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Velocity field and parametric analysis of a subsonic, medium-Reynolds number cavity flow

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Abstract

Cavity flows are a class of flows bounded by material structures, where a recirculation region is present, and they are found in many practical applications. In the present study, the interaction between a boundary layer and an open parallelepipedic cavity develops a Kelvin–Helmholtz-like instability coupled with the cavity recirculation. PIV measurements of the flow are carried out in two orthogonal planes inside the cavity, for different aspect ratios, incompressible flow conditions, and Reynolds numbers in the range 1,900–12,000. Mean velocity and second-order moments of velocity fluctuations reveal the flow morphology. For particular conditions, centrifugal instabilities appear that are induced by flow curvature due to wall confinement. The use of an identification criterion indicates the presence of pairs of counter-rotating vortices winded around the recirculation. A parametric analysis is conducted, and the inviscid Rayleigh discriminant provides the potentially unstable flow regions inside the cavity. Finally, a stability parameter considering the ratio between centrifugal destabilizing effects and stabilizing viscous effects is carried out and gives thresholds for the emergence of the centrifugal instability. The study draws to an end with a comparison with a well-documented lid-driven cavity flow.

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Acknowledgments

The author gratefully acknowledges Vincent Bourdin, Vincent Gautier, and Yves Maire for their technical assistance on the experimental facility and wish to thank François Lusseyran, Luc Pastur, and Yann Fraigneau for fruitful discussions during the course of this work.

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  1. Thierry M. Faure

    Present address: Centre de Recherche de l’Armée de l’air (CReA), École de l’Air, B.A. 701, 13661, Salon-de-Provence, France

Authors and Affiliations

  1. Université Pierre et Marie Curie, Sorbonne Universités, 4 place Jussieu, 75252, Paris Cedex 05, France

    Thierry M. Faure

  2. Université Paris-Sud, 91405, Orsay Cedex, France

    Thierry M. Faure

  3. Laboratoire d’Informatique pour la Mécanique et les Sciences de l’Ingénieur, Unité Propre de Recherche 3251, Centre National de la Recherche Scientifique, bât. 508 rue J. Von Neumann, B.P. 133, 91403, Orsay Cedex, France

    Thierry M. Faure

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Correspondence to Thierry M. Faure.

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Faure, T.M. Velocity field and parametric analysis of a subsonic, medium-Reynolds number cavity flow. Exp Fluids 55, 1822 (2014). https://doi.org/10.1007/s00348-014-1822-5

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