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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
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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

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