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3 - Hydrodynamic Flow Stability I: Linear Instability

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

In Chapter 2 we showed that flow disturbances can be decomposed into vorticity, entropy, and dilatational/acoustic fluctuations. The next two chapters focus on the evolution of vorticity in flows, and how vorticity in one region of the flow interacts with other regions of vorticity to influence hydrodynamic flow stability, leading to self-organization into concentrated regions of vorticity and flow rotation. Such large-scale structures, embedded on a background of acoustic waves and broadband, smaller-scale turbulence, dominate the unsteady flow fields in combustors. These large-scale structures play important roles in processes such as combustion instabilities, mixing and entrainment, flashback, and blowoff. For example, we will discuss vortex–flame interactions repeatedly in discussions of combustion instabilities in later chapters.

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Unsteady Combustor Physics , pp. 81 - 112
Publisher: Cambridge University Press
Print publication year: 2021

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