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Spatial Correlation of Heat Release Rate and Sound Emission from Turbulent Premixed Flames

Liu, Y, Dowling, AP, Swaminathan, N and Dunstan, TD (2012) Spatial Correlation of Heat Release Rate and Sound Emission from Turbulent Premixed Flames Combustion and Flame, 159 (7). pp. 2430-2440.

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The two-point spatial correlation of the rate of change of fluctuating heat release rate is central to the sound emission from open turbulent flames, and a few attempts have been made to address this correlation in recent studies. In this paper, the two-point correlation and its role in combustion noise are studied by analysing direct numerical simulation (DNS) data of statistically multi-dimensional turbulent premixed flames. The results suggest that this correlation function depends on the separation distance and direction but, not on the positions inside the flame brush. This correlation can be modelled using a combination of Hermite–Gaussian functions of zero and second order, i.e. functions of the form (1-Ax²)exp(-Bx²) for constants A and B, to include its possible negative values. The integral correlation volume obtained using this model is about 0.2δL³ with the length scale obtained from its cube root being about 0.6δL, where δL is the laminar flame thermal thickness. Both of the values are slightly larger than the values reported in an earlier study because of the anisotropy observed for the correlation. This model together with the turbulence-dependent parameter Κ, the ratio of the root-mean-square (RMS) value of the rate of change of reaction rate to the mean reaction rate, derived from the DNS data is applied to predict the far-field sound emitted from open flames. The calculated noise levels agree well with recently reported measurements and show a sensitivity to Κ values.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mechanical Engineering Sciences
Authors :
Date : July 2012
Identification Number : 10.1016/j.combustflame.2012.03.003
Uncontrolled Keywords : combustion noise from open flames, two-point correlation, heat release rate fluctuation, correlation volume and length scale, DNS V-flames
Additional Information : NOTICE: this is the author’s version of a work that was accepted for publication in Combustion and Flame. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Combustion and Flame, 159(7), July 2012, DOI 10.1016/j.combustflame.2012.03.003.
Depositing User : Symplectic Elements
Date Deposited : 03 Sep 2014 15:34
Last Modified : 05 Sep 2014 07:58

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