Experimental quantification of nonlinear time scales in inertial wave rotating turbulence

Ehud Yarom, Alon Salhov, Eran Sharon*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

We study nonlinearities of inertial waves in rotating turbulence. At small Rossby numbers the kinetic energy in the system is contained in helical inertial waves with time dependence amplitudes. In this regime the amplitude variations time scales are slow compared to wave periods, and the spectrum is concentrated along the dispersion relation of the waves. A nonlinear time scale was extracted from the width of the spectrum, which reflects the intensity of nonlinear wave interactions. This nonlinear time scale is found to be proportional to (U·k)-1, where k is the wave vector and U is the root-mean-square horizontal velocity, which is dominated by large scales. This correlation, which indicates the existence of turbulence in which inertial waves undergo weak nonlinear interactions, persists only for small Rossby numbers.

Original languageAmerican English
Article number122601
JournalPhysical Review Fluids
Volume2
Issue number12
DOIs
StatePublished - Dec 2017

Bibliographical note

Publisher Copyright:
© 2017 American Physical Society.

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