Slip effects on the unsteady MHD pulsatile blood flow through porous medium in an artery under the effect of body acceleration
type: Item
instance of: scholarly article
title: Slip effects on the unsteady MHD pulsatile blood flow through porous medium in an artery under the effect of body acceleration
zbMATH Open document ID: 1248.76164
DOI: 10.1155/2012/860239
author: Islam M. Eldesoky
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2012-10-16T00:00:00Z
review text: Summary: 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).
Mathematics Subject Classification ID: 76Z05
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 92C35
Mathematics Subject Classification ID: 76W05
zbMATH DE Number: 6093870
zbMATH Keywords: blood flow
zbMATH Keywords: porous medium
Wikidata QID: Q58705141
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/860239
OpenAlex ID: W2164964495
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description: scientific article; zbMATH DE number 6093870