Transport Processes Induced by Weakly Nonlinear
Internal Waves in the Presence of Turbulence

A. A. Slepyshev

Marine Hydrophysical Institute, National Academy of Sciences of Ukraine, ul. Kapitanskaya 2, Sevastopol, 335005 Ukraine

Received February 2, 1995; in final form, August 7, 1995

Abstract—The method of asymptotic multiscale expansions is used to determine the mean (over the wave time
scale) flow velocity and density fields induced by a wave packet. The correlation between wave perturbations
of density and vertical velocity is different from zero in the presence of turbulent viscosity and diffusion. The
vertical Stokes drift velocity is also different from zero and can contribute significantly to the vertical transport
of heat and salt. The wave buoyancy flux due to heat transport is usually less than that due to salt transport. With
a decreased wave period or an increased mode number, the wave fluxes increase and can be comparable to or
greater than the turbulent fluxes.

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