A Variational Principle For MHD Waves In Non-Uniform Flows

Details A Variational Principle For MHD Waves In Non-Uniform Flows A Variational Principle For MHD Waves In Non-Uniform Flows

Dec 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003agufmsh32d..02w&link_type=abstract

American Geophysical Union, Fall Meeting 2003, abstract #SH32D-02

Physics

2149 Mhd Waves And Turbulence

Scientific paper

A variational approach for the propagation of linear MHD waves in a non-uniform background flow, such as the solar wind is developed. The analysis is based on the work of Dewar (1970) who used an averaged Lagrangian method to describe the interaction of WKB, MHD waves with a non-uniform background flow. Dewar's variational principle is used to describe non-WKB, MHD waves in a non-uniform background flow,including the effects of gravity and entropy wave disturbances.The equations consist of coupled wave equations for the Lagrangian fluid displacement, ξ , representing the Alfvén and magnetoacoustic waves, and the entropy advection equation for the Lagrangian entropy perturbation Δ S. In the case of steady background flows, with no entropy wave perturbations, the equations reduce to related equations used by Frieman and Rotenberg (1960) to study the stability of steady MHD flows.The characteristics of the equations are obtained by determining the characteristic manifolds on which the Cauchy problem for the waves does not have a unique solution. The characteristics are used to discuss the characteristics and Mach cone for steady MHD flows. A discussion is also given of stress energy tensors for the waves and background flow.

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