which is incorporated in the time dependent transpiration velocity (suction/ injection). Using appropriate boundary conditions analytical expressions for the
velocity distribution, volumetric flow rate and wall shear stress have been derived and the numerical results are presented graphically for different values of the physical parameters of interest.