We consider the evolution of a passive scalar (concentration of pollutants or temperature) in a chaotic (turbulent) flow. A universal asymptotic behavior of the passive scalar decay (homogenization) related to peripheral regions (near walls) is established. The passive scalar moments and their pair correlation function in the peripheral region are analyzed. A special case investigated in our paper is the passive scalar decay along a pipe.
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Лебедев et al. (2004) studied this question.
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