Abstract
If the vertically-mixing time is comparable with that of period oscillatory current, the contaminant contraction may occur. The coefficient of shear dispersion is negative (singularity). According to the two-dimensional delay-diffusion equation derived by the author[7]:
where\(\bar u\left( t \right),\bar v\left( t \right)\) are vertically-averaged velocities, the equations for X(t), Y(t), central displacement, dispersion tensor, had been derived. ∂Dij/∂τ is positive when τ is small. If the τ is large, the memory functions may be negative. Also the expressions for Dij and X, Y had been obtained.
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Project supported by National Natural Science Fundation of China
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Yu-lu, L., Shu-tang, T. Contaminant contraction in two-dimensional oscillatory flows. Appl Math Mech 14, 1003–1012 (1993). https://doi.org/10.1007/BF02476548
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DOI: https://doi.org/10.1007/BF02476548