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Effect of Mach number on the acoustic field of 2:1 elliptic-slot jet

Published online by Cambridge University Press:  04 July 2016

S. B. Verma
Affiliation:
Department of Aerospace Engineering, Indian Institute of Technology, Kanpur, India
E. Rathakrishnan
Affiliation:
Department of Aerospace Engineering, Indian Institute of Technology, Kanpur, India

Abstract

The shock-structure and the related acoustic field of underexpanded jets undergoes significant changes as the Mach number Mj is increased. The present investigation is carried out to study the effect of Mach number on an underexpanded 2:1 elliptic-slot jet. Experimental data are presented for fully expanded Mach numbers ranging from 1.3 to 2.0. It is observed that the ‘cross-over’ point at the end of the first cell at low Mach numbers gets replaced by a normal shock at a highly underexpanded condition resulting in the formation of a ‘barrel’ shock along the minor-axis side with a ‘bulb’ shock formed along the major-axis side. The above change in shock structure is accompanied by a related change in the acoustic field. The amplitude of fundamental frequency along the minor-axis side grows with Mj but falls beyond Mj = 1.75. Along the major-axis side, however, the fundamental frequency does not exist at low Mach numbers. It appears at Mj = 1.75 but then falls at Mj = 2.0. The related azimuthal directivity of overall noise levels (OASPL) shows significant changes with Mj.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society 2001 

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References

1. Powell, A. On the mechanism of choked jet noise, Proceedings of Physical Society of London, 1953, 66, pp 1,039–1,056.Google Scholar
2. Hubbard, H.H. and Lassiter, L.W. Experimental studies of jet noise, J Acoustical Soc of America, 1953, 25, (3), pp 381384.Google Scholar
3. Hammitt, A.G. The oscillations and noise of an overpressure sonic jet, J Aero Sci, 1961, 28, (9), pp 673680.Google Scholar
4. Glass, D.R. Effects of acoustic feedback in the spread and decay of supersonic jets, AIAA J, 1968, 6, (10), pp 1,890–1,897.Google Scholar
5. Raman, G. Screech cessation in underexpanded jets, AIAA–96–17, 2nd AIAA/CEAS aeroacoustics conference, 6–8 May 1996.Google Scholar
6. Ponton, M.K. and Seiner, J.M. The effects of nozzle exit lip thickness on plume resonance, J Sound and Vibration, 1992, 154, (3), pp 531549.Google Scholar
7. Norum, T.D. and Seiner, J.M. Broadband shock noise from supersonic jets, AIAA J, 1982, 20, (1), pp 6873.Google Scholar
8. Hussain, A.K.M.F. and Hussain, H.S. Elliptic jets part I: characteristics of excited and unexcited jets, J Fluid Mech, 1989, 208, pp 257320.Google Scholar
9. Gutmark, E. and Ho, C.M. Vortex induction and mass entrainment in a small aspect-ratio elliptic jet, J Fluid Mech, 1987, 179, pp 383405.Google Scholar
10. Verma, S.B. and Rathakrishnan, E. Mixing benefit and noise characteristics of notched elliptic-slot jets, AIAA paper 98–3,258, 34th AIAA/ASME/SAE/ASEE Joint Propulsion Conference, 13 July 1998, Ohio.Google Scholar
11. Verma, S.B. and Rathakrishnan, E. The shock-structure and acoustic field of 2:1 notched elliptic-slot jet, AIAA Paper No–99–2253, Session ABP–06, 35th AIAA/ASME/SAE/ASEE Joint Propulsion Conference, 20–24 June 1999, Los Angeles.Google Scholar
12. Crighton, D.G. Instability of an elliptic jet, J Fluid Mech, 1973, 59, pp 665667.Google Scholar
13. Hussain, A.K.M.F. and Ramjee, V. Effects of axisymmetric contraction shape on incompressible turbulent flows, Trans ASME, J Fluids Eng, 1976, 98, pp 5859.Google Scholar
14. Baodanoff, D., Krothapalli, A. and Karamcheti, K.. On the mixing of a rectangular jet, J Fluid Mech, 1981, 107, pp 201220.Google Scholar
15. Tam, C.K.W. The shock-cell structures and screech frequency of rectangular and nonaxisymmetric supersonic jets, J Sound and Vibration, 1988, 121, (1), pp 135147.Google Scholar
16. Seiner, J.M., Tam, C.K.W. and Yu, J.C. Proposed relationship between broadband shock-associated noise and screech tones, J Sound and Vibration, 1986, 110, pp 309321.Google Scholar
17. Abdel-Fattah, A.M. Discrete tone emission from high-pressure ratio supersonic jets from C-D nozzles, AIAA Journal, 1988, 26, (3), pp 283291.Google Scholar
18. Schadow, K.C., Wilson, K.J., Gutmark, E. and Bicker, C.J. Near-field pressure radiation and flow characteristics in low supersonic circular and elliptic jets, Physics Fluids, 1988, 31, (9), pp 2,524–2,532.Google Scholar
19. Schadow, K.C., Bicker, C.J. and Gutmark, E. Near acoustic field and shock structure of rectangular supersonic jets, Experiments in Fluids, AIAA Journal, 28, (7), pp 1,163–1,170.Google Scholar
20. Gutmark, E., Schadow, K.C., Koshigoe, S. and Wilson, K.J. Combustion related shear flow dynamics in elliptic supersonic jets, AIAA J, 1989, 27, (10), pp 1,347–1,353.Google Scholar