Supersonic solutions of the solar-wind equations: II. Supplementary considerations

Astronomy and Astrophysics – Astrophysics

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Particle Emission, Solar Wind, Hydrodynamics

Scientific paper

Recently I have published supersonic solutions of the inviscid solar-wind equations, obtained with an iterative approach that relates boundary conditions at the supersonic level to those at infinity. In the present paper, I examine further the nature of the solutions at infinity, and introduce a revised definition for one of the asymptotic coefficients. For Scarf-Noble solutions, the ratio of thermal energy to gravitational potential at the supersonic level, τs/λs≡(kTr/GMm)s, must lie in the narrow range between 0.4375 and about 0.4135. These limits are fixed by, respectively, infinite and zero conductive heat flow at infinity. The kinetic energy in the solar wind at infinity is only 10 to 14 times its value at the supersonic level, λs, regardless of the temperature at λs. At the higher temperatures in this range the vast majority of the available energy is transported to infinity by conduction. Finally, I have formulated the related problem of catastrophic blowoff for planetary atmospheres composed of neutral diatomic molecules. As with the solar problem, the presumption is that no radiant heat is absorbed above the supersonic level.

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