Physics
Scientific paper
May 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983rpph...46..621m&link_type=abstract
Reports on Progress in Physics (ISSN 0034-4885), vol. 46, May 1983, p. 621-623, 625-664.
Physics
107
Convective Flow, Coriolis Effect, Dynamo Theory, Field Theory (Physics), Transport Theory, Turbulent Flow, Heat Flux, Reynolds Number, Rotating Fluids, Scalars, Statistical Analysis, Temperature Distribution, Turbulent Diffusion
Scientific paper
The action of turbulence on a passive convected scalar field or vector field is reviewed, emphasizing anomalous effects that can arise through the influence of Coriolis forces in a rotating system on the statistics of the turbulence. The mean field approach is presented for the scalar field problem, and the general theory of eddy diffusivity and skew diffusivity is developed. The Langrangian approach and the first-order smoothing approach are addressed, and the corresponding theory for the vector field is described, showing how the general theory of flux expulsion emerges naturally from the mean-field approach. The double length scale approach is extended to incorporate many length scales, leading to equations which are invariant in form and which permit the evaluation of the dynamo coefficient and the turbulent diffusivity in the limit of large magnetic Reynolds number. Finally, a model problem is analyzed, showing how an intermittent structure can develop in a passive convected field.
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