A note on the hodograph transformation
Author:
A. R. Manwell
Journal:
Quart. Appl. Math. 10 (1952), 177-184
MSC:
Primary 76.1X
DOI:
https://doi.org/10.1090/qam/49021
MathSciNet review:
49021
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Additional Information
P. Molenbroek, Über einige Bewegungen eines Gases bei Annahme eines Geschwindigkeitspotentials, Archiv. Math. Phys. 9, 157-195 (1890).
S. A. Chaplygin, On gas jets, Ann. Imp. Univ. Mosc. (Phys-Math.) 21, 1-121 (1904).
- Hsue-shen Tsien, The “limiting line” in mixed subsonic and supersonic flow of compressible fluids, Tech. Notes Nat. Adv. Comm. Aeronaut. 1944 (1944), no. 961, 29 pp. (4 plates). MR 0015986
- 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 breakdown of the hodograph transformation for irrotational compressible fluid flow in two dimensions, Proc. Cambridge Philos. Soc. 44 (1948), 360–379. MR 29627
- K. O. Friedrichs, On the non-occurrence of a limiting line in transonic flow, Communications on Appl. Math. 1 (1948), 287–301. MR 29617, DOI https://doi.org/10.1002/cpa.3160010305
- A. R. Manwell, A method of variation for flow problems. I, Quart. J. Math. Oxford Ser. 20 (1949), 166–189. MR 31894, DOI https://doi.org/10.1093/qmath/os-20.1.166
F. I. Frankl, On the formation of shock waves in subsonic flows with local supersonic velocities, (Transl.), N.A.C.A. Tech. Mem. 1251.
G. Guderley, On the transition from a transonic potential flow to a flow with shocks, Air. Mat. Comm., T-2, F-TR-2160, ND.
P. Molenbroek, Über einige Bewegungen eines Gases bei Annahme eines Geschwindigkeitspotentials, Archiv. Math. Phys. 9, 157-195 (1890).
S. A. Chaplygin, On gas jets, Ann. Imp. Univ. Mosc. (Phys-Math.) 21, 1-121 (1904).
H. S. Tsien, The limiting line in mixed subsonic and supersonic flow of compressible fluids, N.A.C.A. Tech. Note 961 (1944).
R. Courant and K. O. Friedrichs, Supersonic flow and shock waves, Interscience Publishers Inc., New York, 1948, p. 62.
J. Craggs, The breakdown of the hodograph transformation, Proc. Camb. Phil. Soc. 44, 360-379 (1948).
K. O. Friedrichs and D. Flanders, On the non-occurrence of a limiting line in transonic flow, Com. App. Math. (1) 3, 287-301 (1948).
A. R. Manwell, A method of variation for flow problems, Quart. Journ. Math. (Oxford) 20, 166-189 (1949).
F. I. Frankl, On the formation of shock waves in subsonic flows with local supersonic velocities, (Transl.), N.A.C.A. Tech. Mem. 1251.
G. Guderley, On the transition from a transonic potential flow to a flow with shocks, Air. Mat. Comm., T-2, F-TR-2160, ND.
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Article copyright:
© Copyright 1952
American Mathematical Society
