Canonical equations for non-linearized steady irrotational conical flow
Authors:
J. H. Giese and H. Cohn
Journal:
Quart. Appl. Math. 12 (1955), 351-360
MSC:
Primary 76.1X
DOI:
https://doi.org/10.1090/qam/69679
MathSciNet review:
69679
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- Dorothy L. Bernstein, Existence Theorems in Partial Differential Equations, Annals of Mathematics Studies, No. 23, Princeton University Press, Princeton, N. J., 1950. MR 0037440
- J. B. Broderick, Supersonic flow past a semi-infinite cone, Quart. J. Mech. Appl. Math. 2 (1949), 121–128. MR 29642, DOI https://doi.org/10.1093/qjmam/2.1.121
A. Busemann, Drücke auf kegelförmige Spitzen bei Bewegung mit überschallgeschwindigkeit, ZaMM 9, 496-498 (1929).
- A. Busemann, Die achsensymmetrische kegelige Überschallströmung, Luftfahrtforschung 19 (1942), 137–144 (German). MR 7318
- Adolf Busemann, Infinitesimale kegelige Überschallströmung, Schr. Deutsch. Akad. Luftfahrtforschung 7B (1943), 105–121 (German). MR 0019466
R. Courant & D. Hilbert, Methoden der mathematischen Physik, vol. 2, Berlin 1937.
R. Courant & M. Shiffer, Dirichlet’s principle, conformal mapping, and minimal surfaces, N. Y. 1950.
- Antonio Ferri, Supersonic flow around circular cones at angles of attack, Tech. Notes Nat. Adv. Comm. Aeronaut. 1950 (1950), no. 2236, 30. MR 0041631
- Paul Germain, La théorie générale des mouvements coniques et ses applications à l’aérodynamique supersonique, O.N.E.R.A. Publ. 1949 (1949), no. 34, viii+197 (French). MR 38783
- J. H. Giese and H. Cohn, Two new non-linearized conical flows, Quart. Appl. Math. 11 (1953), 101–108. MR 52944, DOI https://doi.org/10.1090/S0033-569X-1953-52944-4
- P. A. Lagerstrom, Linearized supersonic theory of conical wings, Tech. Notes Nat. Adv. Comm. Aeronaut. 1948 (1948), no. 1685, viii+161. MR 0026501
- O. Laporte and R. C. F. Bartels, An investigation of the exact solutions of the linearized equations for the flow past conical bodies, Bumblebee Report No. 75, Engineering Research Institute, University of Michigan, Ann Arbor, 1948. MR 0024751
J. W. Maccoll, The conical shock wave formed by a cone moving at a high speed, Proc. Roy. Soc. (A) 159, 459-472 (1937).
- Stephen H. Maslen, Supersonic conical flow, NACA Tech. Note 1952 (1952), no. 2651, 32. MR 49735
- W. E. Moeckel, Use of characteristic surfaces for unsymmetrical supersonic flow problems, Tech. Notes Nat. Adv. Comm. Aeronaut. 1949 (1949), no. 1849, 49. MR 0029638
F. K. Moore, Second approximation to conical flows, J. Aero. Sci. 17, 328-334 (1950).
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S. S. Shu, On Taylor and Maccoll’s equations of a cone moving in the air with supersonic speed, Bull. Am. Math. Soc. 52, 882 (1946).
- H. J. Stewart, The lift of a delta wing at supersonic speeds, Quart. Appl. Math. 4 (1946), 246–254. MR 17096, DOI https://doi.org/10.1090/S0033-569X-1946-17096-3
- A. H. Stone, On supersonic flow past a slightly yawning cone, J. Math. Physics 27 (1948), 67–81. MR 0024753
G. I. Taylor & J. W. Maccoll, The air pressure on a cone moving at high speeds, Proc. Roy. Soc. (A) 139, 278-311 (1933).
M. van Dyke, A study of second-order supersonic flow, NACA TN 2200.
D. L. Bernstein, Existence theorems in partial differential equations, Princeton 1950.
J. B. Broderick, Supersonic flow past a semi-infinite cone, Quart. Jour. Mech. Appl. Math. 2, 121-128 (1949).
A. Busemann, Drücke auf kegelförmige Spitzen bei Bewegung mit überschallgeschwindigkeit, ZaMM 9, 496-498 (1929).
A. Busemann, Die achsensymmetrische kegelige überschallströmung, Luftfahrtforschung 19, 137-144 (1942).
A. Busemann, Infinitesimale kegelige überschallströmung, Schriften der Deutschen Akademie für Luftfahrtforschung 7B, 105-122 (1943); also NACA TM 1100.
R. Courant & D. Hilbert, Methoden der mathematischen Physik, vol. 2, Berlin 1937.
R. Courant & M. Shiffer, Dirichlet’s principle, conformal mapping, and minimal surfaces, N. Y. 1950.
A. Ferri, Supersonic flow around circular cones at angles of attack, NACA TN 2236 (1950).
P. Germain, La théorie générale des mouvements coniqnes et ses applications a l’aerodynamique supersonique, ONERA Pub. No. 34 (1949).
J. H. Giese & H. Cohn, Two new non-linearized conical flows, Q. Appl. Math. 11, 101-108 (1953).
P. A. Lagerstrom, Linearized supersonic theory of conical wings, NACA TN 1685 (1948).
O. Laporte & R. C. F. Bartels, An investigation of the exact solutions of the linearized equations for the flow past conical bodies, Univ. Mich. Eng. Res. Inst. Rep. No. 75 (1948).
J. W. Maccoll, The conical shock wave formed by a cone moving at a high speed, Proc. Roy. Soc. (A) 159, 459-472 (1937).
S. H. Maslen, Supersonic conical flow, NACA TN 2651 (1952).
W. F. Moeckel, Use of characteristic surfaces for unsymmetrical supersonic flow problems, NACA TN 1849 (1949).
F. K. Moore, Second approximation to conical flows, J. Aero. Sci. 17, 328-334 (1950).
M. Shiftman, On the existence of subsonic flows of a compressible fluid, J. Rat. Mech. and Anal. 1, 605-652 (1952).
S. S. Shu, On Taylor and Maccoll’s equations of a cone moving in the air with supersonic speed, Bull. Am. Math. Soc. 52, 882 (1946).
H. J. Stewart, The lift of a delta wing at supersonic speed, Q. Appl. Math. 4, 246-254 (1946).
A. H. Stone, On supersonic flow past a slightly yawing cone, J. Math. Phys. 27, 67-81 (1948).
G. I. Taylor & J. W. Maccoll, The air pressure on a cone moving at high speeds, Proc. Roy. Soc. (A) 139, 278-311 (1933).
M. van Dyke, A study of second-order supersonic flow, NACA TN 2200.
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© Copyright 1955
American Mathematical Society