The flow of an infinite compressible fluid past a rigid, gravitating sphere and interacting degenerate star-red giant binaries

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Binary Stars, Compressible Fluids, Red Giant Stars, Stellar Mass Accretion, Stellar Models, Fluid Flow, Hypersonic Flow, Steady Flow, Stellar Gravitation, Streamlining

Scientific paper

Two examples of the flow structure of an infinite medium flowing hypersonically past a non-accreting, gravitating, rigid sphere are computed. The resulting flow depends strongly on the ratio A of kinetic energy at infinity to potential energy on the sphere's surface per unit mass. A equals 0.25 yields a flow rather like that past a hard, gravitationless sphere upstream, but with a closed shock downstream. A equals 0.028 yields a circulating eddy flow downstream of the sphere which causes the isodensity contours to be extended upstream. Application to a compact object immersed in a binary companion is discussed. The fluid flow past a degenerate star starting to spiral into its giant companion is illustrated pictorially. The accretion rates onto 'hard' gravitating objects can be many orders of magnitude less than the classical Hoyle-Lyttleton-Bondi rates unless cooling dominates the flow.

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