Abstract
The theory of transport of passive scalars in oscillatory flows is
reexamined. The differences between transport in standing and traveling
waves are emphasized. Both Lagrangian and Eulerian diffusivities
are calculated, and the conditions for their applicability are discussed.
Numerical simulations are conducted to understand the expulsion of
gradients from time-dependent eddies and the resulting transport.
The results indicate that it is the Eulerian diffusivity that is
of primary relevance for describing enhanced transport on spatial
scales larger than that of the eddies.
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