Application of Wavenumber-frequency Method for Characteristic Frequency Prediction of Cavity Noise at Subsonic Speeds

Document Type : Regular Article

Authors

1 Institute of Mechanics, Chinese Academy of Sciences, Beijing, 100190, China

2 School of Future Technology, University of Chinese Academy of Sciences, Beijing, 100049, China

3 School of Engineering Science, University of Chinese Academy of Sciences, Beijing, 100049, China

Abstract

Flow-acoustic feedback is one of the main types of noise in a cavity, is caused by the instability of the cavity shear layer and is enhanced through an acoustic-wave feedback mechanism. The flow characteristics of the cavity boundary/shear layer and the characteristic frequencies of the flow-acoustic feedback in the cavities are studied numerically, with aspect ratios ranging from 1/2 to 4/3. The freestream Mach number is equal to 0.11, corresponding to an Re-based cavity length of 2.1×105. Improved Delayed Detached Eddy Simulations combined with Ffowcs Williams-Hawkings acoustic analogy are used to simulate the flow and noise characteristics of the cavities. Auto-correlation analysis of flow field fluctuations is used to establish a link between the boundary/shear layer pressure fluctuations and flow-acoustic feedback noise. For the low aspect ratio cavities investigated in this paper, convection velocities along the shear layer development direction are obtained using wavenumber-frequency analysis. The deeper the cavity, the lower the shear layer flow velocity. Correspondingly, the characteristic frequencies of the narrowband noise generated by the flow-acoustic feedback shift linearly toward the low frequency band as the cavity depth increases. The results of the predicted noise characteristic frequencies obtained using wavenumber-frequency analysis and Rossiter's empirical formula are in agreement with the calculated results.

Keywords

Main Subjects

References

Ahuja, K., & Mendoza, J. (1995). Effects of cavity dimensions, boundary layer, and temperature in cavity noise with emphasis on benchmark data to validate computational aeroacoustic codes. United States: NASA CR-4653. https://ntrs.nasa.gov/citations/19950018459
Arguillat, B., Ricot, D., Robert, G., & Bailly, C. (2005). Measurements of the wavenumber-frequency spectrum of wall pressure fluctuations under turbulent flows. 11th AIAA/CEAS Aeroacoustics Conference. Monterey, California, AIAA paper 2005-2855. https://arc.aiaa.org/doi/abs/10.2514/6.2005-2855
Ashcroft, G., & Zhang, X. (2001). A computational investigation of the noise radiated by flow-induced cavity oscillations. 39th Aerospace Sciences Meeting and Exhibit. Reno, NV, U.S.A., AIAA paper 2001-512. https://arc.aiaa.org/doi/abs/10.2514/6.2001-512
Bremner, P. G., & Zhu, M. (2003). Recent progress using sea and cfd to predict interior wind noise. SAE transactions 2003-01-1705. https://doi.org/10.4271/2003-01-1705
Casalino, D., Gonzalez-Martino, I., & Mancini, S. (2022). On the rossiter-heller frequency of resonant cavities. Aerospace Science and Technology, 131(2022), 108013. https://doi.org/10.1016/j.ast.2022.108013
Casalino, D., Ribeiro, A. F. P., & Fares, E. (2014). Facing rim cavities fluctuation modes. Journal of Sound & Vibration, 333(13), 2812-2830. https://doi.org/10.1016/j.jsv.2014.01.028
Chen, G.Y., Tang, X. L., Yang, X. Q., Weng, P.F, & Ding, J. (2021). Noise control for high-lift devices by slat wall treatment. Aerospace Science and Technology, 115(2021), 106820. https://doi.org/10.1016/j.ast.2021.106820
Comte, P., Daude, F., & Mary, I. (2008). Simulation of the reduction of unsteadiness in a passively controlled transonic cavity flow. Journal of Fluids and Structure, 24(8), 1252-1261. https://doi.org/10.1016/j.jfluidstructs.2008.08.001
Dalmont, J. P., Nederveen, C. J., & Joly, N. (2001). Radiation impedance of tubes with different flanges: numerical and experimental investigations. Journal of Sound and Vibration, 244, 505–534. https://doi.org/10.1006/jsvi.2000.3487
DeChant, L. (2019). A cavity depth sensitized Rossiter mode formula. Applied Mathematics and Computation, 347(2019), 143-148. https://doi.org/10.1016/j.amc.2018.10.048
Delcor, L., Parizet, E., & Ganivet-Ouzeneau, J., & Caillet, J (2022). Model of sound and vibration discomfort in helicopter cabins. Applied Acoustics, 195 (2022), 108847. https://doi.org/10.1016/j.apacoust.2022.108847
Dobrzynski, W. (2010). Almost 40 years of airframe noise research: What did we achieve? Journal of Aircraft, 47, 353–67. https://doi.org/10.2514/1.44457.
East, L. F. (1966). Aerodynamically induced resonance in rectangular cavities. Journal of Sound and Vibration, 3(3), 277-287. https://doi.org/10.1016/0022-460X(66)90096-4
Ffowcs-Williams, J. E., & Hawkings, D. L. (1969). Sound generation by turbulence and surfaces in arbitrary motion. Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 264 321–342. https://doi.org/10.1098/rsta.1969.0031
Forestier, N. (2000). Etude experimentale d’une couche cisaillee au-dessus d’une Cavite en regime transsonique. France: Ecole Centrale de Lyon (in French). https://doi.org/10.1007/BF00122093
Gharib, M., & Roshko, A. (1987). The effect of flow oscillation on cavity drag. Journal of Fluid and Mechanics, 177, 501-530. https://doi.org/10.1017/S002211208700106X
Guo, R., Chen, X., Wan, Z., Hu, H., & Cui, S. (2022). Noise reduction in cavity flow by addition of porous media. Acta Mechanica Sinica 38, 321358. https://doi.org/10.1007/s10409-021-09043-x
Guo, Z. (2020). Investigation on aeroacoustic noise mechanism and noise control methods of cavity structure in landing gear. China: Beihang University. (in Chinese).
Guo, Z., Liu, P., & Guo, H. (2021). Control effect on deep cavity noise by slanted walls at low Mach numbers. Journal of Vibration and Control, 27(9-10), 998-1008. https://doi.org/10.1177/1077546320936510
Heller, H. H., Holmes, D. G., & Covert, E. E. (1971). Flow induced pressure oscillations in shallow cavities. Journal of Sound and Vibration 18 (4), 545–553. https://doi.org/10.1016/0022-460X(71)90105-2
Ji, M., & Wang, M. (2012). Surface pressure fluctuations on steps immersed in turbulent boundary layers. Journal of Fluid and Mechanics, 7(12), 471-504. https://doi.org/10.1017/jfm.2012.433
Larcheveque, L., Pierre, S., Ivan, M., Labbe, O & Comte, P. (2003). Large-eddy simulation of a compressible flow past a deep cavity. Physics of Fluids, 15, 193. https://doi.org/10.1017/jfm.2012.433
Li, W., Nonomura, T., & Fujii, K. (2013). On the feedback mechanism in supersonic cavity flows. Physics of Fluids, 25, 056101. https://doi.org/10.1063/1.4804386
Ma, R., Slaboch, P. E., & Morris, S. C. (2009). Fluid mechanics of the flow-excited Helmholtz resonator. Journal of Fluid Mechanics, 2009(623), 1-26. https://doi.org/10.1017/S0022112008003911
Menter, F. R. (1994). Two-equation eddy-viscosity turbulence models for engineering applications. AIAA Journal, 32(8), 1598–1605. https://doi.org/10.2514/3.12149
Moreau, S. (2022). The third golden age of aeroacoustics. Physics of Fluids, 34(3), 031301. https://doi.org/10.1063/5.0084060
Powell, A. (1961). On the edgetone. The Journal of the Acoustical Society of America, 33(4), 395–409. https://doi.org/10.1121/1.1908677
Rockwell, D., & Naudascher, E. (1978). Review: Self-sustaining Oscillations of flow past cavities. Journal of Fluids Engineering, Transactions of the ASME. 100 (2), 152-165. https://doi.org/10.1115/1.3448624
Roshko, A. (1955). Some measurements of flow in a rectangular cutout. California: NACA-TN-3488. https://digital.library.unt.edu/ark:/67531/metadc57850/
Rossiter, J. E. (1964). Wind-Tunnel Experiments on the Flow over Rectangular Cavities at Subsonic and Transonic Speeds. Netherlands: Ministry of Aviation, Royal Aircraft Establishment; RAE Memoranda, RAE Technical Report: 64037. https://reports.aerade.cranfield.ac.uk/handle/1826.2/4020
Shur, M. L., Spalart, P. R., Strelets, M. K., & Travin, A. K. (2008). A hybrid RANS-LES approach with delayed-DES and wall-modelled LES capabilities. International Journal of Heat and Fluid Flow, 29(6), 1638-1649. https://doi.org/10.1016/j.ijheatfluidflow.2008.07.001
Spalart, P. R. (1997). Comments on the feasibility of LES for wings, and on a hybrid RANS/LES approach. Advances in DNS/LES, Greyden Press, Columbus, OH, USA.
Spalart, P. R., Deck, S., Shur, M. L., Squires, K. D., Strelets, M. K., & Travin, A. (2006). A new version of detached-eddy simulation, resistant to ambiguous grid densities. Theoretical and Computational Fluid Dynamics, 20(3), 181-195. https://doi.org/10.1007/s00162-006-0015-0
Tang, Y. P., & Rockwell, D. (1983). Instantaneous pressure fields at a corner associated with vortex impingement. Journal of Fluid and Mechanics, 126, 187–204. https://doi.org/10.1017/S0022112083000105
Vadsola, M., Agbaglah, G. G., & Mavriplis, C. (2021). Slat cove dynamics of low Reynolds number flow past a 30P30N high lift configuration. Physics of Fluids, 33(3), 033607. https://doi.org/10.1063/5.0036088
Zhang, M., & Filippone, A. (2022). Optimum problems in environmental emissions of aircraft arrivals. Aerospace Science and Technology, 123(2022),107502. https://doi.org/10.1016/j.ast.2022.107502
Zhao, K., Okolo, P., Neri, E., Chen, P., Kennedy, J., & Bennett, G. J. (2020). Noise reduction technologies for aircraft landing gear-A bibliographic review. Progress in Aerospace Sciences, 112, 100589. https://doi.org/10.1016/j.paerosci.2019.100589
Journal of Applied Fluid Mechanics
Volume 17, Issue 2 - Serial Number 82
February 2024
Pages 370-383

Files

History

  • Received: 12 June 2023
  • Revised: 26 July 2023
  • Accepted: 28 September 2023
  • Available online: 04 December 2023

Share

How to cite

Statistics