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Separation and magnetohydrodynamics

Published online by Cambridge University Press:  29 March 2006

John Buckmaster
John Buckmaster
Affiliation:
University College London
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Abstract

This paper is an investigation of MHD boundary layers in a transverse magnetic field when the magnetic Reynolds number (Rm) is small. The main purpose is to understand something about the suppression of separation by a strong magnetic field, with particular emphasis on the behaviour near a rear stagnation point. Given an O(1) inviscid flow it is shown that there is a critical value of N, the interaction parameter, to completely suppress separation. This value is one half that proposed by Leibovich (1967), a discrepancy that is due to the non-regularity of the boundary-layer equations at a rear stagnation point, a possibility that Leibovich did not consider in his solution. Model linear equations suggest the true role of Leibovich's solution. The possibility of a viscous wake leaving the rear stagnation point is considered and it is suggested that one does not arise from vorticity generated in the boundary layer.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 38 , Issue 3 , 18 September 1969 , pp. 481 - 498
Copyright
© 1969 Cambridge University Press

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References

Brown, S. N. & Stewartson, K. 1965 J. Fluid Mech. 23, 673–687.
Fucks, W., Fischer, E. & Uhlenbusch, J. 1964 Z. Flugwissenschaften, 11, 389–395.
Hunt, J. C. R. & Leibovich, S. 1967 J. Fluid Mech. 28, 241.
Leibovich, S. 1967 J. Fluid Mech. 29, 401–413.
Moreau, R. 1964 C. r. hebd. Séanc. Acad. Sci., Paris, 258, 1732–1735.
Pillow, A. 1964 J. Math. Mech. 13, 521–545.
Schlichting, H. 1968 Boundary-Layer Theory, 6th ed. New York: McGraw-Hill.
Tsinober, A., Shtern, A. & Shcheerinin, E. 1963 Latvijas PSR Zinatnu Akad. Vestis, 12, 49–56 and Foreign Technology Division, Air Force Systems Command, Wright-Patterson Air Force Base, Ohio, U.S.A. FTD-TT-65-27.