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Spherical Source Flow with a Finite Back Pressure
Journal article   Peer reviewed

Spherical Source Flow with a Finite Back Pressure

J. W. Brook and B. B. Hamel
The Physics of fluids (1958), v 15(11), pp 1898-1912
Nov 1972

Abstract

The interaction of a hypersonic spherical source flow with a rarefied background is investigated using the Boltzmann equation with model collision terms. Employing multifluid descriptions of the flow, it is found that two length scales, R p and R ∞ , are important in describing the interaction as the background becomes increasingly rarefied. Background scattering occurs on the scale of R p and jet scattering on the scale of R ∞ . Matched asymptotic expansions of the variables in the two regions are developed in terms of the parameter ε = R p /R ∞ →0 , and first‐order composite solutions constructed. These solutions describe the transition away from the perfect vacuum limit of the expanding flow.

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