Accretion of gas having specific heat ratio 4/3 by a moving gravitating body

Astronomy and Astrophysics – Astronomy

Scientific paper

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Gas Flow, Gravitational Effects, Numerical Integration, Specific Heat, Astronomical Maps, Boundary Conditions, Boundary Value Problems, Contours, Mach Number, Shock Wave Propagation, Steady Flow, Time Dependence

Scientific paper

The flow about a gravitating body moving through a gas with a ratio of specific heats (gamma) equal to 4/3 is studied numerically. The boundary condition at the surface of the body is chosen such that the body accretes any impinging material unhindered by surface conditions, and a steady flow solution is obtained by numerical time integration of the time-dependent fluid equations from an initial state to a point where a steady situation has developed. Calculations are performed for 11 different Mach speeds in the range from 0.3 to 6.0. The results obtained for Mach speeds of 0.6, 1.5, and 3.6 are presented in the form of contour maps. It is shown that a flow when gamma is less than 5/3 is qualitatively different from a flow when gamma equals 5/3 in the following respects: (1) the primary shock is indented in the direction of the forward axis; (2) there is a secondary shock; and (3) the flow enters the body supersonically at all Mach speeds.

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