Analytical Study of Longitudinal Mass Flux Due to the Shear Effect in a Tidal Basin |
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| Authors: | Hidekazu Yasuda |
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| Institution: | (1) Department of Fisheries Information and Management, National Fisheries University, Nagata-Honmachi, Shimonoseki, Yamaguchi 759-6595, Japan |
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| Abstract: | The fundamental nature of the mass flux due to the shear effect is examined analytically in a basin with steady and oscillatory
currents to promote a better understanding of the mass transport process in coastal waters. The currents are given from solutions
of the simplified motion equation so as to be consistent with the diffusion equation. The matter concentration used is given
by an analytical solution of the diffusion equation with the settling flux term contained. Mass flux, yielding the depth-averaged
dispersion coefficient, is rather varied vertically in both steady and oscillatory currents. In the oscillatory current with
a Stokes layer in particular, the vertical profile of flux is more complicated and even negative flux is induced near the
basin floor. This negative flux does not necessarily yield a negative value of the vertically averaged dispersion coefficient.
The exact dispersion coefficient given by the flux analysis is realized only in the steady state of the matter concentration
distribution, though we can scarcely observe the steady state in the actual sea. The vertically uniform longitudinal dispersion
coefficient at the stationary stage is shown to be caused from the vertical complexity of mass flux by the action of the vertical
diffusing and the settling flux.
This revised version was published online in July 2006 with corrections to the Cover Date. |
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| Keywords: | Longitudinal matter dispersion mass flux in a tidal basin matter with settling velocity negative flux |
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