Hostname: page-component-586b7cd67f-l7hp2 Total loading time: 0 Render date: 2024-11-26T13:29:07.308Z Has data issue: false hasContentIssue false
  • English
  • Français

A family of exact solutions of one-dimensional anisentropic flow

Published online by Cambridge University Press:  24 October 2008

D. G. Weir
D. G. Weir
Affiliation:
Department of MathematicsThe Royal College of Science and TechnologyGlasgow
Get access Rights & Permissions [Opens in a new window]

Extract

Martin(1) has shown that if the pressure p and the Lagrange variable ψ (ψ = constant on a trajectory) are taken as independent variables, then problems in one-dimensional unsteady flow of an ideal gas reduce to the question of finding solutions of the Monge-Ampère equation

where τ = 1/ρ, ρ being the density, and S = S(ψ) is the specific entropy. Thus the right-hand term is a function of p and ψ depending upon the equation of state and the function S(ψ).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 57 , Issue 4 , October 1961 , pp. 890 - 894
Copyright
Copyright © Cambridge Philosophical Society 1961

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

REFERENCES

(1)Martin, M. H., Quart. Appl. Math. 8 (1950), 137–50.CrossRefGoogle Scholar
(2)Pack, D. C., Mon. Not. R. Astr. Soc. 113 (1953), 43–51.CrossRefGoogle Scholar
(3)Prim, R. C., Naval Ordnance Laboratory Memorandum 9264 (1947), SB Project no. 192.Google Scholar