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Dynamics of an impinging jet. Part 1. The feedback phenomenon

Published online by Cambridge University Press:  20 April 2006

Chih-Ming Ho
Affiliation:
Department of Aerospace Engineering, University of Southern California, Los Angeles
Nagy S. Nosseir
Affiliation:
Department of Aerospace Engineering, University of Southern California, Los Angeles Present address: Department of Applied Science, New York University, 26–36 Stuyvesant St, New York, N. Y. 10003.

Abstract

In a high-speed subsonic jet impinging on a flat plate, the surface pressure fluctuations have a broad spectrum due to the turbulent nature of the high-Reynolds-number jet. However, these pressure fluctuations dramatically change their pattern into almost periodic waves, if the plate is placed close to the nozzle (x0/d < 7·5). In the present study extensive measurements of the near-field pressure provide solid support for the hypothesis that a feedback mechanism is responsible for the sudden change observed in the pressure fluctuations at the onset of resonance. The feedback loop consists of two elements: the downstream-convected coherent structures and upstream-propagating pressure waves generated by the impingement of the coherent structures on the plate. The upstream-propagating waves and the coherent structures are phase-locked at the nozzle exit. The upstream-propagating waves excite the thin shear layer near the nozzle lip and produce periodic coherent structures. The period is determined by the convection speed of the coherent structures, the speed of the upstream-propagating waves as well as the distance between the nozzle and the plate. An instability process, herein referred to as the ‘collective interaction’, was found to be critical in closing the feedback loop near the nozzle lip.

Type
Research Article
Copyright
© 1981 Cambridge University Press

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References

Batchelor, G. K. 1967 An Introduction to Fluid Dynamics, pp. 511517. Cambridge University Press.
Browand, F. K. & Laufer, J. 1975 The role of large scale structures in the initial development of circular jet. Proc. 4th Biennial Symp. Turbulence in Liquids, Univ. Missouri-Rolla, pp. 333344. Princeton, New Jersey: Science.Google Scholar
Brown, G. & Roshko, A. 1971 The effect of density difference on the turbulent mixing layer. AGARD Conf. Proc. no. 93, paper 23.Google Scholar
Crow, S. C. & Champagne, F. H. 1971 Orderly structure in jet turbulence. J. Fluid Mech. 48, 547591.Google Scholar
Donaldson, C., Snedeker, R. S. & Margolis, D. P. 1971 A study of free jet impingement. Part 2. Free jet turbulent structure and impingement heat transfer. J. Fluid Mech. 45, 477512.Google Scholar
Foss, J. F. & Kleis, S. J. 1976 Mean flow characteristics for the oblique impingement of an axisymmetric jet. A.I.A.A. J. 14, 705706.Google Scholar
Gutmark, E., Wolfshtein, M. & Wygnanski, I. 1978 The plane turbulent impinging jet. J. Fluid Mech. 88, 737756.Google Scholar
Ho, C. M. & Huang, L. S. 1978 Subharmonics and vortex merging in an unsteady shear layer. Bull. Am. Phys. Soc. 23, 1007.Google Scholar
Ho, C. M. & Huang, L. S. 1980 Subharmonics and vortex merging in mixing layers. J. Fluid Mech. (submitted).Google Scholar
Ho, C. M. & Nosseir, N. S. 1980 Large coherent structures in an impinging turbulent jet. Turbulent Shear Flows 2, p. 297. Springer.
Ho, C. M., Plocher, D. A. & Leve, H. L. 1977 Surface pressure fluctuations generated by a jet impinging on a curved plate. A.I.A.A. paper no. 77–114.Google Scholar
Kovasznay, L. S. G., Kibens, V. & Blackwelder, R. F. 1970 Large-scale motion in the intermittent region of a turbulent boundary layer. J. Fluid Mech. 41, 283325.Google Scholar
Lau, J. C., Fisher, M. J. & Fuchs, H. V. 1972 The intrinsic structure of turbulent jets. J. Sound Vib. 22, 379406.Google Scholar
Michalke, A. 1972 Instabilität eines kompressiblen runden Freistrahls unter Berücksichtigung des Einflusses der Strahlgrenzschichtdicke. Z. Flugwiss. 19, 319328.Google Scholar
Neuwerth, G. 1973 Dr.-Ing. Thesis. Tech. Hochsch. Aachen, West Germany.
Nosseir, N. S. 1979 On the feedback phenomenon and noise generation of an impinging jet. Ph.D. thesis, Univ. of Southern Calif., U.S.A.
Nosseir, N. S. & Ho, C. M. 1980 Pressure fields generated by instability waves and coherent structures in an impinging jet. A.I.A.A. paper no. 80–0980.Google Scholar
Powell, A. 1961 On the edgetone. J. Acoust. Soc. Am. 33, 395409.Google Scholar
Ribner, H. S. 1957 Reflection, transmission, and amplification of sound by a moving medium. J. Acoust. Soc. Am. 29, 435441.Google Scholar
Rockwell, D. & Naudascher, E. 1979 Self-sustained oscillations of impinging free shear layer. Ann. Rev. Fluid Mech. 11, 6794.Google Scholar
Tam, C. & Block, P. J. W. 1978 On the tones and pressure oscillations induced by flow over rectangular cavities. J. Fluid Mech. 89, 373399.Google Scholar
Townsend, A. A. 1956 The structure of turbulent shear flow. Cambridge University Press.
Wagner, F. R. 1971 The sound and flow field of an axially symmetric free jet upon impact on a wall. N.A.S.A. TT F-13942.Google Scholar
Williams, K. C. & Purdy, K. R. 1970 A prewhitening technique for recording acoustic turbulent flow data. Rev. Sci. Instrum. 41, 18971899.Google Scholar
Winant, C. D. & Browand, F. K. 1974 Vortex pairing: the mechanism of turbulent mixing layer growth at moderate Reynolds number. J. Fluid Mech. 63, 237255.Google Scholar
Wygnanski, I., Oster, D. & Fiedler, H. 1979 The forced, plane, turbulent mixing-layer: a challenge for the predictor. Proc. 2nd Int. Symp. Turbulent Shear Flows, London, 8.128.17. Springer.