Skip to main content
Log in

Optimization of overall sound pressure level of underexpanded impinging jets at low and moderate Mach numbers

  • Technical Paper
  • Published:
Journal of the Brazilian Society of Mechanical Sciences and Engineering Aims and scope Submit manuscript

Abstract

The present study investigates the acoustic emission of an underexpanded jet impinging on plates of different geometries/configurations, for a range of nozzle pressure ratios. An optimization problem is carried out using the response surface methodology to determine the flow and geometric parameters that would minimize the overall sound pressure level. The two-factor optimal method is used first to determine the optimum nozzle pressure ratio and standoff distance to minimize the overall sound pressure level. Later the three-factor optimal method is used by taking the pitch length of the impinging plate as a design variable along with standoff distance and nozzle pressure ratio to minimize the overall sound pressure level. Experiments are conducted based on the design matrix, and the sound pressure level is calculated from the acoustic pressure data. The results are optimized, and the quadratic, cubic and quartic models are obtained to predict the response for different input parameters.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig.1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig.6
Fig.7
Fig. 8
Fig. 9
Fig. 10
Fig.11
Fig.12
Fig.13
Fig.14
Fig.15

Similar content being viewed by others

Abbreviations

D :

Jet diameter (mm)

H:

Non dimensional Standoff distance (Standoff distance/Jet diameter)

OASPL:

Overall sound pressure level (dB ref 20 μPa)

L:

Pitch length

NPR:

Nozzle pressure ratio

SPL:

Sound pressure level

RSM:

Response surface methodology

DOE:

Design of experiments

BBSAN:

Broadband shock associated noise

Df:

Degree of freedom

P:

Probability against null hypothesis

2FI:

Two factor interaction

References

  1. Tam CKW (1995) Supersonic jet noise. Annu Rev Fluid Mech 27:17–43

    Article  Google Scholar 

  2. Powell A (1953) On the mechanism of choked jet Noise. Proc Phys Sect B 66:1039–1057

    Article  Google Scholar 

  3. Marsh A (1961) Noise measurements around a subsonic air jet impinging on a plane rigid surface. J Acoust Soc Am 33:1065–1066

    Article  Google Scholar 

  4. Morch KA (1964) A theory for the mode of operation of the Hartmann air jet generator. J Fluid Mech 20:141–159

    Article  Google Scholar 

  5. Wagner FR (1971) The sound and flow field of an axially symmetric free jet upon impact on a wall, NASA TT F-13942

  6. Lau JC (1972) The Intrinsic structure of turbulent jets. J Sound Vib 22:379–406

    Article  Google Scholar 

  7. Nosseir NS (1979) On the feedback phenomenon and noise generation of an impinging jet. Ph.D. Thesis, University of Southern California, USA

  8. Ho C-M, Nosseir NS (1980) Dynamics of an impinging jet. Part 1. The feedback phenomenon. J Fluid Mech 105:119–142

    Article  Google Scholar 

  9. Ho C-M, Nosseir NS (1981) Dynamics of an impinging jet. Part 2. The noise generation. J Fluid Mech 116:379–391

    Google Scholar 

  10. Wong M, Jordan P, Maia I, Cavalieri A, Cavalieri AVG et al (2021) Wavepacket modelling of broadband shock-associated noise in supersonic jets. J Fluid Mech 918:A9

    Article  MathSciNet  Google Scholar 

  11. Li X, Liu N, Hao P, Zhang X, He F (2021) Screech feedback loop and mode staging process of axisymmetric underexpanded jets. Exp Therm Fluid Sci 122:1–12

    Article  Google Scholar 

  12. Edgington-Mitchell D (2019) Aeroacoustic resonance and self-excitation in screeching and impinging supersonic jets—a review. Int J Aeroacoust 18:118–188

    Article  Google Scholar 

  13. Akamine M, Okamoto K, Gee KL, Neilsen TB, Teramoto S, Okunuki T, Tsutsumi S (2016) Effect of nozzle-plate distance on acoustic phenomena from supersonic impinging jet, 22nd AIAA/CEAS aeroacoustics conference

  14. Dhamanekar A, Srinivasan K (2018) Mitigation of impinging tones using central protrusion. J Sound Vib 433:160–178

    Article  Google Scholar 

  15. Balakrishnan P, Srinivasan K (2019) Impinging jet noise reduction using non-circular jets. Appl Acoust 143:19–30

    Article  Google Scholar 

  16. Manoharan C, Arunachalam VP (2008) Dynamic analysis of hydrodynamic bearing performance in ic engines by using taguchi technique and response surface methodology (RSM). Int J Adv Manuf Technol 36:1061–1071

    Article  Google Scholar 

  17. Carley KM, Kamneva NY, Reminga J (2004) Response surface methodology 1 CASOS, Technical report

  18. Arumbu P, Srinivasalu S (2018) Sustainable model for high signal to noise ratio to measure underwater acoustic signal using acoustic doppler velocimeter. Comput Eletr Eng 68:262–270

    Article  Google Scholar 

  19. Chakule RR, Chaudhari SS, Talmale PS (2017) Evaluation of the effects of machining parameters on MQL based surface grinding process using response surface methodology. J Mech Sci Technol 31:3907–3916

    Article  Google Scholar 

  20. Vinayagamoorthy R, Manoj IV, Narendra Kumar G, Sai Chand I (2018) A central composite design based fuzzy logic for optimization of drilling parameters on natural fiber reinforced composite. J Mech Sci Technol 32:2011–2020

    Article  Google Scholar 

  21. Kallath H, Lee JS, Kholi FK, Ha MY, Min JK (2021) A multi-objective airfoil shape optimization study using mesh morphing and response surface method. J Mech Sci Technol 35:1075–1086

    Article  Google Scholar 

  22. Che B, Cao L, Chu N, Likhachev D, Dazhuan Wu (2019) Effect of obstacle position on attached cavitation control through response surface methodology. J Mech Sci Technol 33:1–15

    Article  Google Scholar 

  23. Yuksel E, Kamci G, Basdogan I (2012) Vibro-acoustic design optimization study to improve the sound pressure level inside the passenger cabin. J Vib Acoust 134:061017–061026

    Article  Google Scholar 

  24. Lafronza L, McAlpine A, Keane AJ, Astley RJ (2012) Response surface method optimization of uniform and axially segmented duct acoustics liners. J Aircr 43:1089–1102

    Article  Google Scholar 

  25. Shengjun Ju, Zhenxu S, Dilong G, Guowei Y, Yeteng W, Chang Y (2022) Aerodynamic-aeroacoustic optimization of a baseline wing and flap configuration. Appl Sci 12:1–19

    Google Scholar 

  26. Kleijnen JPC (2009) Kriging metamodeling in simulation: a review. Eur J Oper Res 192:707–716

    Article  MathSciNet  Google Scholar 

  27. Xunpeng Q, Wang Yongliang Lu, Chihua HS, Hao Z, Cunrui S (2016) Structural acoustics analysis and optimization of an enclosed box-damped structure based on response surface methodology. Mater Des 103:236–243

    Article  Google Scholar 

  28. Uciński D (2020) D-optimal sensor selection in the presence of correlated measurement noise. Measurement 164:107873

    Article  Google Scholar 

  29. Sarangi D, Srinivasan K (2022) Tonal noise suppression of an underexpanded orifice jet upon impingement over corrugated geometries. J Vib Acoust 144:051013-1–51014

    Article  Google Scholar 

  30. Sarangi D, Ramanujam K, Srinivasan K (2023) Proper Orthogonal Decomposition analysis of mode switching in supersonic jets impinging on flat and corrugated plates. Int J Turbo Jet Engines. https://doi.org/10.1515/tjj-2023-0071

    Article  Google Scholar 

  31. https://www.statease.com/docs/v13/contents/analysis/anova-output/

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to K. Srinivasan.

Additional information

Technical Editor: Samikkannu Raja.

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Sarangi, D., Karthik, R. & Srinivasan, K. Optimization of overall sound pressure level of underexpanded impinging jets at low and moderate Mach numbers. J Braz. Soc. Mech. Sci. Eng. 46, 29 (2024). https://doi.org/10.1007/s40430-023-04568-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s40430-023-04568-1

Keywords

Navigation