Exact solutions of compressible plane potential flows—a new method
Authors:
O. P. Chandna and I. Husain
Journal:
Quart. Appl. Math. 59 (2001), 175-191
MSC:
Primary 76N15; Secondary 76M40
DOI:
https://doi.org/10.1090/qam/1811102
MathSciNet review:
MR1811102
Full-text PDF Free Access
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Additional Information
- O. P. Chandna, I. Husain, and A. Latypov, Exact solutions of compressible plane potential flows—a new approach, Arch. Rational Mech. Anal. 137 (1997), no. 2, 177–201. MR 1463794, DOI https://doi.org/10.1007/s002050050027
S. A. Chaplygin, On Gas Jets, Sci. Ann. Imperial Univ. Moscow, Physico-Mathematical Div., No. 21, Moscow, 1904 (available in translation as NACA TM 1063)
- R. Courant and K. O. Friedrichs, Supersonic Flow and Shock Waves, Interscience Publishers, Inc., New York, N. Y., 1948. MR 0029615
- J. W. Craggs, The compressible flow corresponding to a line doublet, Quart. Appl. Math. 10 (1952), 88–93. MR 46232, DOI https://doi.org/10.1090/S0033-569X-1952-46232-4
- M. H. Martin, The flow of a viscous fluid. I, Arch. Rational Mech. Anal. 41 (1971), 266–286. MR 342014, DOI https://doi.org/10.1007/BF00250530
P. Molenbroek, Über einige Bewegungen eines Gases mit Annahme eines Geschwindigkeitspotentials, Archiv Math. und Phys., Bd. 2, Heft 9, p. 157, 1890
A. H. Shapiro, The Dynamics and Thermodynamics of Compressible Fluid Flow, Vol. 1, Ronald Press, New York, 1953
- G. I. Taylor, Recent Work on the Flow of Compressible Fluids, J. London Math. Soc. 5 (1930), no. 3, 224–240. MR 1574079, DOI https://doi.org/10.1112/jlms/s1-5.3.224
- Th. von Kármán, Compressibility effects in aerodynamics, J. Aeronaut. Sci. 8 (1941), 337–356. MR 5848
- Richard von Mises, Mathematical theory of compressible fluid flow, Academic Press, Inc., New York, N.Y., 1958. Applied mathematics and mechanics. Vol. 3. MR 0094996
C. E. Wathernburn, Differential Geometry of Three Dimensions, Cambridge, 1939
- L. C. Woods, The theory of subsonic plane flow, Cambridge Aeronautical Series, Vol. III. Cambridge University Press, New York, 1961. MR 0127679
O. P. Chandna, I. Husain, and A. Latypov, Exact solutions of compressible plane potential flows—A new approach, Arch. Rational Mech. Anal. 137, 177–201 (1997)
S. A. Chaplygin, On Gas Jets, Sci. Ann. Imperial Univ. Moscow, Physico-Mathematical Div., No. 21, Moscow, 1904 (available in translation as NACA TM 1063)
R. Courant and K. O. Friedrichs, Supersonic Flow and Shock Waves, Wiley (Interscience), New York, 1948
J. W. Craggs, The compressible flow corresponding to a line doublet, Quart. Appl. Math. 10, 88–93 (1952)
M. H. Martin, The flow of a viscous fluid I, Arch. Rational Mech. Anal. 41, 266–286 (1971)
P. Molenbroek, Über einige Bewegungen eines Gases mit Annahme eines Geschwindigkeitspotentials, Archiv Math. und Phys., Bd. 2, Heft 9, p. 157, 1890
A. H. Shapiro, The Dynamics and Thermodynamics of Compressible Fluid Flow, Vol. 1, Ronald Press, New York, 1953
G. I. Taylor, Recent work on the flow of compressible fluids, J. London Math. Soc. 5, 224–240 (1930)
Th. von Kármám, Compressibility effects in aerodynamics, J. Aero. Sci. 8, no. 9, 337–356 (1941)
R. von Mises, Mathematical Theory of Compressible Fluid Flow, Academic Press, New York, 1958
C. E. Wathernburn, Differential Geometry of Three Dimensions, Cambridge, 1939
L. C. Woods, The Theory of Subsonic Plane Flow, Cambridge University Press, 1961
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© Copyright 2001
American Mathematical Society
