Supersonic solutions of the solar-wind equations

Details Supersonic solutions of the solar-wind equations Supersonic solutions of the solar-wind equations

Jun 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995sowi.conf...30c&link_type=abstract

Rice Univ., International Solar Wind 8 Conference, p. 30

Other

Solar Wind, Plasma Acceleration, Solar Flux Density, Supersonic Flow, Mathematical Models, Gravitational Fields, Thermal Energy, Temperature Gradients, Conductive Heat Transfer, Stellar Models

Scientific paper

We re-examine the inviscid solar-wind equations with heat conduction from below, and establish a fundamentally new approach for finding stellar solutions. Although the problem is fourth order, only two independent integration constants can be assigned, since two boundary conditions that are required to specify well-behaved supersonic solutions determine the values of the other two constants. The solar-wind-model of Noble and Scarf are essentially accurate for practical purposes, but in a fundamental sense they are not self-consistent. At the supersonic level, the ratio of thermal energy to gravitational potential, (kTr/GMm)s, must lie in a narrow range, between 0.4375 and about 0.40, to permit well-behaved solutions for ionized hydrogen. For a supersonic solution this ratio uniquely determines the constants A and epsilon, which in turn govern not only the escape flux and the energy flux per particle but also T'(lambda approaches 0), the temperature gradient at infinity. It is very difficult to find solutions by trial and error, without employing T'(0) as a guide to the iteration of A and epsilon, because not only must (kTr/GMm)s be chosen within the acceptable range but then either A or epsilon must be guessed with phenomenal accuracy. Otherwise the numerical integration of temperature and expansion velocity do not yield acceptable values at infinity.

Affiliated with

Also associated with

No associations

Rating

Supersonic solutions of the solar-wind equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Supersonic solutions of the solar-wind equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Supersonic solutions of the solar-wind equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-759761