Short-wavelength compressive instabilities in cosmic ray shocks and heat conduction flows

Details Short-wavelength compressive instabilities in cosmic ray shocks and heat conduction flows Short-wavelength compressive instabilities in cosmic ray shocks and heat conduction flows

Jun 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987jplph..37..347z&link_type=abstract

Journal of Plasma Physics (ISSN 0022-3778), vol. 37, June 1987, p. 347-361. Research supported by the Council for Scientific and

Computer Science

Numerical Analysis

24

Conductive Heat Transfer, Cosmic Rays, Shock Waves, Short Wave Radiation, Solar Wind, Wave Equations, Energetic Particles, Energy Transfer, Numerical Analysis, Perturbation Theory, Thermal Plasmas, Wave Propagation

Scientific paper

The effects of relatively short-wavelength compressive perturbations on three types of nonuniform thermal-plasma flows are investigated analytically. A cosmic-ray shock, a heat-conduction-driven flow, and a Laval-nozzle flow are considered, and the growth and decay of the perturbations as they propagate through the flow structure are studied via a JWKB-expansion solution of the linearized equations governing the perturbation parameters. Spatial growth of the perturbations is found in all three cases for sufficiently supersonic decelerating flows. Due to the dominant effects of dissipative heating, however, it is concluded that the wave-action equation cannot be used as an unambiguous stability indicator.

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