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The magnetohydrodynamic flow past a flat plate

Published online by Cambridge University Press:  28 March 2006

H. P. Greenspan  and
G. F. Carrier
H. P. Greenspan
Affiliation:
Pierce Hall, Harvard University
G. F. Carrier
Affiliation:
Pierce Hall, Harvard University
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Abstract

The uniform steady flow of an incompressible, viscous, electrically conducting fluid is distorted by the presence of a symmetrically oriented semi-infinite flat plate. The ambient magnetic field is coincident with the ambient velocity field. The description of the resulting fields depends on the physical co-ordinates measured in units of Reynolds number and on the two parameters ε = ωμν and β = μH2/ρv2. This description of the fields is approximated in three different ways and essentially covers the full range of ε and β. In particular, when β [Gt ] 1, no steady flow which is uniform at large distances from the plate exists.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 6 , Issue 1 , July 1959 , pp. 77 - 96
Copyright
© 1959 Cambridge University Press

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References

Carlemann, T. 1922 Math. Z. 15, 111.
Carrier, G. F. 1953 Boundary layer problems in applied mechanics. Advances in Applied Mechanics, vol. III. New York: Academic Press.
Carrier, G. F. 1959 Technique for the solution of problems involving diffusion and convection. (To be published in Quart. Appl. Math.)Google Scholar
Foster, R. M. & Campbell, G. A. 1948 Fourier Integrals. New York: D. Van Nostrand Co.
Lewis, F. A. & Carrier, G. F. 1949 Some remarks on the flat plate boundary layer. Quart. Appl. Math. 7, 228.Google Scholar
Pearson, C. E. 1957 On the finite strip problem. Quart. Appl. Math. 15, 203.Google Scholar
Tomotika, S. & Aoi, T. 1953 The steady flow of a viscous fluid past an elliptic cylinder and a flat plate at small Reynolds numbers. Quart. J. Mech. Appl. Math. 6, 290.Google Scholar