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Natural convection between heated vertical plates in a horizontal magnetic field

Published online by Cambridge University Press:  28 March 2006

J. Fletcher Osterle  and
Frederick J. Young
J. Fletcher Osterle
Affiliation:
Carnegie Institute of Technology, Pittsburgh 13, Pennsylvania
Frederick J. Young
Affiliation:
Carnegie Institute of Technology, Pittsburgh 13, Pennsylvania
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Abstract

The effect of viscous dissipation and applied magnetic field is investigated for the case of the fully developed natural convection of a fluid between two heated walls. When electrical and viscous dissipation is negligible, short-circuited Hartmann flow results. The deviation of the velocity and temperature profiles from those existing in Hartmann flow are presented for various Hartmann numbers when dissipation is not neglected. It is shown that increasing the applied magnetic field rapidly decreases the influence of both viscous and joulean dissipation on the velocity and temperature profiles.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 11 , Issue 4 , December 1961 , pp. 512 - 518
Copyright
© 1961 Cambridge University Press

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References

Gershuni, G. Z. & Zhukhovitski, E. M. 1958 J. Expl. Theor. Phys., U.S.S.R., 34, 670.
Ostrach, S. 1952 Nat. Adv. Comm. Aero., Wash., Tech. Note, no. 2863.
Poots, G. 1961 Int. J. Heat Mass Transfer, 3, 1.