Hostname: page-component-cd9895bd7-p9bg8 Total loading time: 0 Render date: 2024-12-28T07:49:38.744Z Has data issue: false hasContentIssue false

On the expansion of a gas into vacuum

Published online by Cambridge University Press:  28 March 2006

H. P. Greenspan
Affiliation:
Mathematics Department, Massachusetts Institute of Technology
D. S. Butler
Affiliation:
Mathematics Department, Massachusetts Institute of Technology Permanent address: Armament Research and Development Establishment, Fort Halstead, Sevenoaks, Kent, England.

Abstract

A study is made of the flow into vacuum of a gas initially at rest in a state of uniform pressure and density; the analysis is based on a continuum model. Among the topics discussed are the motion of the gas-vacuum interface, the reflexion of a plane front off a rigid wall, the propagation of compressive waves within such expansions, the escape from a sphere and the collapse of a spherical cavity.

Type
Research Article
Copyright
© 1962 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Chisnell, R. F. 1955 J. Fluid Mech. 2, 286.
Copson, E. T. 1950 Mon. Not. R. Ast. Soc. 110, 238.
Friedman, M. F. 1961 J. Fluid Mech. 11, 1.
Hunter, C. 1960 J. Fluid Mech. 8, 241.
Keller, J. B. 1948 Comm. Pure Appl. Math. 1, 275.
Keller, J. B. 1957 Quart. Appl. Math. 14, 171184.
Pack, D. C. 1953 Mon. Not. R. Ast. Soc. 113, 4351.
Sakurai, A. 1960 Comm. Pure Appl. Math. 13, 353.
Stanyukovich, K. P. 1960 Unsteady Motion of Continuous Media. New York: Pergamon Press.
Whitham, G. B. 1958 J. Fluid Mech. 4, 337.