Effect of relaxation time on MHD Pulsatile flow of blood through porous medium in an artery under the effect of periodic body acceleration

摘要

In this investigation, the influence of relaxation time on magnetohydrodynamic (MHD) pulsatile flow of blood through porous medium in an artery under the effect of periodic body acceleration is investigated. The applied magnetic field is assumed to be constant and perpendicular to the blood flow in the artery, and blood is considered as an incompressible electrically conducting fluid. An analytical solution of the equation of motion is obtained by applying the Laplace Transform. With a view of illustrating the applicability of the mathematical model developed here, the analytic explicit expressions of axial velocity and wall shear stress are given. The results show that the values of the axial velocity and shear stress are affected by the relaxation time. Numerical results are reported for different values of the physical parameters of interest.