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The diffusion of scalar and vector fields by homogeneous stationary turbulence

Published online by Cambridge University Press:  12 April 2006

Edgar Knobloch
Edgar Knobloch
Affiliation:
Harvard College Observatory, 60 Garden Street, Cambridge, Massachusetts 02138
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Abstract

An exact Eulerian formulation of the problem of diffusion of passive scalar and vector fields by a turbulent velocity field is obtained. It is shown that, in the short autocorrelation time limit, the diffusion equation is exact for any turbulence. For non-zero autocorrelation times the form of the first few correction terms to the diffusion equation is found. As a result of these corrections the diffusion of scalar, divergence-free and curl-free vector fields will be different. The calculations use the Kubo–Van Kampen–Terwiel technique and are carried out for zero ordinary diffusivity and for homogeneous, stationary, isotropic, incompressible, helical turbulence.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 83 , Issue 1 , 1 November 1977 , pp. 129 - 140
Copyright
© 1977 Cambridge University Press

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