Intermittent dissipation of a passive scalar in turbulence

Details Intermittent dissipation of a passive scalar in turbulence Intermittent dissipation of a passive scalar in turbulence

1997-09-02

arxiv.org/abs/chao-dyn/9709005v1

Physics

Condensed Matter

4 pages, RevTeX 3.0, Submitted to Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.80.2121

Probability density function (PDF) of passive scalar dissipation ${\cal P} (\epsilon)$ is found analytically in the limit of large Peclet and Prandtl numbers (Batchelor-Kraichnan regime) in two dimensions. The tail of PDF at $\epsilon\gg<\epsilon>$ is shown to be stretched exponent $\ln{\cal P}(\epsilon)\propto\epsilon^{1/3}$. At $\epsilon\ll<\epsilon>$, ${\cal P}\propto 1/\sqrt{\epsilon}$.

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