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- W4384936172 abstract "Abstract A self-sustaining process (SSP) is a series of interactions by which distinguishable flow structures known as rolls and streaks, which would otherwise decay due to the action of viscosity, are maintained by extracting energy from wave disturbances. In turn, the waves are themselves supported by the very structure they help to preserve. For moderate to high Reynolds numbers, these equilibrium solutions correspond to certain coherent states visited by turbulent flows. We investigate the mathematical nature of these states at both finite Reynolds number, and at asymptotically large Reynolds number where it is often referred to as a vortex-wave interaction (VWI). Here the process can be given a rigorous mathematical foundation, with the roll and streak described by a system of nonlinear three-dimensional partial differential equations, and the wave satisfying a nonlinear eigen-value problem. In a particular class of these interactions, the critical layer plays a vital role in the process." @default.
- W4384936172 created "2023-07-22" @default.
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- W4384936172 date "2023-07-03" @default.
- W4384936172 modified "2023-10-14" @default.
- W4384936172 title "Coherent Structures and Self-Sustaining Processes in Shear Flows" @default.
- W4384936172 cites W2315010889 @default.
- W4384936172 doi "https://doi.org/10.1093/oso/9780198869948.003.0006" @default.
- W4384936172 hasPublicationYear "2023" @default.
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