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Computational and Applied Mathematics Journal

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Steady Blood Flow Through a Porous Medium with Periodic Body Acceleration and Magnetic Field

Computational and Applied Mathematics Journal
Vol.2 , No. 1, Publication Date: Jan. 21, 2016, Page: 1-5

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Authors

[1]	Shakera Tanveer, Department of Mathematics, Government First Grade College, Afzalpur, Dist. Kalaburagi, Karnataka, India.

Abstract

The present study is concerned with a mathematical model for steady flow of blood through a porous medium in a rigid straight circular tube under the influence of periodic body acceleration and magnetic field by considering blood as a couple stress fluid. The physiological parameters that affect human body such as axial velocity, shear stress and flow rates have been computed analytically as an exact solution in the Bessel’s Fourier series form by the finite Hankel transform techniques. It is of interest to note that as the magnetic effect is increased the velocity of the blood decreased whereas it increases as permeability of the porous media and body acceleration increases. The effects of shear stress and other parameters are shown through graphs. Finally, the applications of this mathematical model to some biological and cardiovascular diseases by the magnetic effect have been indicated.

Keywords

Blood Flow, Couple Stress Fluid, Body Acceleration, Magnetic Field, Porous Media and Blood Borne Diseases

Reference

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