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Amplitude statistics prediction in thermoacoustics

Published online by Cambridge University Press:  04 April 2018

G. Ghirardo Open the ORCID record for G. Ghirardo [Opens in a new window] ,
F. Boudy  and
M. R. Bothien
G. Ghirardo*
Affiliation:
Ansaldo Energia Switzerland, 36 Römerstrasse, Baden, 5400 CH, Switzerland
F. Boudy
Affiliation:
Ansaldo Energia Switzerland, 36 Römerstrasse, Baden, 5400 CH, Switzerland
M. R. Bothien
Affiliation:
Ansaldo Energia Switzerland, 36 Römerstrasse, Baden, 5400 CH, Switzerland
*
†Email address for correspondence: giulio.ghirardo@ansaldoenergia.com
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Abstract

We discuss the statistics of acoustic pressure of thermoacoustic oscillations, either axial or azimuthal in nature. We derive a model where the describing functions of the fluctuating heat release rate of the flame and of the acoustic losses appear directly in the equations. The background combustion noise is assumed to be additive, and we show how one can recover, from the measurement of the acoustic pressure at the flame location, the projected describing function of the flame minus the acoustic losses. Using the same equations, one can predict the statistics of the amplitude of acoustic pressure for a certain system. The theory is then tested on an azimuthal thermoacoustic instability in an industrial annular combustor by measuring the state of the system, predicting the acoustic pressure amplitude statistics after a design change and comparing the prediction with the measured statistics after the design change has been implemented.

JFM classification

Nonlinear Dynamical Systems: Low-dimensional models Acoustics: Noise control Nonlinear Dynamical Systems: Nonlinear Dynamical Systems
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 844 , 10 June 2018 , pp. 216 - 246
Copyright
© 2018 Cambridge University Press 

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