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Excitation Condition for Self-Sustained Oscillation in Flow Past a Louvered Cavity

Published online by Cambridge University Press:  06 June 2017

Y. C. Zhang ,
Y. G. Xu ,
X. D. Chen  and
Y. F. Zhu
Y. C. Zhang
Affiliation:
School of Mechanical Electronic and Control EngineeringBeijing Jiaotong UniversityBeijing, China Transportation Institute of Inner Mongolia UniversityHohhot, China
Y. G. Xu*
Affiliation:
School of Mechanical Electronic and Control EngineeringBeijing Jiaotong UniversityBeijing, China
X. D. Chen
Affiliation:
School of Mechanical Electronic and Control EngineeringBeijing Jiaotong UniversityBeijing, China
Y. F. Zhu
Affiliation:
Beijing Key Laboratory of Metal Material CharacterizationCentral Iron & Steel Research InstituteBeijing, China
*
*Corresponding author (ygxu@bjtu.edu.cn)
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Abstract

Louvered cavities are extensively employed in engineering applications. In the configurations of flow past these cavities, self-sustained oscillations will be excited. This can give rise to structure vibrations or noise. Numerical models are established to analyze excitation condition for of these oscillations. Computational results reveal that the excitation condition can be quantitatively described by the ratio of gap width G to the boundary layer thickness δ at the separation edge. When G/δ exceeds a certain critical value G/δc, self-sustained oscillations are excited. Otherwise, disturbances will dissipate and the flow configuration along the louver will be like a parallel plate flow. The critical value G/δc decreases with the ratio of G to the thickness of the louver plate H. This suggests that the excitation condition is more easily satisfied for a louver with sparse fins. The bottom boundary of the cavity restricts the feedback flow and then suppresses the excitation of self-sustained oscillations. With an increasing cavity height Hc, which reflects the distance between the louver and the bottom boundary, the critical value G/δc decreases and the decreasing rate reduces gradually. In contrast, because G/δc is relatively insensitive to the cavity length Lc, the side boundaries have no obvious influence on the excitation condition.

Keywords

Self-sustained oscillationsExcitation conditionLouverNumerical simulations
Type
Research Article
Information
Journal of Mechanics , Volume 33 , Issue 4 , August 2017 , pp. 535 - 544
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2017 

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