Abstract
The effect of the initial distribution of dispersant is investigated by obtaining solutions corresponding to different initial instantaneous point and plane source distributions. The governing equations are converted to a tractable system of moment equations which is solved by numerical methods with the aid of a digital computer for the zeroth, first, second, third, and fourth moment of the longitudinal concentration distribution. The initial instantaneous point source distribution is located at η 0 = 0, 0.25, 0.50, 0.75, and 1.0. During the initial period of dispersion, the convective transport produces a considerable change in the moments of the dispersing cloud as compared with the Gaussian long dispersion time behavior, and the longitudinal dispersion in a turbulent open-channel flow is strongly dependent on the location of the instantaneous point source.
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