Hostname: page-component-586b7cd67f-dsjbd Total loading time: 0 Render date: 2024-11-23T18:10:49.672Z Has data issue: false hasContentIssue false

Indirect combustion noise

Published online by Cambridge University Press:  20 July 2010

M. S. HOWE*
Affiliation:
College of Engineering, Boston University, Boston, MA 02215, USA
*
Email address for correspondence: [email protected]

Abstract

An analysis is made of the noise generated during the passage of quiescent temperature/entropy inhomogeneities through regions of rapidly accelerated mean flow. This is an important source of jet engine core noise. Bake et al. (J. Sound Vib., vol. 326, 2009, pp. 574–598) have used an ‘entropy wave generator’ coupled with a converging–diverging nozzle to perform a series of canonical measurements of the sound produced when the inhomogeneity consists of a nominally uniform slug of hot gas. When flow separation and jet formation occur in the diffuser section of the nozzle, it is shown in this paper that the vortex sound generated by the jet is strongly correlated with the entropy noise produced by the slug and that the overall noise level is significantly reduced. Streamwise ‘stretching’ of the hot slug during high subsonic acceleration into the nozzle and the consequent attenuation of the entropy gradient in the nozzle are shown to significantly decrease the effective rate at which indirect combustion noise increases with the Mach number. Numerical predictions indicate that this is responsible for the peak observed by Bake et al. in the entropy-generated sound pressure at a nozzle Mach number near 0.6.

Type
Papers
Copyright
Copyright © Cambridge University Press 2010

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

REFERENCES

Bake, F., Kings, N., Fischer, A. & Rohle, I. 2009 a Experimental investigation of the entropy noise mechanism in aero-engines. Intl J. Aeroacoust. 8, 125141.CrossRefGoogle Scholar
Bake, F., Michel, U. & Rohle, I. 2007 Investigation of entropy noise in aeroengine combustors. J. Engng Gas Turbines Power 129, 370376.CrossRefGoogle Scholar
Bake, F., Richter, C. Muhlbauer, B., Kings, N., Rohle, I., Thiele, F. & Noll, B. 2009 b The entropy wave generator (EWG): a reference case on entropy noise. J. Sound Vib. 326, 574598.CrossRefGoogle Scholar
Baker, B. B. & Copson, E. T. 1969 The Mathematical Theory of Huygens' Principle, 2nd edn. Oxford University Press.Google Scholar
Batchelor, G. K. 1967 An Introduction to Fluid Dynamics. Cambridge University Press.Google Scholar
Bloy, A. W. 1979 The pressure waves produced by the convection of temperature disturbances in high subsonic nozzle flows. J. Fluid Mech. 94, 465475.CrossRefGoogle Scholar
Bohn, M. S. 1977 Response of a subsonic nozzle to acoustic and entropy disturbances. J. Sound Vib. 52, 283297.CrossRefGoogle Scholar
Candel, S. M. 1972 Analytical studies of some acoustic problems of jet engines. PhD thesis, California Institute of Technology, Pasadena, CA.Google Scholar
Castillo, L., Wang, X. & George, W. K. 2004 Separation criterion for turbulent boundary layers via similarity analysis. Trans. ASME J. Fluids Engng 126, 297304.CrossRefGoogle Scholar
Crighton, D. G., Dowling, A. P., Ffowcs Williams, J. E., Heckl, M. & Leppington, F. G. 1992 Modern Methods in Analytical Acoustics (Lecture Notes). Springer.CrossRefGoogle Scholar
Cumpsty, N. A. 1979 Jet engine combustion noise: pressure, entropy and vorticity perturbations produced by unsteady combustion or heat addition. J. Sound Vib. 66, 527544.CrossRefGoogle Scholar
Cumpsty, N. A. & Marble, F. E. 1977 a Core noise from gas turbine exhausts. J. Sound Vib. 54, 297309.CrossRefGoogle Scholar
Cumpsty, N. A. , N. A. & Marble, F. E. 1977 b The interaction of entropy fluctuations with turbine blade rows; a mechanism of turbojet engine noise. Proc. R. Soc. Lond. A 357, 323344.Google Scholar
FfowcsWilliams, J. E. Williams, J. E. & Howe, M. S. 1975 The generation of sound by density inhomogeneities in low Mach number nozzle flows. J. Fluid Mech. 70, 605622.Google Scholar
Howe, M. S. 1975 Contributions to the theory of aerodynamic sound, with application to excess jet noise and the theory of the flute. J. Fluid Mech. 71, 625673.CrossRefGoogle Scholar
Howe, M. S. 1998 Acoustics of Fluid–Structure Interactions. Cambridge University Press.CrossRefGoogle Scholar
Howe, M. S. 2002 Theory of Vortex Sound. Cambridge University Press.CrossRefGoogle Scholar
Howe, M. S., Iida, M, Maeda, T. & Sakuma, Y. 2006 Rapid calculation of the compression wave generated by a train entering a tunnel with a vented hood. J. Sound Vib. 297, 267292.CrossRefGoogle Scholar
Howe, M. S. & McGowan, R. S. 2007 Sound generated by aerodynamic sources near a deformable body, with application to voiced speech. J. Fluid Mech 592, 367392.CrossRefGoogle Scholar
Landau, L. D. & Lifshitz, E. M. 1987 Fluid Mechanics, 2nd edn. Oxford University Press.Google Scholar
Leyko, M., Nicoud, F., Moreau, S. & Poinsot, T. 2009 Numerical and analytical investigation of the indirect combustion noise in a nozzle. C. R. Mec. 337, 415425.CrossRefGoogle Scholar
Leyko, M., Nicoud, F. & Poinsot, T. 2009 Comparison of direct and indirect combustion noise mechanisms in a model combustor. AIAA J. 47, 27092716.CrossRefGoogle Scholar
Liepmann, H. W. & Roshko, A. 2002 Elements of Gas Dynamics. Dover.Google Scholar
Lighthill, J. 1978 Waves in Fluids. Cambridge University Press.Google Scholar
Lighthill, M. J. 1952 On sound generated aerodynamically. Part I: general theory. Proc. R. Soc. Lond. A 211, 564587.Google Scholar
Lu, H. Y. 1977 An analytical model for entropy noise of subsonic nozzle flow. AIAA Paper 77–1366.CrossRefGoogle Scholar
Marble, F. E. 1973 Acoustic disturbances from gas nonuniformities convected through a nozzle. In Interagency Symposium on University Research in Transportation Noise, Stanford University, Stanford, CA.Google Scholar
Marble, F. E. & Candel, S. M. 1977 Acoustic disturbance from gas non-uniformities convected through a nozzle. J. Sound Vib. 55, 225243.CrossRefGoogle Scholar
Möhring, W. 1980 Modelling low Mach number noise. In Mechanics of Sound Generation in Flows (ed. Muller, E.-A.), pp. 8596. Springer.Google Scholar
Morfey, C. L. 1973 Amplification of aerodynamic noise by convected flow inhomogeneities. J. Sound Vib. 31, 391397.CrossRefGoogle Scholar
Morse, P. M. & Feshbach, H. 1953 Methods of Theoretical Physics. McGraw-Hill.Google Scholar
Muhlbauer, B., Noll, B. & Aigner, M. 2009 Numerical investigation of the fundamental mechanism for entropy noise generation in aero-engines. Acta Acust. United Acust. 95, 470478.CrossRefGoogle Scholar
Muthukrishnan, M., Strahle, W. & Neale, D. 1978 Separation of hydrodynamic, entropy, and combustion noise in a gas turbine combustor. AIAA J. 16, 320327.CrossRefGoogle Scholar
Poinsot, T. & Veynante, D. 2005 Theoretical and Numerical Combustion, 2nd edn. R. T. Edwards.Google Scholar
Rayleigh, L. 1945 Theory of Sound, vol. 2. Dover.Google Scholar
Sparrow, E. M., Abraham, J. P. & Minkowycz, W. J. 2009 Flow separation in a diverging conical duct: Effect of Reynolds number and divergence angle. Intl J. Heat Transfer 52, 30793083.CrossRefGoogle Scholar
Strahle, W. C. 1971 On combustion generated noise. J. Fluid Mech. 49, 399414.CrossRefGoogle Scholar
Strahle, W. C. 1978 Combustion noise. Prog. Energy Combust. Sci. 4, 157176.CrossRefGoogle Scholar
Zukoski, E. E. & Auerbach, J. M. 1976 Experiments concerning the response of supersonic nozzles to fluctuating inlet conditions. ASME J. Engng Power, 98, 6063.CrossRefGoogle Scholar