Abstract
Free internal waves in a vertically nonuniform stratified flow are considered with account of the coefficients of horizontal turbulent transport. The dispersion equation and the wave decay rate are derived in the linear approximation. The vertical component of the Stokes drift velocity and the wave fluxes of heat and salt are determined in the second order of the wave amplitude. It is shown that it is the vertical component of the Stokes drift velocity which is nonzero, when turbulent viscosity and diffusion are taken into account, that mainly contribute to the wave transport. The wave flux of salt is greater than the turbulent flux. Taking the flow into account leads to a decrease in the vertical wave fluxes but the wave flux of salt remains greater than the turbulent flux.
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Original Russian Text © A.V. Nosova, A.A. Slepyshev, 2015, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2015, Vol. 50, No. 1, pp. 15–25.
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Nosova, A.V., Slepyshev, A.A. Vertical fluxes induced by weakly nonlinear internal waves on a shelf. Fluid Dyn 50, 12–21 (2015). https://doi.org/10.1134/S0015462815010020
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DOI: https://doi.org/10.1134/S0015462815010020