2004/06/17 by Victor Yakhot, Yakhot, Victor, K. R. Sreenivasan +1 · 2 citations
Economics, Econometrics and Finance · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #Complex Systems and Time Series Analysis #FOS: Physical sciences #nlin.CD
paper · pdf · doi:10.48550/arxiv.nlin/0406037
submitted to PRL on February 11, 2004
arxiv created 2004/06/17 · openalex publication_date 2004/06/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Making use of the exact equations for structure functions, supplemented by the equations for dissipa tive 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)/(∂ x))n/((∂ u)/(∂ x))2(n)/(2) ∝ Re^sn, between the velocity gradients (∂ u)/(∂ x) and the Reynolds number Re, agrees well with experimental data.