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Magnetohydrodynamic Poiseuille-Couette Flow and Heat Transfer in an Inclined Channel

Published online by Cambridge University Press:  03 October 2011

J. C. Umavathi ,
I-C. Liu  and
J. Prathap Kumar
J. C. Umavathi*
Affiliation:
Department of Mathematics, Gulbarga University, Gulbarga 585106, Karnataka, India
I-C. Liu*
Affiliation:
Department of Civil Engineering, National Chi Nan University, Nantou, Taiwan 54561, R.O.C.
J. Prathap Kumar*
Affiliation:
Department of Mathematics, Gulbarga University, Gulbarga 585106, Karnataka, India.
*
* Professor
** Professor, corresponding author
*** Reader
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Abstract

An analysis of the Poiseuille-Couette flow of two immiscible fluids between inclined parallel plates is investigated. One of the fluids is assumed to be electrically conducting while the other fluid and channel walls are assumed to be electrically insulating. The viscous and Ohmic dissipation terms are taken into account in the energy equation. The coupled nonlinear equations are solved both analytically valid for small values of the product of Prandtl number and Eckert number (= ε) and numerically valid for all ε. Solutions for large ε reveal a marked change on the flow and rate of heat transfer. The effects of various parameters such as Hartmann number, Grashof number, angle of inclination, ratios of viscosities, widths and thermal conductivities are presented and discussed in detail.

Keywords

Poiseuille-couette flowMagnetohydrodynamic convectionImmiscible fluidsInclined channelHartman number
Type
Research Article
Information
Journal of Mechanics , Volume 26 , Issue 4 , December 2010 , pp. 525 - 532
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2010

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References

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