Analytical Solution for 3-D Diffusion Model

by Edward Y.T. Kuo, Principal Environmental Engineer; Envirosphere/EBASCO, New York, N.Y.,

Serial Information: Journal of the Environmental Engineering Division, 1976, Vol. 102, Issue 4, Pg. 805-820

Document Type: Journal Paper


In a constant parameter river, analytical solutions to transient three-dimensional diffusion problems are presented. Diffusions for both dye and heat are examined for continuous and instantaneous releases. An application of the solution to a dye data analysis is described. The results indicate the general agreement between the data and the theoretical prediction despite the many simplifying assumptions made to obtain the analytical solution.

Subject Headings: Three-dimensional models | Three-dimensional analysis | Diffusion | Dyes | Parameters (statistics) | Rivers and streams | Transient response | Agreements and treaties

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