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Some two-dimensional magneto-fluid-dynamic flows at low magnetic Reynolds number

Published online by Cambridge University Press:  28 March 2006

J. H. Horlock
Affiliation:
Department of Mechanical Engineering, University of Liverpool

Abstract

A study is made of some two-dimensional flows of an inviscid, uniformly conducting fluid in the presence of applied magnetic fields, for the case in which the magnetic Reynolds number (the ratio of induced fields to applied fields) is small but the magnetic force coefficient (the ratio of electromagnetio forces to inertia forces) is of order unity.

Perturbations of uniform incompressible and compressible flows through aligned and crossed fields are considered. All these perturbations are strongly dependent upon the magnitude of the magnetic force coefficient. An experimental analogy of the flow through an aligned field is described.

Type
Research Article
Copyright
© 1963 Cambridge University Press

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References

Cowley, M. D. 1961 Private communication.
Glazebrook, R. T. 1910 National Physical Laboratory, Collected Research, vol. VI, p. 46.
Haines, F. D., Yoler, Y. A. & Ehlers, E. 1960 Dynamics of Conducting Gases. North-western University Press.
Hartmann, J. 1937 Math. fys. Medd. 15, no. 6.
Lamb, H. 1932 Hydrodynamics, 6th ed. Cambridge University Press.
Leipmann, H. W. & Roshko, A. 1957 Elements of Gas Dynamics. New York: Wiley.
Ludford, G. S. S. 1961 J. Fluid Mech. 10, 141.
Mccune, J. E. 1960 J. Fluid Mech. 7, 449.
Preston, J. H. 1961 Private communication.
Resler, E. L. & McCune, J. E. 1960 J. Aero/Space Sci. 27, 493.
Resler, E. L. & Sears, W. R. 1958a J. Aero. Sci. 25, 235.
Resler, E. L. & Sears, W. R. 1958b Z. angew. Math. Phys., Special no. 5-6, 509.
Sears, W. R. & Resler, E. L. 1959 J. Fluid Mech. 5, 257.
Shercliff, J. A. 1959 J. Roy. Aero. Soc. 63, 518.
Squire, H. B. 1956 Rotating fluids. Art. in Surveys in Mechanics (ed. Batchelor & Davies). Cambridge University Press.
Williams, W. E. 1960 Appl. Sci. Res. A, 9, 424.