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On the tones and pressure oscillations induced by flow over rectangular cavities

Published online by Cambridge University Press:  19 April 2006

Christopher K. W. Tam  and
Patricia J. W. Block
Christopher K. W. Tam
Affiliation:
Department of Mathematics, Florida State University, Tallahassee
Patricia J. W. Block
Affiliation:
NASA Langley Research Center, Hampton, Virginia 23665
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Abstract

Experimental measurements of the frequencies of discrete tones induced by flow over rectangular cavities were carried out over a range of low subsonic Mach numbers to provide a reliable data base for (aircraft wheel well) cavity noise consideration. A mathematical model of the cavity tones and pressure oscillation phenomenon based on the coupling between shear layer instabilities and acoustic feedback is developed to help in understanding the tone generation mechanism. Good agreement is found between discrete tone frequencies predicted by the model and experimental measurements over a wide range of Mach numbers. Evidence of tones generated by the cavity normal mode resonance mechanism at very low subsonic Mach numbers is also presented.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 89 , Issue 2 , 28 November 1978 , pp. 373 - 399
Copyright
© 1978 Cambridge University Press

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References

Bilanin, A. J. & Covert, E. E. 1973 Estimation of possible excitation frequencies for shallow rectangular cavities. A.I.A.A.J. 11, 347–351.Google Scholar
Block, P. J. W. 1976 Noise response of cavities of varying dimensions at subsonic speeds. N.A.S.A. Tech. Note D-8351.Google Scholar
Briggs, R. J. 1964 Electron Stream Interactions with Plasmas. M.I.T. Press.
Champagne, F. H., Pao, Y. H. & Wygnanski, I. J. 1976 On the two-dimensional mixing region. J. Fluid Mech. 74, 209–250.Google Scholar
Chan, Y. Y. 1974a, b Spatial waves in turbulent jets. Phys. Fluids 17, 46–53, 1667–1670.Google Scholar
Chan, Y. Y. 1976 Spatial waves of higher modes in an axisymmetric turbulent jet. Phys. Fluids 19, 2042–2043.Google Scholar
Chan, Y. Y. 1977 Wavelike eddies in a turbulent jet. A.I.A.A. J. 15, 992–1001.Google Scholar
Covert, E. E. 1970 An approximate calculation of the onset velocity of cavity oscillations. A.I.A.A. J. 8, 2189–2194.Google Scholar
Dunham, W. H. 1962 Flow induced cavity resonance in viscous compressible and incompressible fluids. 4th Symp. Naval Hydrody. Propulsion Hydroelasticity, paper ACR-92, p. 1057–1081.
East, L. F. 1966 Aerodynamically induced resonance in rectangular cavities. J. Sound Vib. 3, 277–287.Google Scholar
Gibson, J. S. 1974 Non-engine aerodynamic noise investigation of a large aircraft. N.A.S.A. Contractor Rep. no. 2378.Google Scholar
Gottlieb, P. 1960 Sound source near a velocity discontinuity. J. Acoust. Soc. Am. 32, 1117–1122.Google Scholar
Healy, G. J. 1974 Measurements and analysis of aircraft far-field aerodynamic noise. N.A.S.A. Contractor Rep. no. 2377.Google Scholar
Heller, H. H. & Bliss, D. B. 1975 The physical mechanism of flow induced pressure fluctuations in cavities and concepts for their suppression. A.I.A.A. Paper no. 75–491.Google Scholar
Heller, H. H., Holmes, D. G. & Covert, E. E. 1971 Flow-induced pressure oscillations in shallow cavities. J. Sound Vib. 18, 545–553.Google Scholar
Krishnamurty, K. 1955 Acoustic radiation from two-dimensional rectangular cutouts in aerodynamic surfaces. N.A.C.A. Tech. Note no. 3487.Google Scholar
Liepman, H. W. & Laufer, J. 1974 Investigation of free turbulent mixing. N.A.C.A. Tech. Note no. 1257.Google Scholar
Lin, C. C. 1955 Theory of Hydrodynamic Stability. Cambridge University Press.
Maull, D. J. & East, L. F. 1963 Three-dimensional flow in cavities. J. Fluid Mech. 16, 620–632.Google Scholar
Michalke, A. 1965 On spatially growing disturbances in an inviscid shear layer. J. Fluid Mech. 23, 521–544.Google Scholar
Miles, J. W. 1958 On the disturbed motion of a plane vortex sheet. J. Fluid Mech. 4, 538–552.Google Scholar
Moore, C. J. 1977 The role of shear-layer instability waves in jet exhaust noise. J. Fluid Mech. 80, 321–367.Google Scholar
Patel, R. P. 1973 An experimental study of a plane mixing layer. A.I.A.A. J. 11, 67–71.Google Scholar
Plumblee, H. E., Gibson, J. S. & Lassiter, L. W. 1962 A theoretical and experimental investigation of the acoustic response of cavities in an aerodynamic flow. U.S. Air Force Rep. WADD-TR-61–75.Google Scholar
Roshko, A. 1955 Some measurements of flow in a rectangular cutout. N.A.C.A. Tech. Note no. 3488.Google Scholar
Rossiter, J. E. 1964 Wind tunnel experiments of the flow over rectangular cavities at subsonic and transonic speeds. Aero. Res. Counc. R. & M. no. 3438.Google Scholar
Schlichting, H. 1960 Boundary Layer Theory. McGraw-Hill.
Spee, B. M. 1966 Wind tunnel experiments on unsteady cavity flow at high subsonic speeds. AGARD Current Paper no. 4, pp. 941–974.Google Scholar
Tam, C. K. W. 1971 Directional acoustic radiation from a supersonic jet generated by shear layer instability. J. Fluid Mech. 46, 757–768.Google Scholar
Tam, C. K. W. 1976 The acoustic modes of a two-dimensional rectangular cavity. J. Sound Vib. 49, 353–364.Google Scholar
Wygnanski, I. J. & Fiedler, H. E. 1970 The two-dimensional mixing region. J. Fluid Mech. 41, 327–361.Google Scholar