Hostname: page-component-76fb5796d-22dnz Total loading time: 0 Render date: 2024-04-26T04:51:46.443Z Has data issue: false hasContentIssue false

Computational aeroacoustics: The low speed jet

Published online by Cambridge University Press:  03 February 2016

E. J. Avital
Affiliation:
School of Engineering and Materials, University of London, London, UK
M. Alonso
Affiliation:
Mott McDonald, Croydon, UK
V. Supontisky
Affiliation:
School of Engineering Sciences, University of Southampton, Southampton, UK

Abstract

Low speed circular, elliptic and planar jets are investigated computationally for basic sound generation and hydrodynamics. The jets are assumed to be incompressible and are simulated using the large eddy simulation (LES) approach. The emitted sound is calculated using Lighthill’s acoustic analogy. Two formulations are used, Lighthill’s stress tensor formulation and Powell’s vortex sound formulation. A new boundary correction for Powell’s formulation is developed in order to account for the finite size of the computational domain. Low to moderate Reynolds number jets are simulated. Good agreement with known hydrodynamic results is achieved. This includes the nature of the transition process, e.g. enhanced mixing and axis switching in the elliptic jet and in some statistical results. The new boundary correction for Powell’s formulation proves to be vital in order to achieve good agreement with Lighthill’s formulation. Some success in high frequency prediction at least for the circular and elliptic jets is achieved in terms of getting the expected asymptotic behaviour. Both formulations show that the elliptic jet noise level is mildly lower than the circular jet noise level. Good to very good agreement is achieved in terms of directivities and frequency spectra with known results for the various jets.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society 2008 

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. Lighthill, M.J., On sound generated aerodynamically: I. General theory. Proc R Soc Lond, 1952, A211, pp 564587.Google Scholar
2. Lilley, G.M., On the noise from air jets, 1958, ARC 20376 F.M. 2724.Google Scholar
3. Powell, A., Theory of vortex sound, J Acous Soc Am, 1964, 36, (1), pp 177195.Google Scholar
4. Möhring, W., On vortex sound at low Mach number, J Fluid Mech, 1978, 85, pp 685691 Google Scholar
5. Lilley, G.M., On the noise from jets 1974. AGARD CP-131, pp 13–1 to 13–12.Google Scholar
6. Lighthill, M.J., The final panel discussion in Computational Aeroacoustics, Hardin, J.C. and Hussaini, M.Y. (Eds), Springer-Verlag, NY, USA, 1993.Google Scholar
7. Wang, M., Freund, J.B. and Lele, S.K., Computational prediction of flow-generated sound, Annual Review Fluid Mech, 2006, 38, pp 483512.Google Scholar
8. Crighton, D.G., Computational Aeroacoustics for Low Mach Number Flows in Computational Aeroacoustics Hardin, J.C. and Hussaini, M.Y. (Eds), Springer-Verlag, NY, USA, 1993.Google Scholar
9. Suponitsky, V., Avital, E.J. and Gaster, M., On three dimensionality and active control of incompressible cavity flow, 2005, Phys Fluids, 17, (10), pp 104, 103.Google Scholar
10. Lai, H. and Luo, K.H., A three-dimensional hybrid LES-Acoustic analogy method for predicting open-cavity noise, Flow Turbulence Combustion, 2007, 79, (1), pp 5582.Google Scholar
11. Crow, S.C. and Champagne, F.H., Orderly structure in jet turbulence. J Fluid Mech, 1971, 48, (3), pp 547591.Google Scholar
12. Kibens, V., Discrete noise spectrum generated by an acoustically excited jet, AIAA J, 1980, 18, (4), pp 431441.Google Scholar
13. Laufer, J. and Yen, T.C., Noise generation by a low Mach number jet. J Fluid Mech, 1983, 134, pp 131.Google Scholar
14. Crighton, D.G. and Huerre, P., Shear-layer pressure fluctuations and superdirective acoustic sources, J Fluid Mech, 1990, 220, pp 355368.Google Scholar
15. Avital, E.J. and Sandham, N.D., Note on the structure of the acoustic field emitted by a wave packet, J Sound Vib, 1997, 204, (3), pp 533539.Google Scholar
16. Avital, E.J., Sandham, N.D., Luo, K.H. and Musafir, R.E., Calculation of basic sound radiation of axisymmetric jets by direct numerical simulation. AIAA J, 1999, 37, (2), pp 161168.Google Scholar
17. Jiang, X., Avital, E.J. and Luo, K.H., Direct computation and aeroa-coustic modelling of a subsonic axisymmetric jet, J Sound Vib, 2004, 270, pp 525538.Google Scholar
18. Ho, C.M. and Gutmark, E., Vortex induction and mass entrainment in a small-aspect-ratio elliptic jet, J Fluid Mech, 1987, 179, pp 383405.Google Scholar
19. Bridges, J.E and Hussain, A.K.M.F., Roles of initial condition and vortex pairing in jet noise, J Sound Vibr, 1986, 117, (2), pp 289311.Google Scholar
20. Tam, C.K. and Zaman, K.B.M.Q., Subsonic jet noise from non-axisymmetric and tabbed nozzles, AIAA J, 2000, 38, (4), pp 592599.Google Scholar
21. Sato, H., The stability and transition of a two-dimensional jet, J Fluid Mech, 1960, 7, pp 5380.Google Scholar
22. Mumford, J.C., The structure of the large eddies in fully developed turbulent shear flows. Part 1: The plane jet, J Fluid Mech, 1982, 118, pp 241268.Google Scholar
23. Stanely, S.A, Sarkar, S. and Mellado, A., Study of the flow-field evolution and mixing in a planar turbulent jet using direct numerical simulation, J Fluid Mech, 2002, 450, pp 377407.Google Scholar
24. Kouts, C.A. and Yu, J.C., Far noise field of a two-dimensional subsonic jet, AIAA J, 1975, 13, pp 10311035.Google Scholar
25. Munro, S.E. and Ahuja, K.K., Aeroacoustics of a high aspect-ratio jet, 9th AIAA/CEAS Aeroacoustics conf., 2003, AIAA paper 2003-3323, South Carolina, USA.Google Scholar
26. Abramowitz, M. and Stegun, I.A., Handbook of Mathematical Functions, Dover Publications, New York, USA, 1972.Google Scholar
27. Avital, E.J., A second look at the role of the fast Fourier transform as an elliptic solver, Int J Num Meth Fluids, 2005, 48, (9), pp 909927.Google Scholar
28. Kim, W.W. and Menon, S., An unsteady incompressible Navier-Stokes solver for large eddy simulation of turbulent flow, Int J Num Meth Fluids, 31, pp 9631017.Google Scholar
29. Inagaki, M., Kondoh, T. and Nagano, Y., A mixed-time-scale SGS model for practical LES. Trans Japan Soc Mech Eng, 2002, Part B. 68, (673), pp 25722579.Google Scholar
30. Supontisky, V., Avital, E. and Gaster, M., Hydrodynamics and sound generation of low speed planar jet, J Fluid Eng (in press).Google Scholar
31. Michalke, A., Survey on jet instability theory. Prog Aerospace Sci, 1984, 21, pp 159199.Google Scholar
32. Lilley, G.M., The radiated noise from isotropic turbulence with applications to the theory of jet noise. J Sound Vib, 1996, 190, (3), pp 463476.Google Scholar
33. Musafir, R.E., On the sound field of organized vorticity in jet flows, 13th Int. Congress on Acoustics, 1989, 2, pp 6366.Google Scholar