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2 - Decomposition and Evolution of Disturbances

Published online by Cambridge University Press:  27 October 2021

Tim C. Lieuwen
Tim C. Lieuwen
Affiliation:
Georgia Institute of Technology
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Summary

A key focus of this text is to relate the manner in which fluctuations in flow or thermodynamic variables propagate and interact in combustion systems. In this chapter, we demonstrate that combustor disturbances can be decomposed into three canonical types of fluctuations – acoustic, entropy, and vorticity disturbances. This decomposition is highly illustrative in understanding the spatial/temporal dynamics of combustor disturbances [1]. For example, the velocity field can be decomposed into acoustic fluctuations, which propagate at the speed of sound with respect to the flow, and vorticity fluctuations, which are advected by the flow. This decomposition is important because, as shown in Chapters 11 and 12, two velocity disturbances of the same magnitude can lead to very different influences on the flame, depending on their phase speeds and space–time correlation. Section 2.9 further emphasizes how this decomposition provides insight into behavior measured in a harmonically oscillating flow field.

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Unsteady Combustor Physics , pp. 27 - 80
Publisher: Cambridge University Press
Print publication year: 2021

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