Abstract
Wall pressure fluctuations in a turbulent flow are a source of noise and vibrations in elastic structures immersed in a flow. This paper presents the results of an experimental study on the effect produced by the height of a step on the spatiotemporal structure of wall pressure fluctuations in the vicinity of its side edge in the turbulent boundary layer. Measurements were performed in a subsonic low-noise wind tunnel of the Moscow Complex of the Zhukovsky Central Aerohydrodynamic Institute. The height of a step was varied from 3 to 17% of the incident-boundary-layer thickness. It has been shown that the area of the most intensive pressure fluctuations is located near the frontal side corner of the step. The characteristic Strouhal number determining the spectra of pressure fluctuations behind the leading edge of the step was established. An essential effect of the step height on the spatiotemporal structure of the pressure field in the vicinity of the side edge was shown. The obtained results evidence the existence of a strong correlation with the field of pressure fluctuations in the incident turbulent boundary layer in the case of steps with a small height.
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1134%2FS1063771022060082/MediaObjects/11441_2023_8380_Fig1_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1134%2FS1063771022060082/MediaObjects/11441_2023_8380_Fig2_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1134%2FS1063771022060082/MediaObjects/11441_2023_8380_Fig3_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1134%2FS1063771022060082/MediaObjects/11441_2023_8380_Fig4_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1134%2FS1063771022060082/MediaObjects/11441_2023_8380_Fig5_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1134%2FS1063771022060082/MediaObjects/11441_2023_8380_Fig6_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1134%2FS1063771022060082/MediaObjects/11441_2023_8380_Fig7_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1134%2FS1063771022060082/MediaObjects/11441_2023_8380_Fig8_HTML.png)
REFERENCES
B. M. Efimtsov, Akust. Zh. 28 (4), 491 (1982).
B. M. Efimtsov, Akust. Zh. 30 (1), 58 (1984).
A. V. Smol’yakov and V. M. Tkachenko, Akust. Zh. 36 (6), 1199 (1991).
M. S. Howe, J. Acoust. Soc. Am. 95, 1041 (1991).
A. Ya. Zverev and B. M. Efimtsov, Acoust. Phys. 58 (4), 420 (2012).
S. Haxter and C. Spehr, J. Sound Vib. 390, 86 (2017).
W. K. Blake, Mechanics of Flow-Induced Sound and Vibration, Vol. 2: Complex Flow-Structure Interactions, 2nd ed. (Acad. Press, 2017).
A. Yu. Golubev, E. B. Kudashev, and L. R. Yablonik, Turbulent Pulsations in Acoustics and Aerohydrodynamics (Fizmatlit, Moscow, 2019) [in Russian].
E. B. Kudashev and L. R. Yablonik, Acoust. Phys. 67 (6), 631 (2021).
Flinovia: Flow Induced Noise and Vibration Issues and Aspects-III, Ed. by E. Ciappi, S. De Rosa, F. Franco, S. A. Hambric, R. C. K. Leung, V. Clair, L. Maxit, and N. Totaro, (Springer Nature, 2021). https://doi.org/10.1007/978-3-030-64807-7
M. Awasthi, W. J. Devenport, S. A. L. Glegg, and J. B. Forest, J. Fluid Mech. 756, 384 (2014).
T. M. Farabee and M. J. Casarella, ASME J. Vib. Acoust. Stress Reliab. Des. 108, 301 (1986).
B. M. Efimtsov, N. M. Kozlov, S. V. Kravchenko, and A. O. Andersson, in Proc. 5th AIAA/CEAS Aeroacoustics Conf. and Exhibition (Bellevue, WA, 1999), Paper No. AIAA 99-1964.
B. M. Efimtsov, N. M. Kozlov, S. V. Kravchenko, and A. O. Andersson, in Proc. 6th Aeroacoustics Conf. and Exhibition (Lahaina, HI, 2000), Paper No. AIAA 2000-2053.
I. Lee and H. J. Sung, J. Fluid Mech. 463, 377 (2002).
J. F. Largeau and V. Moriniere, Exp. Fluids 42, 21 (2007).
R. Camussi, M. Felli, F. Pereira, G. Aloisio, and A. Di Marco, Phys. Fluids 20 (7), 75113 (2008).
M. Ji and M. Wang, J. Fluid Mech. 712, 471 (2012).
V. N. Bibko and A. Yu. Golubev, Acoust. Phys. 60 (5), 521 (2014).
A. Yu. Golubev and S. V. Kuznetsov, Fluid Dyn. 53 (6), 786 (2018).
M. Awasthi, W. J. Devenport, W. N. Alexander, and S. A. L. Glegg, AIAA J. 57 (3), 1237 (2019).
A. Golubev and S. Kuznetsov, AIAA J. 58 (10), 4595 (2020).
D. J. J. Leclercq, M. C. Jacob, A. Louisot, and C. Talotte, in Proc. 7th AIAA/CEAS Aeroacoustics Conf. and Exhibition (Maastricht, 2001), Paper No. AIAA 2001-2249.
A. Yu. Golubev and B. M. Efimtsov, Fluid Dyn. 50 (1), 50 (2015).
A. Yu. Golubev and B. M. Efimtsov, Uch. Zap. TsAGI 46 (1), 30 (2015).
A. Yu. Golubev, Acoust. Phys. 64 (1), 64 (2018).
D. S. Pearson, P. J. Goulart, and B. Ganapathisubramani, J. Fluid Mech. 724, 284 (2013).
A. Graziani, F. Kerherve, R. J. Martinuzzi, and L. Keirsbulck, Exp. Fluids 59 (154), 1 (2018).
V. Fang and M. F. Tachie, J. Fluid Mech. 892, A40-1-30 (2020).
C. Chandrsuda and P. Bradshaw, J. Fluid Mech. 110, 171 (1981).
R. L. Simpson, M. Ghodbane, and B. E. McGrath, J. Fluid Mech. 177, 167 (1987).
M. Kiya and K. Sasaki, J. Fluid Mech. 137, 83 (1983).
S. Haxter, J. Brouwer, J. Sesterhenn, and C. Spehr, J. Sound Vib. 402, 85 (2017).
Funding
This study was financially supported by the Russian Scientific Foundation, project no. 21-71-30016. The well-established method for measuring pressure pulsations suggests the use in the future on the basis of the TsAGI FAU “Silenced chamber with flow AK-2”, modernized with the support of the Ministry of Science and Higher Education of the Russian Federation under agreement no. 075-15-2022-1036.
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated by E. Glushachenkova
Rights and permissions
About this article
Cite this article
Kuznetsov, S.V., Golubev, A.Y. The Effect of the Step Height on the Wall Pressure Fluctuations near Its Side Edge in the Turbulent Boundary Layer. Acoust. Phys. 69, 220–227 (2023). https://doi.org/10.1134/S1063771022060082
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063771022060082