Abstract
Unsteady pulsatile flow of blood through porous medium in an artery has been studied under the influence of periodic body acceleration and slip condition in the presence of magnetic field considering blood as an incompressible electrically conducting fluid. An analytical solution of the equation of motion is obtained by applying the Laplace transform. With a view to illustrating the applicability of the mathematical model developed here, the analytic explicit expressions of axial velocity, wall shear stress, and fluid acceleration are given. The slip condition plays an important role in shear skin, spurt, and hysteresis effects. The fluids that exhibit boundary slip have important technological applications such as in polishing valves of artificial heart and internal cavities. The effects of slip condition, magnetic field, porous medium, and body acceleration have been discussed. The obtained results, for different values of parameters into the problem under consideration, show that the flow is appreciably influenced by the presence of Knudsen number of slip condition, permeability parameter of porous medium, Hartmann number of magnetic field, and frequency of periodic body acceleration. The study is useful for evaluating the role of porosity and slip condition when the body is subjected to magnetic resonance imaging (MRI).
Highlights
The investigations of blood flow through arteries are of considerable importance in many cardiovascular diseases atherosclerosis
We studied unsteady pulsatile flow of blood through porous medium in an artery under the influence of periodic body acceleration and slip condition in the presence of magnetic field considering blood as an incompressible electrically conducting fluid
We have shown the relation between the different parameters of motion such as Hartmann number Ha, Knudsen number kn, Womersley parameter α, frequency of the body acceleration b, the permeability parameter of porous medium k, and the axial velocity, shear stress, fluid acceleration to investigate the effect of changing these parameters on the flow of the fluid
Summary
The investigations of blood flow through arteries are of considerable importance in many cardiovascular diseases atherosclerosis. El-Shehawey et al 3 investigated the pulsatile flow of blood through a porous medium under periodic body acceleration. The slip effects on the peristaltic flow of a nonNewtonian Maxwellian fluid have been investigated by El-Shehawy et al. The influence of slip condition on peristaltic transport of a compressible Maxwell fluid through porous medium in a tube has been studied by Eldesoky. The effect of slip condition on unsteady blood flow through a porous medium has been studied under the influence of periodic body acceleration and an external magnetic field. The analysis is carried out by employing appropriate analytical methods and some important predictions have been made basing upon the study This investigation can play a vital role in the determination of axial velocity, shear stress, and fluid acceleration in particular situations.
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