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New self-similar solutions for the unsteady one-dimensional expansion of a gas into a vacuum

by: R. F. Schmalz
Physics of Fluids, Vol. 28, No. 9. (1985), pp. 2923-2925, doi:10.1063/1.865214  Key: citeulike:12139621

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Abstract

New simple self‐similar solutions for the unsteady expansion of a gas into a vacuum are found. They describe supersonic rarefaction in cylindrical and spherical symmetry for an arbitrary adiabatic index. An inner boundary exists at a constant self‐similar coordinate. In the asymptotic region a universal isothermal density law is given which depends only on geometry. Important applications lie in the field of laser‐generated plasmas.


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