Astronomy and Astrophysics – Astronomy
Scientific paper
Feb 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978mnras.182..371y&link_type=abstract
Monthly Notices of the Royal Astronomical Society, vol. 182, Feb. 1978, p. 371-380.
Astronomy and Astrophysics
Astronomy
9
Gas Pressure, Interstellar Gas, Stellar Evolution, Stellar Mass Accretion, Acoustic Velocity, Asymptotic Methods, Bernoulli Theorem, Energy Conservation, Flow Velocity, Karman Vortex Street, Specific Heat, Stagnation Point, X Ray Sources
Scientific paper
The Bondi-Hoyle (1944) equation of line accretion is modified by taking into account the pressure of the gas in the accretion stream and supplemented by Bernoulli's equation, which expresses the conservation of gas energy. The nature of the resulting accretion flow is examined, and it is shown that if the requirement that the gas velocity should approach the unperturbed relative velocity at great distances is imposed, a unique solution can be obtained for values of the ratio of specific heats (gamma) that are of practical interest. If this requirement is not imposed, an infinite set of solutions can be found such that the velocity in the accretion stream approaches the value of the unperturbed relative velocity times (gamma - 1)/(gamma + 1). The nature of the singularity at the stagnation point is investigated, asymptotic solutions are considered, and a fast solution is evaluated along with some intermediate solutions.
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