Hostname: page-component-745bb68f8f-grxwn Total loading time: 0 Render date: 2025-01-12T11:26:58.608Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Abramowitz, M., & Stegun, I. A. 1970 Handbook of Mathematical Functions. National Bureau of Standards.Google Scholar
Booker, J. R., & Bretherton, F. P. 1967 J. Fluid Mech. 28, 545.Google Scholar
Hartman, R. J. 1973 Ph.D. dissertation, Department of Physics, University of California, Santa Barbara.Google Scholar
Hartman, R. J. 1975 a J. Fluid Mech. 71, 89.Google Scholar
Hartman, R. J. 1975 b J. Fluid Mech. 71, 407.Google Scholar
Landau, L. D., & Lifshitz, E. M. 1958 Quantum Mechanics. Pergamon.Google Scholar
Morse, P. M., & Feshbach, H. 1953 Methods of Mathematical Physics. McGraw-Hill.Google Scholar
Rudraiah, N., & Venkatachalappa, M. 1972 J. Fluid Mech. 54, 217.Google Scholar