New self-similar solutions for the unsteady one-dimensional expansion of a gas into a vacuum
- 1 September 1985
- journal article
- letter
- Published by AIP Publishing in Physics of Fluids
- Vol. 28 (9) , 2923-2925
- https://doi.org/10.1063/1.865214
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.Keywords
This publication has 5 references indexed in Scilit:
- Steady-state planar ablative flowPhysics of Fluids, 1982
- Self-similar flows with uniform velocity gradient and their use in modelling the free expansion of polytropic gasesJournal of Fluid Mechanics, 1980
- Power-driven and adiabatic expansions into vacuumPhysics of Fluids, 1980
- Similarity, Self-Similarity, and Intermediate AsymptoticsPublished by Springer Nature ,1979
- Self-similar motion of laser fusion plasmas. Absorption in an unbounded plasmaPhysics of Fluids, 1977