Summary
The supersonic flow of an ideal gas past an inclined slender body of revolution, can be approximately determined by linearization of the differential equations. For this purpose generally a distribution of sources, sinks and doublets is taken (von Kármán, Moore, Tsien). For a composed body of revolution having a central body and several rings, this procedure is cumbersome. It is shown that such flows can very simply be detemined by means of a characteristics-method. Surfaces of discontinuity and their multiple reflexion on the walls do not present much difficulty. The method is illustrated by some simple examples. It is to be mentioned that the method can be extended also to be general, not linearized, differential equations.
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Literatur
Vgl. etwa:R. Sauer,Theoretische Einjührung in die Gasdynamik (Springer, Berlin 1943). —R. Courant undK. O. Friedrichs,Supersonic Flow and Shock Waves (Interscience Publishers, New York 1948).—A. Ferri,Elements of Aerodynamics of Supersonic Flows (Macmillan, New York 1949).
W. Haack undG. Hellwig Math. Z.53, 244–266; 340–355 (1950).
Vgl. etwa:R. Sauer,Theoretische Einführung in die Gasdynamik (Springer, Berlin 1943). —R. Courant undK. O. Friedrichs,Supersonic Flow and Shock Waves (Interscience Publishers, New York 1948).—A. Ferri,Elements of Aerodynamics of Supersonic Flows (Macmillan, New York 1949).
Von Kármán undMoore Am. Soc. Mech. Eng.54, 303 (1932).
Tsien undShue-Shen, J. Aeron. Sci.5, 480–483 1938).
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Ordentlicher Professor an der Technischen Universität und Honorarprofessor an der Freien Universität Berlin.
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Haack, W. Charakteristikenverfahren zur näherungsweisen Berechnung der unsymmetrischen Überschallströmung um ringförmige Körper. Journal of Applied Mathematics and Physics (ZAMP) 2, 357–375 (1951). https://doi.org/10.1007/BF02579698
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DOI: https://doi.org/10.1007/BF02579698