Hostname: page-component-6bf8c574d5-vmclg Total loading time: 0 Render date: 2025-02-21T11:48:43.732Z Has data issue: false hasContentIssue false
  • English
  • Français

The generation of combustion noise by chemical inhomogeneities in steady, low-Mach-number duct flows

Published online by Cambridge University Press:  19 April 2006

Y. L. Sinai
Y. L. Sinai
Affiliation:
Department of Applied Mathematical Studies, Leeds University, Leeds LS2 9JT
Get access Rights & Permissions [Opens in a new window]

Abstract

The low-frequency character of two model problems is exploited in order to illustrate the acoustic consequences of the interactions between chemically reacting (or relaxing) inhomogeneities and flames or constrictions in ducts. The monopole of the former is associated with heat transfer in a fluid which exhibits variations in its specific heats, while in the latter there is an extension of the classical phenomenon associated with the pulsations of an inhomogeneity of the fluid compressibility. This second mechanism is found to be insignificant, but the heat-conduction source is considered to be very powerful at sufficiently low Mach numbers; in fact, to first order it is independent of the flow Mach number for laminar, as well as a certain class of turbulent, flows.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 99 , Issue 2 , 25 July 1980 , pp. 383 - 397
Copyright
© 1980 Cambridge University Press

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

Borisov, V. I. 1978 Rate of uniform propagation of laminar flames in plane channels. Combustion Explosion and Shock Waves 14, 151–154.Google Scholar
Bragg, S. L. 1963 Combustion noise. J. Inst. Fuel 36, 12–16.Google Scholar
Cargill, A. M. 1979 The generation and suppression of low-frequency sound in nozzle flows at finite Mach number (to appear).
Clarke, J. F. & McChesney, M. 1976 Dynamics of Relaxing Gases. Butterworth.
Chiu, H. H. & Summerfield, M. 1974 Theory of combustion noise. Acta Astron. 1, 967–984.Google Scholar
Chu, B.-T. 1955 Pressure waves generated by addition of heat in a gaseous medium. N.A.C.A. Tech. Note 3411.Google Scholar
Crighton, D. G. 1975 Basic principles of aerodynamic noise generation. Prog. Aerosp. Sci. 16, 31–96.Google Scholar
de Groot, S. R. & Mazur, P. 1969 Non-Equilibrium Thermodynamics. North Holland.
Dowling, A. P. 1979 Mean temperature and flow effects on combustion noise. A.I.A.A. Paper no. 79-0590.Google Scholar
Ffowcs Williams, J. E. 1974 Sound production at the edge of a steady flow. J. Fluid Mech. 66, 791–816.Google Scholar
Ffowcs Williams, J. E. & Howe, M. S. 1975 The generation of sound by density inhomogeneities in low Mach number nozzle flows. J. Fluid Mech. 70, 605–622.Google Scholar
Guénoche, H. 1964 Flame propagation in tubes and in closed vessels. In Non-Steady Flame Propagation (ed. G. H. Markstein). Pergamon.
Howe, M. S. 1975a The generation of sound by aerodynamic sources in an inhomogeneous steady flow. J. Fluid Mech. 67, 597–610.Google Scholar
Howe, M. S. 1975b Contributions to the theory of aerodynamic sound, with application to excess jet noise and the theory of the flute. J. Fluid Mech. 71, 625–673.Google Scholar
Howe, M. S. 1979 Attenuation of sound in a low Mach number nozzle flow. J. Fluid Mech. 91, 209–229.Google Scholar
Kempton, A. J. 1976 Heat diffusion as a source of aerodynamic sound. J. Fluid Mech. 78, 1–31.Google Scholar
Landau, L. D. & Lifshitz, E. M. 1959 Fluid Mechanics. Pergamon.
Lesser, M. B. & Crighton, D. G. 1975 Physical acoustics and the method of matched asymptotic expansions. Phys. Acoust. 11, 69–149.Google Scholar
Lewis, B. & Elbe, G. von 1938 Combustion, Flames and Explosions of Gases. Cambridge University Press.
Libby, P. A. & Williams, F. A. 1976 Turbulent flows involving chemical reactions. Ann. Rev. Fluid Mech. 8, 351–376.Google Scholar
Liepmann, H. W. & Roshko, A. 1957 Elements of Gasdynamics. Wiley.
Lighthill, M. J. 1952 On sound generated aerodynamically. I. General theory. Proc. Roy. Soc. A 211, 564–587.Google Scholar
Mamayev, O. I. 1975 Temperature-Salinity Analysis of World Ocean Waters. Elsevier.
Morfey, C. L. 1973 Amplification of aerodynamic noise by convected flow inhomogeneities. J. Sound Vib. 31, 391–397.Google Scholar
Morfey, C. L. 1976 Sound radiation due to unsteady dissipation in turbulent flows. J. Sound Vib. 48, 95–111.Google Scholar
Morse, P. M. & Ingard, K. U. 1968 Theoretical Acoustics. McGraw-Hill.
Munt, R. M. 1977 The interaction of sound with a subsonic jet issuing from a semi-infinite cylindrical pipe. J. Fluid Mech. 83, 609–640.Google Scholar
Nayfeh, A. H. 1973 Perturbation Methods. Wiley.
Noble, B. 1958 Methods Based on the Wiener-Hopf Technique for the Solution of Partial Differential Equations. Pergamon.
Obermeier, F. 1975 Sound generation by heated subsonic jets. J. Sound Vib. 41, 463–472.Google Scholar
Rayleigh, J. W. S. 1945 The Theory of Sound, vol. II. Dover.
Sirovich, L. 1968 Steady gasdynamic flows. Phys. Fluids 11, 1424–1439.Google Scholar
Strahle, W. C. 1975 The convergence of theory and experiment in direct combustion generated noise. A.I.A.A. Paper no. 75-522.Google Scholar
Strahle, W. C. 1976 Noise produced by fluid inhomogeneities. A.I.A.A. J. 14, 985–987.Google Scholar
van Dyke, M. 1975 Perturbation Methods in Fluid Mechanics. Stanford, California: Parabolic.
Whitfield, O. J. & Howe, M. S. 1976 The generation of sound by two-phase nozzle flows and its relevance to excess noise of jet engines. J. Fluid Mech. 75, 553–576.Google Scholar
Williams, F. A. 1965 Combustion Theory. Addison-Wesley.