Hostname: page-component-78c5997874-lj6df Total loading time: 0 Render date: 2024-11-10T15:41:45.750Z Has data issue: false hasContentIssue false
  • English
  • Français

Numerical Investigation of the Coherent Structures and Sound Properties in Sonic Coaxial Jets

Part of: Turbulence Hydro- and aero-acoustics

Published online by Cambridge University Press:  17 January 2017

Haitao Shi ,
Dawei Chen ,
Pei Wang ,
Nansheng Liu  and
Xiyun Lu
Haitao Shi*
Affiliation:
Department of Modern Mechanics, University of Science and Technology of China, Hefei, Anhui 230026, China
Dawei Chen*
Affiliation:
Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
Pei Wang*
Affiliation:
Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
Nansheng Liu*
Affiliation:
Department of Modern Mechanics, University of Science and Technology of China, Hefei, Anhui 230026, China
Xiyun Lu*
Affiliation:
Department of Modern Mechanics, University of Science and Technology of China, Hefei, Anhui 230026, China
*
*Corresponding author. Email:htshi@mail.ustc.edu.cn (H. T. Shi), chendw@iapcm.ac.cn (D. W. Chen), wangpei@iapcm.ac.cn (P.Wang), lns@ustc.edu.cn (N. S. Liu), xlu@ustc.edu.cn (X. Y. Lu)
*Corresponding author. Email:htshi@mail.ustc.edu.cn (H. T. Shi), chendw@iapcm.ac.cn (D. W. Chen), wangpei@iapcm.ac.cn (P.Wang), lns@ustc.edu.cn (N. S. Liu), xlu@ustc.edu.cn (X. Y. Lu)
*Corresponding author. Email:htshi@mail.ustc.edu.cn (H. T. Shi), chendw@iapcm.ac.cn (D. W. Chen), wangpei@iapcm.ac.cn (P.Wang), lns@ustc.edu.cn (N. S. Liu), xlu@ustc.edu.cn (X. Y. Lu)
*Corresponding author. Email:htshi@mail.ustc.edu.cn (H. T. Shi), chendw@iapcm.ac.cn (D. W. Chen), wangpei@iapcm.ac.cn (P.Wang), lns@ustc.edu.cn (N. S. Liu), xlu@ustc.edu.cn (X. Y. Lu)
*Corresponding author. Email:htshi@mail.ustc.edu.cn (H. T. Shi), chendw@iapcm.ac.cn (D. W. Chen), wangpei@iapcm.ac.cn (P.Wang), lns@ustc.edu.cn (N. S. Liu), xlu@ustc.edu.cn (X. Y. Lu)
Get access

Abstract

Numerical investigation of the underexpanded sonic coaxial jets is carried out using large eddy simulation for three typical inner nozzle lip-thicknesses. Various fundamental mechanisms dictating the flow phenomena including shock structure, shear layer evolution and sound production are investigated. It is found that the inner nozzle lip induces a recirculation zone between inner and outer jets, which significantly influences the behaviors of shock structures and shear layers. The sound properties of the coaxial jets are further analyzed in detail. As the inner lip-thickness increases, the helical screech mode switches to an axisymmetric one and high-frequency screech also occurs with an oscillation frequency of recirculation zone. Based on the temporal Fourier transform and correlation analysis, the primary sources of low- and high-frequency screeches are associated with the downstream shock cells in the jet column and the secondary shock structures in the outer annular jet, respectively. The proper orthogonal decomposition analysis reveals that the dominant structures constructed by the most energetic modes shift from the downstream shock cells region to the upstream secondary shock region as the lip-thickness increases. The results obtained in this study provide physical insight into the understanding of the mechanisms relevant to the coherent structures and sound properties in sonic coaxial jets.

Keywords

Large eddy simulationcoaxial jetscreechturbulent flow

MSC classification

Secondary: 76Q05: Hydro- and aero-acoustics 76F65: Direct numerical and large eddy simulation of turbulence 76F70: Control of turbulent flows
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 9 , Issue 3 , June 2017 , pp. 554 - 573
Copyright
Copyright © Global-Science Press 2017 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1] Sujith, R. I., Ramesh, R., Pradeep, S., Sriram, S. and Muruganandam, T. M., Mixing of high speed coaxial jets, Exp. Fluids, 30 (2001), pp. 339–345.Google Scholar
[2] Papamoschou, D., Mach wave elimination from supersonic jets, AIAA J., 35 (1997), pp. 1604–1611.Google Scholar
[3] Buresti, G., Tatamelli, A. and Petagna, P., Experimental characterization of the velocity field of a coaxial jet configuration, Exp. Therm. Fluid Sci., 9 (1994), pp. 135–146.Google Scholar
[4] Schumaker, S. A. and Driscoll, J. F., Mixing properties of coaxial jets with large velocity ratios and large inverse density ratios, Phys. Fluids, 24 (2012), 055101.Google Scholar
[5] D’Altorre, L. and Harshbarger, F. C., Parameters affecting the normal shock location in underexpanded gas jets, AIAA J., 3 (1965), pp. 530–531.Google Scholar
[6] Narayanan, A. K. and Damodaran, K. A., Mach disc of dual coaxial axisymmetric jets, AIAA J., 31 (1993), pp. 1343–1345.Google Scholar
[7] Kumar, R. R. and Kurianf, J., Coaxial jets from lobed-mixer nozzles, AIAA J., 34 (1996), pp. 1822–1828.Google Scholar
[8] Hari, S. and Kurian, J., Mixing augmentation of supersonic streams, J. Therm. Sci., 10 (2000), pp. 325–330.Google Scholar
[9] Lee, K.H., Setoguchi, T., Matsuo, S. and Kim, H. D., An experimental study of underexpanded sonic, coaxial, swirl jets, J. Mech. Eng. Sci., 128 (2004), pp. 93–103.CrossRefGoogle Scholar
[10] Lee, K. H., Setoguchi, T., Matsuo, S. and Kim, H.-D., Near-field structures of an underexpanded sonic coaxial jet, J. Flow Visual. Image Process., 11 (2004), pp. 13–20.Google Scholar
[11] Lee, K. H., Setoguchi, T., Matsuo, S. and Kim, H.-D., An experimental study of the underexpanded swirling jet with secondary coaxial stream, Shock Waves, 14 (2005), pp. 83–92.CrossRefGoogle Scholar
[12] Hafsteinsson, H., Eriksson, L. E., Andersson, N., Cuppoletti, D. R., Gutmark, E. and Prisell, E., Near-field and far-field spectral analyzis of supersonic jet with and without fluidic injection, 52th AIAA Aerospace Sciences Meeting, (2014).Google Scholar
[13] Tam, C., Supersonic jet noise, Annu. Rev. Fluid Mech., 27 (1995), pp. 17–43.CrossRefGoogle Scholar
[14] Powell, A., On the mechanism of choked jet noise, Proc. Phys. Soc. Lond., 66 (1953), pp. 1039–1056.Google Scholar
[15] Davies, M. and Oldfield, D., Tones from a choked axisymmetric jet, Acustica, 12 (1962), pp. 257–277.Google Scholar
[16] Raman, G., Supersonic jet screech: Half-century from Powell to the present, J. Sound Vib., 225 (1999), pp. 543–571.Google Scholar
[17] Panda, J., Shock oscillation in underexpanded screeching jets, J. Fluid Mech., 363 (1998), pp. 173–198.Google Scholar
[18] Umeda, Y. and Ishii, R., On the sound sourves of screech tones radiated from choked circular jets, J. Acoust. Soc. Am., 110 (2001), pp. 1745–1858.Google Scholar
[19] Li, X.-D. and Gao, J.-H., Numerical simulation of the three-dimensional screech phenomenon from a circular jet, Phys. Fluids, 20 (2008), 035101.Google Scholar
[20] Edgington-Mitchell, D., Oberleithner, K. and Honnery, D. R., Coherent structure and sound production in the helical mode of a screeching axisymmetric jet, J. Fluid Mech., 748 (2014), pp. 822–847.CrossRefGoogle Scholar
[21] Tanna, H. K. and Morris, P. J., The noise from normal-velocity-profile coannular jets, J. Sound Vib., 98 (1985), pp. 213–234.Google Scholar
[22] Dahl, M. D. and Morris, P. J., Noise from supersonic coaxial jets, Part 2: Normal velocity profile, J. Sound Vib., 200 (1997), pp. 665–699.Google Scholar
[23] André, B., Castelain, T. and Bailly, C., Experimental study of flight effects on screech in underexpanded jets, Phys. Fluids, 23 (2011), 126102.CrossRefGoogle Scholar
[24] Shen, H.-W. and Tam, C. K., Effects of jet temperature and nozzle-lip thickness on screech tones, AIAA J., 38 (2000), pp. 762–767.Google Scholar
[25] Kawai, S. and Lele, S. K., Large-eddy simulation of jet mixing in supersonic crossflows, AIAA J., 48 (2010), pp. 2063–2083.CrossRefGoogle Scholar
[26] Lu, X.-Y., Wang, S.-W., Sung, H.-G., Hsieh, S.-Y. and Yang, V., Large-eddy simulations of turbulent swirling flows injected into a dump chamber, J. Fluid Mech., 527 (2005), pp. 171–195.Google Scholar
[27] Xu, C.-Y., Chen, L.-W. and Lu, X.-Y., Large eddy simulation of the compressible flow past a wavy cylinder, J. Fluid Mech., 665 (2010), pp. 238–273.Google Scholar
[28] Chen, L.-W., Xu, C.-Y. and Lu, X.-Y., Numerical investigation of the compressible flow past an aerofoil, J. Fluid Mech., 643 (2010), pp. 97–126.Google Scholar
[29] Chen, L.-W., Wang, G.-L. and Lu, X.-Y., Numerical investigation of a jet from a blunt body opposing a supersonic flow, J. Fluid Mech., 684 (2011), pp. 85–110.Google Scholar
[30] Hill, D. J., Pantano, C. and Pullin, D. I., Large-eddy simulation and multiscale modeling of a Richtmyer-Meshkov instability with reshock, J. Fluid Mech., 557 (2006), pp. 29–61.CrossRefGoogle Scholar
[31] Génin, F. and Menon, S., Dynamics of sonic jet injection into supersonic crossflow, J. Turbul., 11 (2010), pp. 1–30.Google Scholar
[32] Bodony, D. J. and Lele, S. K., On using large-eddy simulation for the prediction of noise from cold and heated turbulent jets, Phys. Fluids, 17 (2005), 085103.CrossRefGoogle Scholar
[33] Gloor, M., Bühler, S. and Kleiser, L., On using large-eddy simulation for the prediction of noise from cold and heated turbulent jets, Phys. Fluids, 28 (2016), 044103.Google Scholar
[34] Donaldson, C. D. and Snedeker, R. S., A study of free jet impingement, Part 1. Mean properties of free and impinging jets, J. Fluid Mech., 45 (1971), pp. 281–319.CrossRefGoogle Scholar
[35] Bogey, C., Marsden, O. and Bailly, C., Influence of initial turbulence level on the flow and sound fields of a subsonic jet at a diameter-based Reynolds number of 105 , J. Fluid Mech., 701 (2012), pp. 352–385.CrossRefGoogle Scholar
[36] Balarac, G., Si-Ameur, M., Lesieur, M. and Métais, O., Direct numerical simulations of high velocity ratio coaxial jets: mixing properties and influence of upstream conditions, J. Turbul., 8 (2007), N22.CrossRefGoogle Scholar
[37] Okajima, A., Strouhal numbers of rectangular cylinders, J. Fluid Mech., 123 (1982), pp. 379–398.Google Scholar
[38] Vuorinen, V., Yu, J., Tirunagari, S., Kaario, O., Larmi, M., Duwig, C. and Boersma, B. J., Large-eddy simulation of highly underexpanded transient gas jets, Phys. Fluids, 25 (2013), 016101.Google Scholar
[39] Suzuki, T. and Lele, S. K., Shock leakage through an unsteady vortex-laden mixing layer: application to jet screech, J. Fluid Mech., 49 (2003), pp. 139–167.Google Scholar
[40] Sen, H. O., Seiler, F., Srulijes, J. and Hruschka, R., Mach waves produced in the supersonic jet mixing layer by shock/vortex interaction, Shock Waves, 26 (2016), pp. 1–10.Google Scholar
[41] Raman, G., Cessation of screech in underexpanded jets, J. Fluid Mech., 336 (1997), pp. 69–90.Google Scholar
[42] Keiderling, F., Kleiser, L. and Bogey, C., Numerical study of eigenmode forcing effects on jet flow development and noise generation mechanisms, Phys. Fluids, 21 (2009), 045106.CrossRefGoogle Scholar
[43] Tinney, C. E. and Jordan, P., The near pressure field of co-axial subsonic jets, J. Fluid Mech., 611 (2008), pp. 175–204.Google Scholar
[44] Umeda, Y. and Ishii, R., Sound sources of screech tone radiated from circular supersonic jet oscillating in the helical mode, Aeroacoustics, 1 (2002), pp. 355–384.Google Scholar
[45] Powell, A., Umeda, Y. and Ishii, R., Observations of the oscillation modes of choked circular jets, J. Acoust. Soc. Am., 92 (1992), pp. 2823–2836.CrossRefGoogle Scholar
[46] Sirovich, L., Proper orthogonal decomopsition applied to turbulent flow in a square duct, Appl. Math., 45 (1987), pp. 561–671.Google Scholar
[47] Berkooz, G., Holmes, P. and Lumley, J. L., The proper orthogonal decomposition in the analysis of turbulent flows, Appl. Math., 45 (1987), pp. 561–671.Google Scholar
[48] Bogey, C., Barré, S., Juvé, D. and Bailly, C., Simulation of a hot coaxial jet: Direct noise prediction and flow-acoustics correlations, Phys. Fluids, 21 (2009), 035105.Google Scholar