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Three-dimensional instabilities over a rectangular open cavity: from linear stability analysis to experimentation

Published online by Cambridge University Press:  28 April 2014

J. de Vicente ,
J. Basley ,
F. Meseguer-Garrido ,
J. Soria  and
V. Theofilis
J. de Vicente*
Affiliation:
School of Aerospace Engineering, Universidad Politécnica de Madrid, Pza. Cardenal Cisneros 3, E-28040 Madrid, Spain
J. Basley
Affiliation:
Laboratory for Turbulence Research in Aerospace and Combustion, Department of Mechanical and Aerospace Engineering, Monash University, Clayton 3800, Australia CNRS, Laboratoire d’Informatique pour la Mécanique et les Sciences de l’Ingénieur, F-91403 Orsay, France Université Paris-Sud, F-91405 Orsay, France
F. Meseguer-Garrido
Affiliation:
School of Aerospace Engineering, Universidad Politécnica de Madrid, Pza. Cardenal Cisneros 3, E-28040 Madrid, Spain
J. Soria
Affiliation:
Laboratory for Turbulence Research in Aerospace and Combustion, Department of Mechanical and Aerospace Engineering, Monash University, Clayton 3800, Australia
V. Theofilis
Affiliation:
School of Aerospace Engineering, Universidad Politécnica de Madrid, Pza. Cardenal Cisneros 3, E-28040 Madrid, Spain
*
†Email address for correspondence: [email protected]
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Abstract

Three-dimensional instabilities arising in open cavity flows are responsible for complex broad-banded dynamics. Existing studies either focus on theoretical properties of ideal simplified flows or observe the final state of experimental flows. This paper aims to establish a connection between the onset of the centrifugal instabilities and their final expression within the fully saturated flow. To that end, a linear three-dimensional modal instability analysis of steady two-dimensional states developing in an open cavity of aspect ratio $L/D=2$ (length over depth) is conducted. This analysis is performed together with an experimental study in the same geometry adding spanwise endwalls. Two different Reynolds numbers are investigated through spectral analyses and modal decomposition. The physics of the flow is thoroughly described exploiting the strengths of each methodology. The main flow structures are identified and salient space and time scales are characterised. Results indicate that the structures obtained from linear analysis are mainly consistent with the fully saturated experimental flow. The analysis also brings to light the selection and alteration of certain wave properties, which could be caused by nonlinearities or the change of spanwise boundary conditions.

JFM classification

Instability: Instability
Type
Papers
Information
Journal of Fluid Mechanics , Volume 748 , 10 June 2014 , pp. 189 - 220
Copyright
© 2014 Cambridge University Press 

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