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Abstract

Starting from numerical models which are used in engineering, it is shown that it is possible to bring to light the main features which are responsible for the generation of self-sustained tones in turbulent flows.

The numerical study is based on our experimental results. The set-up consists of two diaphragms in tandem in a duct, leading to self-sustained tones up to 150 dB.

The modelled flow is assumed to be incompressible. It does not allow estimation of noise levels. However the calculation of the flow field exhibits the necessary conditions for the conversion of the kinetic energy towards the acoustical field.

An initial stationary model shows the location of the acoustical source. A second non-stationary L.E.S. model describes the dynamics of the detachment and impingement of the coherent structures.

An experimental noise reduction method is performed. The numerical approach contributes an explanation of the noise reduction mechanism.

References

Parker

, Resonance effects in wake shedding from parallel plates: Calculation of resonant frequencies, Journal of Sound and Vibration Vol. 5, No. 2, pp. 330–343, 1967.

Hourigan

Welsh

M.C.

Thompson

Stokes

, Aerodynamic sources of acoustic resonance in a duct with baffles, Journal fluid and structures Vol. 4, pp. 345–370, 1990.

Nomoto

Culick

F.E.C.

, An experimental investigation of pure tone generation by vortex shedding in a duct, J. Sound Vib. Vol. 84, No. 2, pp. 247–252, 1982.

Powell

, Theory of vortex sound, Journal of the Acoustical Society of America Vol. 36, No. 1, 1964.

Vuillot

, Vortex shedding phenomena in solid rocket motors, Journal of Propulsion and power, Vol. 11, No. 4, 1995.

Peters

M.C.A.M.

Hirschberg

, Acoustically induced periodic vortex shedding at sharp edged open channel ends simple vortex models, J. Sound Vib., Vol. 161, No. 2, pp. 281–299, 1993.

Howe

M.S.

, The generation of sound by aerodynamic sources in an inhomogeneous steady flow, J, Fluid mech. Vol. 67, part 3, pp. 597–610, 1975.

Yudin

E.Y.

, “On the Vortex Sound of Rotating Rods”, Natl. Advisory Comm. Aeron. Tech. Mem. No. 1136, 1947.

Coiret

A.L.

, Mise en évidence et étude expérimentale d'une bifurcation turbulence réductrice des bruits auto-entretenus dans les écoulements, thèse de l'Université de La Rochelle, 1999.

10.

Launder

B.E.

Spalding

D.B.

, Lectures in Mathematical Models of Turbulence. Academic Press, London, 1972.

11.

Schumann

, Direct and large eddy simulation of turbulence. Summary of the state-of-the-art. VK1 LS 1991–02: Introduction to the modeling of turbulence, 1991.

12.

Yakhot

Orszag

S.A.

Yakhot

Israeli

, Renormalization Group Formulation of Large-Eddy Simulation. Journal of Scientific Computing, Vol. 4, pp. 139–158, 1989.

13.

Christiansen

J. P.

, Numerical simulation of hydrodynamics by the method of point vortices, J. Comput. Phys. Vol. 13, pp. 363–379, 1973.

14.

Chorin

A.J.

Bernard

P.S.

, Discretisation of a vortex sheet with an example of roll-up, J. Comput. Phys. Vol. 13, pp. 423–429, 1973.

15.

Baker

G. R.

, The “cloud in cell” technique applied to the roll up of vortex sheets, J. Comput. Phys. Vol. 31, pp. 76–95, 1979.

16.

Giovannini

Oppenheim

A. K.

, Analyse de différents types d'écoulements internes par la méthode des vortex aléatoires, Journal de mécanique théorique et appliquée Vol. 6, No. 6, pp. 771–787, 1987.

17.

Huang

X. Y.

Weaver

D. S.

, On the active control of shear layer oscillations across a cavity in the presence of pipeline acoustic resonance, J. Fluids Struct., Vol. 5, pp. 207–219, 1991.

18.

Soreefan

, Contribution à l'étude des bruits auto-entretenus créés par un jet confiné recontrant un obstacle, Thèse de l'Université de Poitiers, 1993.

19.

Henry

Sakout

Coiret

Hamdouni

, A new way of reducing self-sustained flow noise, Journal of the Acoustical Society of America, Vol. 103, No. 5, part 2, p. 2917, 1998.

20.

Henry

Sakout

Coiret

Marrot

, Flow noise reduction using stable paths of flow bifurcation 4th AIAA/CEAS Aeroacoustics Conference, Toulouse, Juin 1998.

21.

Michalke

, Vortex formation in a free boundary layer according to stability theory. J. fluid mech. Vol. 22, No. 2, pp. 371–383, 1965.

A Numerical Approach of Self-Sustained Tone Generation and Reduction in Ducts

Abstract

References