Two dimensional source flow of a viscous fluid
Author:
H. C. Levey
Journal:
Quart. Appl. Math. 12 (1954), 25-48
MSC:
Primary 76.1X
DOI:
https://doi.org/10.1090/qam/63859
MathSciNet review:
63859
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Abstract: The steady two-dimensional source-type flow of a viscous heat-conducting perfect gas is investigated. The solutions of physical significance all contain shocks, and bounds are given for the shock-thickness in terms of the shock-strength and the Reynolds number of the flow. It is found that the entropy rises to a maximum within the shock, and this maximum does not disappear even when the viscosity tends to zero.
- Akira Sakurai, On the theory of cylindrical shock wave, J. Phys. Soc. Japan 4 (1949), 199–202. MR 38798, DOI https://doi.org/10.1143/JPSJ.4.199
F. Ringleb. Exact solutions of the differential equations of an adiabatic gas flow, Ministry of aircraft production, Great Britain, R.T.P. Translation 1609, circa 1942.
W. F. Durand. Aerodynamic Theory, Vol. III, Julius Springer, Berlin, 1934, Division H, ch. I.
R. Becker. Stosswelle und Detonation, Z.f. Physik 8, 321-362 (1922).
- E. Kamke, Differentialgleichungen reeller Funktionen, Chelsea Publishing Company, New York, N.Y., 1947 (German). MR 0020179
A. Sakurai. On the theory of cylindrical shock wave, Jour. phys. soc. Japan (4-6) 4, 199-202 (1949).
F. Ringleb. Exact solutions of the differential equations of an adiabatic gas flow, Ministry of aircraft production, Great Britain, R.T.P. Translation 1609, circa 1942.
W. F. Durand. Aerodynamic Theory, Vol. III, Julius Springer, Berlin, 1934, Division H, ch. I.
R. Becker. Stosswelle und Detonation, Z.f. Physik 8, 321-362 (1922).
E. Kamke. Differentialgleichungen Reeller Funktionen. Chelsea Publishing Company, New York, 1947, pp. 142-146.
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Article copyright:
© Copyright 1954
American Mathematical Society
