Free decay of turbulence and breakdown of self-similarity
- 1 March 2000
- journal article
- research article
- Published by AIP Publishing in Physics of Fluids
- Vol. 12 (3) , 477-479
- https://doi.org/10.1063/1.870279
Abstract
It has been generally assumed, since the work of von Kármán and Howarth in 1938, that free decay of fully-developed turbulence is self-similar. Here we present a simple phenomenological model of the decay of three-dimensional incompressible turbulence, which predicts breakdown of self-similarity for low-wavenumber spectral exponents n in the range n c <n<4, where n c is some threshold wavenumber. Calculations with the eddy-damped quasi-normal Markovian approximation give the value as n c ≈3.45. The energy spectrum for this range of exponents develops two length-scales, separating three distinct wavenumber ranges.Keywords
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