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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 ([email protected])
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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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References

1. Celik, E. and Rockwell, D., “Shear Layer Oscillation Along a Perfortated Surface: A Self-Excited Large-Scale Instablility,” Physics of Fluids, 14, pp. 4444–4447 (2002).CrossRefGoogle Scholar
2. Celik, E. and Rockwell, D., “Coupled Oscillations of Flow along a Perforated Plate,” Physics of Fluids, 16, pp. 1714–1724 (2004).CrossRefGoogle Scholar
3. Wang, H. B. et al., “Characteristics of Oscillations in Supersonic Open Cavity Flows,” Flow Turbulence & Combustion, 90, pp. 121–142 (2013).CrossRefGoogle Scholar
4. Howe, M. S., “Edge, Cavity and Aperture Tones at Very Low Mach Numbers,” Journal of Fluid Mechanics, 330, pp. 61–84 (1997).CrossRefGoogle Scholar
5. Maung, P. M., Howe, M. S. and Mckinley, G. H., “Experimental Investigation of the Damping of Structural Vibrations by Vorticity Production,” Journal of Sound & Vibration, 220, pp. 297–312 (1999).CrossRefGoogle Scholar
6. King, J. L., Boyle, P. and Ogle, J. B., “Instability in Slotted Wall Tunnels,” Journal of Fluid Mechanics, 4, pp. 283–305 (1958).CrossRefGoogle Scholar
7. Lü, M. et al., “Numerical Simulation of Cavitation Bubble Growth within a Droplet,” Journal of Mechanics, 32, pp. 211–217 (2016).CrossRefGoogle Scholar
8. Wang, C.-N., Tse, C.-C. and Chen, S.-C., “Flow Induced Aerodynamic Noise Analysis of Perforated Tube Mufflers,” Journal of Mechanics, 29, pp. 225–231 (2013).CrossRefGoogle Scholar
9. Malone, J. et al., “Analysis of the Spectral Relationships of Cavity Tones in Subsonic Resonant Cavity Flows,” Physics of Fluids, 21, 055103 (2009).CrossRefGoogle Scholar
10. Haigermoser, C., “Application of an Acoustic Analogy to PIV Data from Rectangular Cavity Flows,” Experiments in Fluids, 47, pp. 145–157 (2009).CrossRefGoogle Scholar
11. Hsu, C. H. et al., “A Study on the Flow Patterns of a Second Grade Viscoe-Lastic Fluid Past a Cavity in a Horizontal Channel,” Journal of Mechanics, 29, pp. 207–215 (2013).CrossRefGoogle Scholar
12. Lusk, T., Cattafesta, L. and Ukeiley, L., “Leading Edge Slot Blowing on an Open Cavity in Supersonic Flow,” Experiments in Fluids, 53, pp. 187–199 (2012).CrossRefGoogle Scholar
13. Druault, P., Gloerfelt, X. and Mervant, T., “Investigation of Flow Structures Involved in Sound Generation by Two- and Three-Dimensional Cavity Flows,” Computers & Fluids, 48, pp. 54–67 (2011).CrossRefGoogle Scholar
14. Li, W. P., Nonomura, T. and Fujii, K., “On the Feedback Mechanism in Supersonic Cavity Flows,” Physics of Fluids, 25, 056101 (2013).CrossRefGoogle Scholar
15. Dai, X. W., Jing, X. D. and Sun, X. F., “Flow-Excited Acoustic Resonance of a Helmholtz Resonator: Discrete Vortex Model Compared to Experiments,” Physics of Fluids, 27, 057102 (2015).CrossRefGoogle Scholar
16. Rockwell, D. and Naudascher, E., “Review-Self-Sustaining Oscillations of Flow past Cavities,” Journal of Fluids Engineering, 100, pp. 152–165 (1978).CrossRefGoogle Scholar
17. Rossiter, J. E., “Wind Tunnel Experiments of the Flow over Rectangular Cavities at Subsonic and Transonic Speeds,” Technical Report 64037, Royal Aircraft Establishment (1964).Google Scholar
18. Lawson, S. J. and Barakos, G. N., “Review of Numerical Simulations for High-Speed, Turbulent Cavity Flows,” Progress in Aerospace Sciences, 47, pp. 186–216 (2011).CrossRefGoogle Scholar
19. Rockwell, D. and Naudascher, E., “Self-Sustained Oscillations of Impinging Free Shear Layers,” Annual Review of Fluid Mechanics, 11, pp. 67–94 (1979).CrossRefGoogle Scholar
20. Lin, J.-C. and Rockwell, D., “Organized Oscillations of Initially Turbulent Flow past a Cavity,” AIAA Journal, 39, pp. 1139–1151 (2001).CrossRefGoogle Scholar
21. Ma, R. L., Slaboch, P. E. and Morris, S. C., “Fluid Mechanics of the Flow-Excited Helmholtz Resonator,” Journal of Fluid Mechanics, 623, pp. 1–26 (2009).CrossRefGoogle Scholar
22. Oshkai, P., Rockwell, D. and Pollack, M., “Shallow Cavity Flow Tones: Transformation from Large- to Small-Scale Modes,” Journal of Sound & Vibration, 280, pp. 777–813 (2005).CrossRefGoogle Scholar
23. Knisely, C. and Rockwell, D., “Self-Sustained Low-Frequency Components in an Impinging Shear Layer,” Journal of Fluid Mechanics, 116, pp. 157–186 (1982).CrossRefGoogle Scholar
24. Jordan, S. A., “Large-Scale Disturbances and Their Mitigation Downstream of Shallow Cavities Covered by a Perforated Lid,” Journal of Fluids Engineering, 126, pp. 851–860 (2004).CrossRefGoogle Scholar
25. Jordan, S. A., “Attenuating the Large-Scale Turbulent Oscillations Sustained by Shallow Cavities with a Perforated Lid,” International Journal of Computational Fluid Dynamics, 23, pp. 519–531 (2009).CrossRefGoogle Scholar
26. Ekmekci, A. and Rockwell, D., “Self-Sustained Oscillations of Shear Flow past a Slotted Plate Coupled with Cavity Resonance,” Journal of Fluids and Structures, 17, pp. 1237–1245 (2003).CrossRefGoogle Scholar
27. Sever, A. C. and Rockwell, D., “Oscillations of Shear Flow along a Slotted Plate: Small- and Large-Scale Structures,” Journal of Fluids Mechanics, 530, pp. 213–222 (2005).CrossRefGoogle Scholar
28. Celik, E., Sever, A. C. and Rockwell, D., “Self-Sustained Oscillations past Perforated and Slotted Plates: Effect of Plate Thickness,” AIAA Journal, 43, pp. 1850–1853 (2012).CrossRefGoogle Scholar
29. Smagorinsky, J., “General Circulation Experiments with the Primitive Equations. I. The Basic Experiment,” Monthly Weather Review, 91, pp. 99–164 (1963).2.3.CO;2>CrossRefGoogle Scholar
30. Rowley, C. W., Colonius, T. and Basu, A. J., “On Self-Sustained Oscillations in Two-Dimensional Compressible Flow over Rectangular Cavities,” Journal of Fluid Mechanics, 455, pp. 315–346 (2002).CrossRefGoogle Scholar
31. Ozalp, C., Pinarbasi, A. and Rockwell, D., “Self-Excited Oscillations of Turbulent Inflow along a Perforated Plate,” Journal of Fluids and Structures, 17, pp. 955–970 (2003).CrossRefGoogle Scholar
32. Vandoormaal, J. P. and Raithby, G. D., “Enhancements of the Simple Method for Predicting Incompressible Fluid Flows,” Numerical Heat Transfer, 7, pp. 147–163 (1984).Google Scholar
33. Anderson, W. K. and Bonhus, D. L., “An Implicit Upwind Algorithm for Computing Turbulent Flows on Unstructured Grids,” Computers & Fluids, 23, pp. 1–21 (1994).CrossRefGoogle Scholar