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Hydromagnetic surface waves with alternating magnetic fields

Published online by Cambridge University Press:  28 March 2006

Michael J. Schaffer
Michael J. Schaffer
Affiliation:
Department of Electrical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts
Present address: Department of Physics, Escuela de Ingenieros Industrials, Universidad Tecnica del Estado, Santiago, Chile.
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Abstract

Hydromagnetic surface waves propagating on the surface of a finitely conducting fluid are studied experimentally and theoretically. An alternating magnetic field is used, so that the field is largely excluded from the bulk of the fluid. Thus, the magnetic damping of the waves is negligible, and the perfectly conducting d.c. case is simulated. The effects of a finite electromagnetic skin depth, δ, are included in the calculation of the theoretical wave dispersion relation. It is predicted that as δ is increased and becomes comparable to the wavelength of the surface wave, the effect of the magnetic field on the fluid motion is decreased. This prediction is confirmed experimentally.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 33 , Issue 2 , 12 August 1968 , pp. 337 - 351
Copyright
© 1968 Cambridge University Press

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References

Chandrasekhar, S. 1961 Hydrodynamic and Hydromagnetic Stability. Oxford University Press.
Colgate, S. A., Furth, H. P. & Halliday, F. O. 1960 Rev. Mod. Phys. 32, 744.
Devitt, E. B. & Melcher, J. R. 1965 Phys. Fluids, 8, 1193.
Kruskal, M. D. & Schwarzschild, M. 1954 Proc. Roy. Soc. A 223, 348.
Melcher, J. R. 1963 Field-Coupled Surface Waves. Cambridge, Mass: M.I.T. Press.
Melcher, J. R. 1966 Phys. Fluids 9, 1973.
Okress, E. C., Wroughton, D. M., Comentz, G., Brace, P. H. & Kelley, J. G. R. 1952 J. Appl. Phys. 23, 545.
Osovets, S. M. 1963 Atomnaya Energia, 15, 283 in Russian. English transl. 1964 in Plasma Phys. Accelerators-Thermonuclear Res. 6, 421.
Peifer, W. A. 1965 J. of Metals, 17, 487.
Rook, C. W. 1964 Sc.D. thesis, Dept. of Electrical Engineering, Massachusetts Institute of Technology, Cambridge, Mass.
Weisberg, L. R. 1959 Rev. Sci., Instrum. 30, 135.
Zhezherin, R. P. 1959 In the collection Voprosi Magnitnoy Gidrodinamiki i Dinamiki Plasmi, Akad. Nauk Latv. SSR, Riga, Latvia, SSR, 279, in Russia.Google Scholar