Abstract
Experimental and computational analysis has been already carried out by many researchers on supersonic flow past cavities, but detailed analysis of computational results still needs some insight. For this purpose, an open rectangular cavity with a length to depth ratio of 2 (\(L/D = 2\)) and inlet Mach number 1.71 was considered for an unsteady computational analysis in ANSYS FLUENT, using SST \(k-\omega \) turbulence model. The two dimensional structured grids were generated in Pointwise grid generation software. FFT using Power Spectral Density (PSD) was carried out on the unsteady pressure data for 10,000 time-steps, with a total flow time of 10 ms. Many modes were observed, with dominant frequency at 10.5 kHz. The mode frequencies obtained were validated from experimental results and from the corresponding Rossiter’s Modes. Correlation between the unsteady pressure data was also found to analyze the flow dynamics. Many flow visualization techniques were employed such as density gradient-based numerical schlieren, which revealed many flow features associated with the flow. Vortex Shedding Visualization was carried out in terms of the lambda 2 criterion, where the vortex core (\(\lambda _2 < 0\)) can be observed moving downstream in the shear layer. Lastly in the acoustic pressure contour, an acoustic wave can be observed moving within the cavity. The analysis was extended for different shapes of subcavities on the front and aft wall. As the front wall subcavity act as a passive control device, reducing the overall sound pressure level inside the cavity, whereas the aft wall subcavity acts as a passive resonator with distinct harmonic fluid-resonant modes. A more detailed analysis on these configurations with different shapes will give a comparative and better understanding on the flow features, mode frequencies, Rossiter’s coefficients, and fluid-resonant oscillations in a supersonic cavity. Also, the applicability of Rossiter’s Modes has been compared with the Closed-Box acoustic model for different configurations.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Abbreviations
- FD:
-
Fluid-dynamic
- FR:
-
Fluid-resonant
- PSD:
-
Power spectral density
- OASPL:
-
Overall sound pressure level
- \(\infty \) :
-
Free stream conditions
- c :
-
Inside cavity conditions
References
Curran ET (2001) Scramjet engines: the first forty years. J Propul Power 17(6):1138–1148. https://doi.org/10.2514/2.5875
Krishnamurty K (1955) Acoustic radiation from two-dimensional rectangular cutouts in aerodynamic surfaces
Rossiter JE (1964) Wind tunnel experiments on the flow over rectangular cavities at subsonic and transonic speeds. RAE technical report no. 64037
Heller HH, Bliss DB (1975) Aerodynamically induced pressure oscillations in cavities. Physical mechanisms and suppression concepts AFFDL-TR-74-133
Rockwell D, Naudascher E (1978). Self-sustaining oscillations of flow past cavities. https://doi.org/10.1115/1.3448624
Heller HH, Holmes D, Covert EE (1971) Flow-induced pressure oscillations in shallow cavities. J Sound Vib 18(4):545–553. https://doi.org/10.1016/0022-460X(71)90105-2
Rona A (2007) The acoustic resonance of rectangular and cylindrical cavities. J Algorithms Comput Technol 1(3):329–356. https://doi.org/10.1260/174830107782424110
Unalmis OH, Clemens N, Dolling D (2004) Cavity oscillation mechanisms in high-speed flows. AIAA J 42(10):2035–2041. https://doi.org/10.2514/1.1000
Zhang X, Edwards J (1990) An investigation of supersonic oscillatory cavity flows driven by thick shear layers. Aeronaut J 94(940):355–364
Kumar M, Vaidyanathan A (2018) Oscillatory mode transition for supersonic open cavity flows. Phys Fluids 30(2):026101. https://doi.org/10.1063/1.5017269
Plentovich EB, Stallings Jr RL, Tracy MB (1993) Experimental cavity pressure measurements at subsonic and transonic speeds. Static-pressure results
Murray RC, Elliott GS (2001) Characteristics of the compressible shear layer over a cavity. AIAA J 39(5):846–856, 026101. https://doi.org/10.2514/2.1388
Thangamani V (2019) Mode behavior in supersonic cavity flows. AIAA J 57(8):3410–3421, 026101. https://doi.org/10.2514/1.J057818
Gruber M, Baurle R, Mathur T, Hsu KY (2001) Fundamental studies of cavity-based flameholder concepts for supersonic combustors. J Propul Power 17(1):146–153, 026101. https://doi.org/10.2514/2.5720
Barnes FW, Segal C (2015) Cavity-based flameholding for chemically-reacting supersonic flows. Prog Aerosp Sci 76:24–41, 026101. https://doi.org/10.1016/j.paerosci.2015.04.002
Cai Z, Wang T, Sun M (2019) Review of cavity ignition in supersonic flows. Acta Astronaut 165:268–286, 026101. https://doi.org/10.1016/j.actaastro.2019.09.016
Vikramaditya N, Kurian J (2009) Pressure oscillations from cavities with ramp. AIAA J 47(12):2974–2984, 026101. https://doi.org/10.2514/1.43068
Maurya PK, Rajeev C, RR VK, Vaidyanathan A (2015) Effect of aft wall offset and ramp on pressure oscillation from confined supersonic flow over cavity. Exp Therm Fluid Sci 68:559–573. https://doi.org/10.1016/j.expthermflusci.2015.06.014
Lad KA, Vinil Kumar RR, Vaidyanathan A (2018) Experimental study of subcavity in supersonic cavity flow. AIAA J 56(5):1965–1977, 026101. https://doi.org/10.2514/1.J056361
Xiansheng W, Dangguo Y, Jun L, Fangqi Z (2020) Control of pressure oscillations induced by supersonic cavity flow. AIAA J 58(5):2070–2077, 026101. https://doi.org/10.2514/1.J059014
Zhang X, Rona A, Edwards JA (1998) The effect of trailing edge geometry on cavity flow oscillation driven by a supersonic shear layer. Aeronaut J 102(1013):129–136, 026101
Alam MM, Matsuob S, Teramotob K, Setoguchib T, Kim HD (2007) A new method of controlling cavity-induced pressure oscillations using sub-cavity. J Mech Sci Technol 21(9):1398, 026101. https://doi.org/10.1007/BF03177426
Panigrahi C, Vaidyanathan A, Nair MT (2019) Effects of subcavity in supersonic cavity flow. Phys Fluids 31(3):036101. https://doi.org/10.1063/1.5079707
Rizzetta DP (1988) Numerical simulation of supersonic flow over a three-dimensional cavity. AIAA J 26(7):799–807, 036101. https://doi.org/10.2514/3.9972
Lee Y, Kang M, Kim H, Setoguchi T (2008) Passive control techniques to alleviate supersonic cavity flow oscillation. J Propul Power 24(4):697–703, 036101. https://doi.org/10.2514/1.30292
Jeong J, Hussain F (1995) On the identification of a vortex. J Fluid Mechanics 285:69–94, 036101. https://doi.org/10.1017/S0022112095000462
Sridhar V, Gai S, Kleine H (2012) A numerical investigation of supersonic cavity flow at Mach 2. In: 18th Australasian fluid mechanics conference, Launceston, Australia
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Jain, P., Chavan, T., Chakraborty, M., Vaidyanathan, A. (2023). Computational Study of Aero-acoustic Feedback in Supersonic Cavity Flow. In: Sivaramakrishna, G., Kishore Kumar, S., Raghunandan, B.N. (eds) Proceedings of the National Aerospace Propulsion Conference. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-19-2378-4_20
Download citation
DOI: https://doi.org/10.1007/978-981-19-2378-4_20
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-19-2377-7
Online ISBN: 978-981-19-2378-4
eBook Packages: EngineeringEngineering (R0)