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Integrodifferential equation for passive scalar diffusion in nonuniform random velocity fields

 

作者: M. L. Thiebaux,  

 

期刊: Physics of Fluids(00319171)  (AIP Available online 1973)
卷期: Volume 16, issue 9  

页码: 1395-1402

 

ISSN:0031-9171

 

年代: 1973

 

DOI:10.1063/1.1694531

 

出版商: AIP

 

数据来源: AIP

 

摘要:

The time evolution integrodifferential equation for the ensemble mean of an advected passive scalar is derived for a general ensemble of compressible flows. Eulerian one‐point,n‐time velocity correlation functions and their spatial derivatives are required in the equation. The equation is applied to a case for which an exact solution is already known, and the validity of certain formal operator manipulations is demonstrated. A simple closure is discussed and the results are compared with other established results. Suggestions for further studies are made.

 

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