Probability distribution of a passive scalar: A soluble example

I. Goldhirsch, A. Yakhot

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


The probability distribution, in space, of a passive scalar advected by a model, divergence-free, velocity field is analytically calculated. It is found to have a logarithmic singularity at the origin and a quasi-Gaussian decay away from it. The significance of this result for the general case of convection of passive scalars and the relation to a recent theory of Yakhot and Sinai [Phys. Rev. Lett. 63, 1962 (1989)] are discussed.

Original languageEnglish
Pages (from-to)1303-1305
Number of pages3
JournalPhysics of fluids. A, Fluid dynamics
Issue number8
StatePublished - 1 Jan 1990

ASJC Scopus subject areas

  • General Engineering


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