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A single-fluid model for shock formation in MHD shock tubes

Published online by Cambridge University Press:  13 March 2009

Alan L. Hoffman
Alan L. Hoffman
Affiliation:
California Institute of Technology
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Abstract

A simple single-fluid model is presented which accounts for the behaviour of MHD shock producing devices in which the shock and the driving current sheet are unseparated. By means of both characteristic and similarity solutions, it is shown that unusual plasma behaviour is a simple consequence of the fluid equations of motion. The important parameters in determining the performance of MilD shock tubes are the width of the current sheet at breakdown (related to the magnetic Reynolds number) and the current sheet Mach number with respect to the gas at rest. It is shown that, under many conditions, separation is more likely to be achieved with a decrease, rather than an increase, in current sheet speed. Lowering the Mach number is more influential in causing the shock to form at the front of the current sheet than raising the magnetic Reynolds number.

Type
Research Article
Information
Journal of Plasma Physics , Volume 1 , Issue 2 , May 1967 , pp. 193 - 207
Copyright
Copyright © Cambridge University Press 1967

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References

REFERENCES

Greifinger, C. & Cole, J. D. 1961 Phys. Fluids 4, 527.CrossRefGoogle Scholar
Gross, R. 1965 Physics Today 18, 20.CrossRefGoogle Scholar
Klein, A. F. & Sorrell, F. Y. 1966 Bull. Am. Phys. Soc. 11, 581.Google Scholar
Liepmann, H. W. & Vlases, G. C. 1961 Phys. Fluid 4, 927.Google Scholar
Lighthill, M. J. 1956 Surveys in Mechanics. Cambridge University Press.Google Scholar
Marshall, W. 1955 Proc. Roy. Soc. A 233, 367.Google Scholar
Sorrell, F. Y. 1966 Ph.D. Thesis, California Institute of Technology.Google Scholar