Abstract

A mathematical model has been developed for studying the effect of porous medium on pulsatile inclined two layered blood flow with magnetic field with periodic body acceleration.Considering the Blood as couple stresses, non-Newtonian, and incompressible fluid. Finite Hankel and Laplace transform are used to analytical expression for the velocity profile and flow rate. The effect of various parameters associated with this flow problem such as porosity, Hartmann number, pressure gradient, body acceleration, gravitational parameter and inclination angle on the velocity distribution is analysed by plotting the graph. It is found that velocity decreases with the increase of the Hartmann number and the reverse behavior is noticed for the pressure gradient and body acceleration. It is also observed that the velocity profile increases with the increase of the permeability of the porous medium.

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