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The magnetohydrodynamic flow past a flat plate

Published online by Cambridge University Press:  28 March 2006

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

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 = μH2v2. 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
Copyright
© 1959 Cambridge University Press

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