Tennekes' 1975 sweeping picture: eddy correlation time scales as 1/(Uk)

jo_brandstetter · x · 2026-10-26

Explaining temporal correlations in turbulence: while the energy spectrum describes spatial scales, how fast does the field change at each scale? Tennekes showed in 1975 that large motions sweep small eddies past an observer before the eddies themselves break up; when sweeping dominates, correlation time scales roughly as 1/(Uk). The thread also notes that at the smallest scales, little energy can hide massive velocity differences over tiny distances, with sharp gradients driving intense local rotation and concentrating rare extremes into thin structures.

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