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Titolo: Threedimensional centrifugalflow instabilities in the liddrivencavity problem
Autore: Albensoeder, S; Kuhlmann, HC; Rath, HJ;
 Indirizzi:
 Univ Bremen, ZARM, D28359 Bremen, Germany Univ Bremen Bremen Germany D28359 Bremen, ZARM, D28359 Bremen, Germany
 Titolo Testata:
 PHYSICS OF FLUIDS
fascicolo: 1,
volume: 13,
anno: 2001,
pagine: 121  135
 SICI:
 10706631(200101)13:1<121:TCIITL>2.0.ZU;2U
 Fonte:
 ISI
 Lingua:
 ENG
 Soggetto:
 FINITEELEMENT METHOD; LINEARSTABILITY; EDDY STRUCTURE; STOKESFLOW; RECIRCULATING FLOW; REYNOLDSNUMBER; VISUALIZATION; FLUID;
 Tipo documento:
 Article
 Natura:
 Periodico
 Settore Disciplinare:
 Physical, Chemical & Earth Sciences
 Citazioni:
 47
 Recensione:
 Indirizzi per estratti:
 Indirizzo: Albensoeder, S Univ Bremen, ZARM, D28359 Bremen, Germany Univ Bremen Bremen Germany D28359 28359 Bremen, Germany



 Citazione:
 S. Albensoeder et al., "Threedimensional centrifugalflow instabilities in the liddrivencavity problem", PHYS FLUIDS, 13(1), 2001, pp. 121135
Abstract
The classical rectangular liddrivencavity problem is considered in whichthe motion of an incompressible fluid is induced by a single lid moving tangentially to itself with constant velocity. In a system infinitely extended in the spanwise direction the flow is twodimensional for small Reynolds numbers. By a linear stability analysis it is shown that this basic flow becomes unstable at higher Reynolds numbers to four different threedimensional modes depending on the aspect ratio of the cavity's cross section. For shallow cavities the most dangerous modes are a pair of threedimensional short waves propagating spanwise in the direction perpendicular to the basic flow. The mode is localized on the strong basicstate eddy that is created at the downstream end of the moving lid when the Reynolds number is increased. In the limit of a vanishing layer depth the critical Reynolds number approaches a finite asymptotic value. When the depth of the cavity is comparable to its width, two different centrifugalinstability modes can appear depending on the exact value of the aspect ratio. One of these modes is stationary, the other one is oscillatory. For unit aspect ratio (square cavity),the critical mode is stationary and has a very short wavelength. Experiments for the square cavity with a large span confirm this instability. It is argued that this threedimensional mode has not been observed in all previous experiments, because the instability is suppressed by sidewall effects in smallspan cavities. For large aspect ratios, i.e., for deep cavities, the critical threedimensional mode is stationary with a long wavelength. The critical Reynolds number approaches a finite asymptotic value in the limit of an infinitely deep cavity. (C) 2001 American Institute of Physics.
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Documento generato il 26/01/20 alle ore 09:54:02