An analytical solution for the local suspended sediment concentration profile in tidal sea region |
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| Authors: | Kyung Tae Jung Jae Youll Jin Hyoun-Woo Kang Ho Jin Lee |
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| Institution: | aKorea Ocean Research and Development Institute, Sa-dong, Ansan, South Korea 425-600;bKorea Maritime University, Yongdo-ku, Pusan, South Korea 606-791 |
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| Abstract: | The time-averaged and oscillatory solutions of the one-dimensional vertical (1DV) advection–diffusion equation for the suspended sediment have been derived analytically in a tidal sea region of finite water depth. The basic equation assumes constant eddy diffusivity and settling velocity. No net flux condition is set at the sea surface, while a boundary condition with the erosion rate and depositional velocity is prescribed at the sea bottom. The time-averaged solution has been derived in a straightforward manner, while the advection–diffusion equation governing the oscillatory concentration has been first transformed to a simple diffusion equation and then solved using the Galerkin-eigenfunction method. The former is given in a closed form, while the latter is presented in a series solution.A set of calculations has been performed to examine the change in the vertical structure as well as magnitude of the concentration response function. A possible use of the solution to make an estimate of the erosion rate at the sea bottom based on the concentration information at the sea surface is discussed. |
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| Keywords: | advection– diffusion equation analytical solution eigenfunction Galerkin method settling velocity suspended sediment |
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