This paper considers the unsteady MHD free convective Couette flow of a viscous incompressible electrically conducting fluid between two parallel vertical porous plates. Both cases of the applied magnetic field being fixed either to the fluid or to the moving porous plate are considered. The solution of the governing equations has been obtained by using a Laplace transform technique. However, the Riemann-sum approximation method is used to invert the Laplace domain to the time domain. The unified solution obtained for the velocity have been used to compute the skin friction, while the temperature has been used to compute the Nusselt number. The effect of various flow parameters entering into the problem such as Prandtl number, Grashof number, and the suction/injection parameter are discussed with the aid of line graphs. The skin friction have been seen to decrease with both suction and injection on the surface of the moving plate when the channel is being cooled, while on the stationary plate, the magnitude of the skin friction increases with injection.

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# Magnetohydrodynamic Free Convective Couette Flow With Suction and Injection

Basant K. Jha

,
Basant K. Jha

Department of Mathematics,

basant777@yahoo.co.uk
Ahmadu Bello University

, Zaria, Nigeria

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Clement A. Apere

Clement A. Apere

Department of Mathematics,

adeapere@gmail.com
Ahmadu Bello University

, Zaria, Nigeria

Search for other works by this author on:

Basant K. Jha

Clement A. Apere

*J. Heat Transfer*. Sep 2011, 133(9): 092501 (12 pages)

**Published Online:**July 27, 2011

Article history

Received:

August 13, 2010

Revised:

March 28, 2011

Accepted:

March 30, 2011

Online:

July 27, 2011

Published:

July 27, 2011

Citation

Jha, B. K., and Apere, C. A. (July 27, 2011). "Magnetohydrodynamic Free Convective Couette Flow With Suction and Injection." ASME. *J. Heat Transfer*. September 2011; 133(9): 092501. https://doi.org/10.1115/1.4003902

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