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Volume 32 • Number 2 • 2009 |
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Pulsatile Flow of Couple Stress Fluid Through a Porous Medium with Periodic Body Acceleration and Magnetic Field
V. P. Rathod and Shakera Tanveer
Abstract.
Pulsatile flow of blood through a porous medium has been studied
under the influence of periodic body acceleration by considering blood as a
couple stress, incompressible, electrically conducting fluid in the presence of
magnetic field. An exact solution of the equation of motion is obtained by
applying the Laplace and finite Hankel transforms. The expressions for axial
velocity, flow rate, fluid acceleration and shear stress have been obtained
analytically. The effects of magnetic field, body acceleration and permeability
parameter have been discussed with the help of graphs. It is found that the
velocity distribution increases with an increase of both body acceleration and
permeability of the porous medium, while it decreases as the magnetic
parameter increases.
2000 Mathematics Subject Classification: 92B05, 92C10.
Full text: PDF
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