Unified formalism of the linearized compressible flow fields
Author:
Iwao Hosokawa
Journal:
Quart. Appl. Math. 22 (1964), 133-142
MSC:
Primary 76.35
DOI:
https://doi.org/10.1090/qam/167100
MathSciNet review:
167100
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- G. N. Ward, Linearized theory of steady high-speed flow, Cambridge, at the University Press, 1955. MR 0067649
- Theodore von Karman, The similarity law of transonic flow, J. Math. Phys. Mass. Inst. Tech. 26 (1947), 182–190. MR 22504, DOI https://doi.org/10.1002/sapm1947261182
K. Oswatitsch and F. Keune, The flow around bodies of revolution at Mach number 1, Proc. Conf. on High-Speed Aeronautics, Polytech. Inst. Brooklyn, N. Y., 1955, p. 113
P. F. Maeder and H. U. Thommen, Some results of linearized transonic flow about slender airfoils and bodies of revolution, J. Aero. Sci. 23 (1956) 187
- Iwao Hosokawa, A refinement of the linearized transonic flow theory, J. Phys. Soc. Japan 15 (1960), 149–157. MR 110383, DOI https://doi.org/10.1143/JPSJ.15.149
- P. F. Maeder and H. U. Thommen, Linearized transonic flow about slender bodies at zero angle of attack, Trans. ASME Ser. E. J. Appl. Mech. 28 (1961), 481–490. MR 136232
J. R. Spreiter and A. Y. Alksne, Thin airfoil theory based on approximate solution of the transonic flow equation, NACA Rep. 1359 (1958), and Slender body theory based on approximate solution of the transonic flow equation, NASA Rep. 2 (1959)
- Karl-Richard Dorfner, Dreidimensionale Überschallprobleme der Gasdynamik, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1957 (German). MR 0087428
L. Schwartz, Théorie des distributions, Hermann, Paris, Vol. I (1950), Vol. II (1951)
- John R. Spreiter, On alternative forms for the basic equations of transonic flow theory, J. Aeronaut. Sci. 21 (1954), 70–72. MR 58401
- A. Robinson and J. A. Laurmann, Wing theory, Cambridge, at the University Press, 1956. MR 0082299
- N. I. Muskhelishvili, Singular integral equations, Wolters-Noordhoff Publishing, Groningen, 1972. Boundary problems of functions theory and their applications to mathematical physics; Revised translation from the Russian, edited by J. R. M. Radok; Reprinted. MR 0355494
G. N. Ward, Linearized theory of steady high-speed flow, Cambridge University Press, 1955
Th. von Kármán, The similarity law of transonic flow, J. Math. Phy. 26 (1947) 182
K. Oswatitsch and F. Keune, The flow around bodies of revolution at Mach number 1, Proc. Conf. on High-Speed Aeronautics, Polytech. Inst. Brooklyn, N. Y., 1955, p. 113
P. F. Maeder and H. U. Thommen, Some results of linearized transonic flow about slender airfoils and bodies of revolution, J. Aero. Sci. 23 (1956) 187
I. Hosokawa, A refinement of the linearized transonic flow theory, J. Phys. Soc. Japan 15, (1960) 149
P. F. Maeder and H. U. Thommen, Linearized transonic flow about slender bodies at zero angle of attack, J. Appl. Mech. 28 (1961) 481
J. R. Spreiter and A. Y. Alksne, Thin airfoil theory based on approximate solution of the transonic flow equation, NACA Rep. 1359 (1958), and Slender body theory based on approximate solution of the transonic flow equation, NASA Rep. 2 (1959)
K. R. Dorfner, Dreidimensionale Überschallprobleme der Gasdynamik, Springer-Verlag, 1957
L. Schwartz, Théorie des distributions, Hermann, Paris, Vol. I (1950), Vol. II (1951)
J. R. Spreiter, On alternative forms for the basic equations of transonic flow theory, J. Aero. Sci. 20, (1954) 70
A. Robinson and J. A. Laurmann, Wing theory, Cambridge University Press, 1956, p. 225
N. I. Muskhelishvili, Singular integral equations, Noordhoff, Groningen, 1953 (translation of the 2nd ed., Moscow, 1946)
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Article copyright:
© Copyright 1964
American Mathematical Society