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On the diffusion of passive impurities in random flows

Author

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  • Chechetkin, V.R.
  • Lutovinov, V.S.
  • Samokhin, A.A.

Abstract

The theory with high-order velocity cumulants (non-Gaussian statistics) for the problem of turbulent diffusion is considered. The higher velocity cumulants play an important role in the case of Kolmogorov turbulence and are of fundamental interest in the problem of the turbulent dynamo. In the reduced quasi-Gaussian approximation our results are compared with those obtained by the other authors. Both one-and two-particle turbulent transports are discussed. We give the estimate of the Obukhov-Corrsin constant for the stationary structure function of concentration fluctuations. It is also shown that for Komogorov turbulence the negative correction to purely convective transport for the one-particle turbulent diffusion at short times has an exponent equal to 83 rather than 3, as has been suggested earlier.

Suggested Citation

  • Chechetkin, V.R. & Lutovinov, V.S. & Samokhin, A.A., 1991. "On the diffusion of passive impurities in random flows," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 175(1), pages 87-113.
    • Handle: RePEc:eee:phsmap:v:175:y:1991:i:1:p:87-113
    DOI: 10.1016/0378-4371(91)90270-M
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    References listed on IDEAS

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    1. Rodríguez, R.F. & Van Kampen, N.G., 1976. "Systematic treatment of fluctuations in a nonlinear oscillator," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 85(2), pages 347-362.
    2. Chechetkin, V.R. & Lutovinov, V.S., 1987. "Dynamics of dilute spin systems in random fluctuating magnetic fields," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 145(3), pages 498-532.
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