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Technical Briefs

Unsteady Hydromagnetic Generalized Couette Flow of a Non-Newtonian Fluid With Heat Transfer Between Parallel Porous Plates

[+] Author and Article Information
Hazem Ali Attia, Mohamed Eissa Sayed-Ahmed

Department of Engineering Mathematics and Physics, Faculty of Engineering, Fayoum University, 63111 El-Fayoum, Egypt

J. Heat Transfer 130(11), 114504 (Sep 02, 2008) (5 pages) doi:10.1115/1.2927392 History: Received October 24, 2005; Revised February 14, 2007; Published September 02, 2008

The unsteady magnetohydrodynamics flow of an electrically conducting viscous incompressible non-Newtonian Casson fluid bounded by two parallel nonconducting porous plates is studied with heat transfer considering the Hall effect. An external uniform magnetic field is applied perpendicular to the plates and the fluid motion is subjected to a uniform suction and injection. The lower plate is stationary and the upper plate is suddenly set into motion and simultaneously suddenly isothermally heated to a temperature other than the lower plate temperature. Numerical solutions are obtained for the governing momentum and energy equations taking the Joule and viscous dissipations into consideration. The effect of the Hall term, the parameter describing the non-Newtonian behavior, and the velocity of suction and injection on both the velocity and temperature distributions are studied.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figures

Grahic Jump Location
Figure 1

Effect of the Hall parameter m on the time development of u at y=1 for S=1 and Ha=3

Grahic Jump Location
Figure 2

Effect of the Hall parameter m on the time development of w at y=1 for S=1 and Ha=3

Grahic Jump Location
Figure 3

Effect of the Hall parameter m on the time development of θ at y=1 for S=1 and Ha=3

Grahic Jump Location
Figure 4

Effect of the suction parameter S on the time development of u at y=1 for m=1 and Ha=3

Grahic Jump Location
Figure 5

Effect of the suction parameter S on the time development of w at y=1 for m=1 and Ha=3

Grahic Jump Location
Figure 6

Effect of the suction parameter S on the time development of θ at y=1 for m=1 and Ha=3

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