A model of the mean field distribution of a dissolved substance within the riverine layer of a fjord lake

The time‐averaged distribution of a conservative and passive contaminant in the neighborhood of a junction of two branches of a generalized fjord system is considered. Analytical solutions to the steady advection‐diffusion equations are obtained by the methods of Schwartz‐Christoflel, Boussinesq, an...

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Bibliographic Details
Published in:Water resources research 1980-12, Vol.16 (6), p.1094-1098
Main Authors: Hamblin, Paul F., Carmack, Eddy C.
Format: Article
Language:English
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Summary:The time‐averaged distribution of a conservative and passive contaminant in the neighborhood of a junction of two branches of a generalized fjord system is considered. Analytical solutions to the steady advection‐diffusion equations are obtained by the methods of Schwartz‐Christoflel, Boussinesq, and Wiener‐Hopf. A feature of this approach is that it accounts for the anisotropy of the dispersion coefficients in the direction of the streamlines. Solutions are applied to horizontal diffusion in the riverine layer of a fjord lake, and a horizontal dispersion coefficient of 300 m2/s is deduced from matching the predictions to the horizontal distribution of vertically averaged conductivity over the riverine layer. Following Taylor's method, we infer a vertical turbulent diffusivity of 5 × 10−6 m2/s for the riverine layer.
ISSN:0043-1397
1944-7973
DOI:10.1029/WR016i006p01094