Other
Scientific paper
Sep 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976apj...208..587s&link_type=abstract
Astrophysical Journal, vol. 208, Sept. 1, 1976, pt. 1, p. 587-594.
Other
Asymptotic Methods, Flow Equations, Solar Wind, Two Fluid Models, Viscous Fluids, Diffusion Waves, Electron Energy, Gas Pressure, Ion Temperature, Solar Electrons, Subsonic Flow, Supersonic Flow
Scientific paper
The viscous two-fluid solar-wind equations are analyzed, and small viscous effects are superposed on the inviscid supersonic solutions given by Lucas (1973), in an attempt to elucidate the nature of the various solutions and to isolate the physically relevant ones. It is assumed that there are sufficiently many collisions to justify a fluid description of the solar wind far from the sun as well as the inclusion of classical viscous stresses. The method of matched asymptotic expansions is used to analyze the singular perturbations that arise by virtue of the limit where heliocentric radius approaches infinity and viscosity approaches zero. In this limit, it is found that the (4/3, 4/3) solution is uniformly valid and that other solutions either merge into certain supersonic solutions, ultimately become subsonic through a diffuse shock, or merge into unphysical solutions.
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