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On the convection of a passive scalar by a turbulent Gaussian velocity field

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Abstract

Through the use of the Novikov-Furutsu formula for Gaussian processes an equation is obtained for the diffusion of the ensemble average of a passive scalar in an incompressible turbulent velocity field in terms of the two-point, two-time correlator of this field. The equation is valid for turbulence which is not necessarily homogeneous or stationary and thus generalizes previous work.

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Author notes

  1. T. C. Lipscombe

    Present address: Physical Review B, 1 Research Road, 11961, Ridge, New York

  2. A. L. Frenkel

    Present address: Department of Mathematics, University of Alabama, 35487, Tuscaloosa, Alabama

  3. D. ter Haar

    Present address: , P. O. Box 10, GU28 ORY, Petworth, West Sussex, Great Britain

Authors and Affiliations

  1. B. Levich Institute for Physicochemical Hydrodynamics, City College, 10031, New York, New York

    T. C. Lipscombe & A. L. Frenkel

  2. Department of Theoretical Physics, Oxford University, OX1 3NP, Oxford, Great Britain

    T. C. Lipscombe & D. ter Haar

Authors
  1. T. C. Lipscombe
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  2. A. L. Frenkel
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  3. D. ter Haar
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Lipscombe, T.C., Frenkel, A.L. & ter Haar, D. On the convection of a passive scalar by a turbulent Gaussian velocity field. J Stat Phys 63, 305–313 (1991). https://doi.org/10.1007/BF01026606

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  • DOI: https://doi.org/10.1007/BF01026606

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