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Magnetohydrodynamic flows of non-equilibrium plasmas

Published online by Cambridge University Press:  28 March 2006

Arthur Sherman
Arthur Sherman
Affiliation:
General Electric Space Sciences Laboratory, Valley Forge, Pennsylvania
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Abstract

The present paper studies the interaction between non-equilibrium ionization phenomena in a plasma and the non-uniform flow of that plasma. The characteristics of non-equilibrium conditions are reviewed for the uniform flow situation in which electric and magnetic fields may exist. In order to permit study of the non-uniform flow situation a single-fluid theory is proposed in which the electrical conductivity is assumed to be a function of the absolute magnitude of the current density. The resulting highly simplified system of equations are then used to formulate the Hartmann-flow problem. For this case the formerly linear problem becomes non-linear. Despite this, solutions to within a quadrature are obtained when the Hall effect is neglected. The more complex problem including the Hall effect is solved numerically. Solutions showing velocity and current profiles are given. For certain values of the parameters governing the problem it is shown that no solutions exist.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 25 , Issue 3 , July 1966 , pp. 621 - 637
Copyright
© 1966 Cambridge University Press

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References

Cowling, T. G. 1956 Magnetohydrodynamics. New York: Interscience.
Sherman, A. & Sutton, G. W. 1961 The combined effect of tensor conductivity and viscosity on an MHD generator with segmented electrodes. Proc. Gas Dynamics Symp. Northwestern University. Northwestern University Press.
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