Hydromagnetic Fluctuating Flow of a Viscoelastic Fluid in a Porous Channel

[+] Author and Article Information
Sushil Kumar Ghosh

Department of Mathematics, Garhbeta College, Paschim Medinipur 721127, West Bengal, India

J. Appl. Mech 74(2), 177-180 (Aug 04, 2005) (4 pages) doi:10.1115/1.2062828 History: Received January 16, 2003; Revised August 04, 2005

An exact periodic solution for the time dependent flow of a viscoelastic fluid in the presence of transverse magnetic field is derived. It is assumed that on one plate the fluid is injected with certain velocity and that it is sucked off at the other plate with the same velocity. Both plates are oscillating with a known velocity in their own plane. A perturbation method has been employed by treating the viscoelastic parameter to be small. Effects of viscoelastic parameter, cross-flow Reynolds number, frequency parameter, and Hartmann number on the velocity as well as wall shear stress of the flow are discussed here with graphs.

Copyright © 2007 by American Society of Mechanical Engineers
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Figure 1

Axial velocity at different instants of time

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Figure 2

Axial velocity at different instants of time

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Figure 3

The axial velocity for different values of K

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Figure 4

Axial velocity distribution at different channel heights

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Figure 5

Distribution of shear stress with t

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Figure 6

Shear stress distribution at the wall with t

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Figure 7

Wall shear stress versus R for different t

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Figure 8

The effect of impulsive fluid velocity on wall shear stress




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