Astronomy and Astrophysics – Astronomy
Scientific paper
Nov 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985mnras.217..367s&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 217, Nov. 15, 1985, p. 367-386.
Astronomy and Astrophysics
Astronomy
115
Axisymmetric Flow, Flow Deflection, Gravitational Effects, Hydrodynamic Equations, Inviscid Flow, Boundary Conditions, Boundary Value Problems, Deposition, Hydrodynamic Coefficients, Ideal Gas, Mach Number, Rigid Structures, Supersonic Flow, Surface Roughness Effects
Scientific paper
Numerical calculations are performed for axisymmetric flow of inviscid ideal gas past a gravitating body. Cases based on two extreme boundary conditions on the surface of the body, i.e. a slippery condition on a rigid sphere and a maximum accretion condition on a hollow sphere, are computed and compared. The results are presented for Mach numbers of 0.6, 1.4, 2.4 and 5.0, and for the ratio of specific heats (gamma) of 1.1, 4/3, and 5/3. Supersonic flow passing an absorbing object shows a shock cone, which is a detached bow shock in the case of gamma = 5/3 while it is attached to the surface of the hollow sphere in the case of gamma = 1.1. The density is significantly higher immediately behind the shock than along the accretion axis in the cases of gamma = 5/3 and 4/3, and therefore it is appropriate to call it an accretion cone rather than an accretion column. However, in the case of gamma = 1.1, an accretion column is formed. Global features of the flow past a gravitating rigid sphere are similar to those of the accreting case, except very close to the body, where a countercurrent is formed. An accretion rate and a drag coefficient are computed and compared with the theoretical estimates, and reasonable agreements between them are obtained.
Matsuda Takuya
Sawada Kei
Shima Eiji
Takeda Hidenori
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