Towards a dynamical theory of multifractals in turbulence

Victor Yakhot and K.R. Sreenivasan

Physica A: Statistical Mechanics and its Applications, 2004, vol. 343, issue C, 147-155

Abstract: Making use of the exact equations for structure functions, supplemented by the equations for dissipative anomaly as well as an estimate for the Lagrangian acceleration of fluid particles, we obtain a main result of the multifractal theory of turbulence. The central element of the theory is a dissipation cut-off that depends on the order of the structure function. An expression obtained for the exponents sn in the scaling relations∂u∂xn¯∂u∂x2n/2¯∝Resn,between the velocity gradients ∂u/∂x and the Reynolds number Re, agrees well with experimental data.

Keywords: Turbulence; Dynamical systems (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:343:y:2004:i:c:p:147-155

DOI: 10.1016/j.physa.2004.07.037

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