Memory effects in the motion of a suspended particle in a turbulent fluid

M. Gitterman, V. Steinberg

Research output: Contribution to journalArticlepeer-review

22 Scopus citations

Abstract

The noninstantaneous behavior of the velocity correlation function for a turbulent fluid leads to memory effects in the equation of motion of a particle suspended in such a fluid. This effect is a direct consequence of the fluctuation-dissipation theorem, which connects the correlation properties of the random force with a memory function. As a result, the equation of motion of a suspended particle in a turbulent flow is an integro-differential rather than a differential equation, and the diffusion coefficient of a suspended particle and that of a fluid do not coincide even in the simplest model. The velocity correlation function of a particle and its diffusion coefficient are found for a simple model.

Original languageEnglish
Pages (from-to)2154-2160
Number of pages7
JournalPhysics of Fluids
Volume23
Issue number11
DOIs
StatePublished - 1980

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