Document JFM 58.1304.01

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Sur la stabilité des fils des tourbillons de Kármán. (Russian) JFM 58.1304.01

Bulletin Acad. Sc. Leningrad (7) 1932, 1103-1108 (1932).

Kármán und Žukowski haben zwei verschiedene Bedingungen der Stabilität der unsymmetrischen Wirbelstraße abgeleitet: \(\text{cosh} \frac {\pi h}{l}=\sqrt {2}\) und \(\text{cosh}\frac {\pi h}{l} = \sqrt {3}\), wobei \(h\) die Breite der Straße und \(l\) der Wirbelabstand in einer Linie sind. Aber wie Verf. zeigt, waren dabei zwei ganz verschiedene Formulierungen des Problems berücksichtigt: Kármán betrachtet den Fall, wo alle Wirbel frei sind, Žukowski setzt voraus, daßnur ein Wirbel frei beweglich ist, während alle anderen fest sind. Aus einer Formulierung kann nicht die andere abgeleitet werden.

Reviewer: Žardecki.

JFM Section:

Zweiter Halbband. Sechster Abschnitt. Kapitel 4. Mechanik der Kontinua. B. Hydrostatik und Hydrodynamik. Haudraulik. Aerodynamik.

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