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Three-dimensional flow instability in a lid-driven isosceles triangular cavity

Published online by Cambridge University Press:  22 March 2011

L. M. GONZÁLEZ ,
M. AHMED ,
J. KÜHNEN ,
H. C. KUHLMANN  and
V. THEOFILIS
L. M. GONZÁLEZ*
Affiliation:
School of Naval Engineering, Universidad Politécnica de Madrid, Pza. Cardenal Cisneros 3, E-28040 Madrid, Spain
M. AHMED
Affiliation:
Institute of Fluid Mechanics and Heat Transfer, Vienna University of Technology, Resselgasse 3/1/2, A-1040 Vienna, Austria
J. KÜHNEN
Affiliation:
Institute of Fluid Mechanics and Heat Transfer, Vienna University of Technology, Resselgasse 3/1/2, A-1040 Vienna, Austria
H. C. KUHLMANN*
Affiliation:
Institute of Fluid Mechanics and Heat Transfer, Vienna University of Technology, Resselgasse 3/1/2, A-1040 Vienna, Austria
V. THEOFILIS
Affiliation:
School of Aeronautics, Universidad Politécnica de Madrid, Pza. Cardenal Cisneros 3, E-28040 Madrid, Spain
*
†Email address for correspondence: leo.gonzalez@upm.es, h.kuhlmann@tuwien.ac.at
†Email address for correspondence: leo.gonzalez@upm.es, h.kuhlmann@tuwien.ac.at
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Abstract

Linear three-dimensional modal instability of steady laminar two-dimensional states developing in a lid-driven cavity of isosceles triangular cross-section is investigated theoretically and experimentally for the case in which the equal sides form a rectangular corner. An asymmetric steady two-dimensional motion is driven by the steady motion of one of the equal sides. If the side moves away from the rectangular corner, a stationary three-dimensional instability is found. If the motion is directed towards the corner, the instability is oscillatory. The respective critical Reynolds numbers are identified both theoretically and experimentally. The neutral curves pertinent to the two configurations and the properties of the respective leading eigenmodes are documented and analogies to instabilities in rectangular lid-driven cavities are discussed.

JFM classification

Instability: Instability Instability: Transition to turbulence
Type
Papers
Information
Journal of Fluid Mechanics , Volume 675 , 25 May 2011 , pp. 369 - 396
Copyright
Copyright © Cambridge University Press 2011

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References

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