Scaling Exponents of Strong Turbulence in the Eddy Viscosity Approximation

Details Scaling Exponents of Strong Turbulence in the Eddy Viscosity Approximation Scaling Exponents of Strong Turbulence in the Eddy Viscosity Approximation

1996-07-20

arxiv.org/abs/chao-dyn/9607012v1

Nonlinear Sciences

Chaotic Dynamics

10 pages, LaTeX type, submitted to PRE

Scientific paper

A dynamic equation for velocity structure functions $S_{n}(r) =
<(u(x)-u(x'))^{n}>$ in strong turbulence is derived in the one-loop (eddy
viscosity) approximation. This homogemeous differential equation yields
scaling exponents $\xi_{n}$ in the relations $S_{n}(r)\propto r^{\xi_{n}}$
which are in a very good agreement with experimental data.

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