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The influence of mean shear on Alfvén-internal wave propagation

Published online by Cambridge University Press:  13 March 2009

R. J. Hartman
R. J. Hartman
Affiliation:
Department of Physics, University of California, Santa Barbara
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Abstract

This paper uses the general solution of the linearized initial-value problem for an unbounded, exponentially-stratified, perfectly-conducting Couette flow in the presence of a uniform magnetic field to study the development of localized wave-type perturbations to the basic flow. The two-dimensional problem is shown to be stable for all hydrodynamic Richardson numbers JH, positive and negative, and wave packets in this flow are shown to approach, asymptotically, a level in the fluid (the ‘isolation level’) which is a smooth, continuous, function of JH that is well defined for JH < 0 as well as JH > 0. This system exhibits a rich complement of wave phenomena and a variety of mechanisms for the transport of mean flow kinetic and potential energy, via linear wave processes, between widely-separated regions of fluid; this in addition to the usual mechanisms for the absorption of the initial wave energy itself. The appropriate three-dimensional system is discussed, and the role of nonlinearities on the development of localized disturbances is considered.

Type
Research Article
Information
Journal of Plasma Physics , Volume 15 , Issue 2 , April 1976 , pp. 197 - 222
Copyright
Copyright © Cambridge University Press 1976

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References

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