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Steady finite motions of a conducting liquid

Published online by Cambridge University Press:  28 March 2006

Robert R. Long
Robert R. Long
Affiliation:
School of Engineering, The Johns Hopkins University, Baltimore
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Abstract

In certain cases of steady motion of a conducting fluid in a magnetic field, the primitive equations may be integrated once, yielding a second-order partial differential equation in the stream function. This equation is highly non-linear in general, but for certain choices of basic flow and magnetic fields it is tractable. Several arbitrary functions of integration have to be evaluated to make the analysis useful. This may be done in a region that remains undisturbed. A short discussion is given to suggest a procedure for deciding in a special case whether this undisturbed region is ‘upstream’ or ‘downstream’.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 7 , Issue 1 , January 1960 , pp. 108 - 114
Copyright
© 1960 Cambridge University Press

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References

Cowling, T. G. 1957 Magnetohydrodynamics. New York: Interscience.Google Scholar
Lamb, H. 1932 Hydrodynamics, p. 408. New York: Dover.Google Scholar
Long, R. R. 1953a J. Meteorol, 10, 197.Google Scholar
Long, R. R. 1953b Tellus, 5, 42.Google Scholar
Long, R. R. 1955 Tellus, 7, 341.Google Scholar
Long, R. R. 1956 Quart. J. Mech. Appl. Math. 9, 385.Google Scholar
Long, R. R. 1958 Quart. J. Roy. Met. Soc. 84, 159.Google Scholar
Stoker, J. J. 1953 Commun. Pure Appl. Math. 6, 471.Google Scholar