FIZIKA B 1 (1992) 1, 7-31

A NEW APPROACH TO THE PROBLEM OF TRANSPORT IN AQUATIC ECOSYSTEMS

NEDŽAD LIMIĆ
Ruđer Bošković Institute, POB 1016, 41001 Zagreb, Croatia

Received 14 October 1991

 

So far the conventional diffusion equation has been practically the only model for the description of transport of substances in the sea or lake. The most serious drawbacks of this model are: (a) the infinite velocity of spreading of substance from a source and b) neglect of non-zero time correlations between velocity fluctuations. In this paper, a class of transport models is derived for which velocity of spreading is finite. In addition, a complete covariance function of velocity fluctuations is incorporated. New transport models are derived starting from the mass balance equation with stochastic velocity fields. Derivations of the new models are exact (without truncations). Finally, certain simplified versions are proposed for applications.

UDC 530.19
Copyright by The Croatian Physical Society
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