Summary
Differential equations are given for the stream functions of an unsteady three-dimensional flow in curvilinear oblique coordinates. Cylindrical and spherical coordinates are discussed as special cases. Solutions are given for small disturbances. As an example the stream functions of an unsteady quadrupol and of a source emitting simultaneously are calculated.
Literatur
L. Euler,Opera omnia, Serie II, Bd. 13, S. XIV, Gl. (204), und S. 102 § 45 (Lausanne 1955).
K. Oswatitsch,Physikalische Grundlagen der Strömungslehre; in: Handbuch der Physik, Bd. VIII/1 (1959), S. 80.
K. Oswatitsch,Die Stromflächen in schwach gestörten Parallelströmungen, (erscheint demnächst in der ZFW).
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schneider, W. Stromfunktionen für instationäre räumliche Strömungen in krummlinigen Koordinaten. Journal of Applied Mathematics and Physics (ZAMP) 17, 343–348 (1966). https://doi.org/10.1007/BF01601402
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DOI: https://doi.org/10.1007/BF01601402