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Dual solutions of the Greenspan—Carrier equations

Published online by Cambridge University Press:  28 March 2006

D. H. Wilson
D. H. Wilson
Affiliation:
Department of Mathematics, The Durham Colleges, Durham
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Abstract

This paper concerns the boundary layer on a semi-infinite flat plate in a uniform stream of conducting fluid, with magnetic field in the stream direction. It is found that when β, the square of the ratio of the Alfvén speed to the undisturbed fluid speed, is slightly less than unity, two solutions of the Greenspan-Carrier equations governing the motion exist for ε(= σμν) less than unity.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 18 , Issue 2 , February 1964 , pp. 161 - 166
Copyright
© 1964 Cambridge University Press

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References

Glauert, M. B. 1961 J. Fluid Mech. 10, 276.
Greenspan, H. P. & Carrier, G. F. 1959 J. Fluid Mech. 6, 77.
Reuter, G. E. H. & Stewartson, K. 1961 Phys. Fluids, 4, 276.
Schlichting, H. 1955 Boundary Layer Theory, p. 322. London: Pergamon Press.
Stewartson, K. & Wilson, D. M. 1964 J. Fluid Mech. (in Press).