[en] An accidental release of a quantity of radioactive material took place from the Browns Ferry Nuclear Plant RHRS into Wheeler Reservoir from 1945 CST on January 4, 1977, until 0200 CST on January 5. The Water Systems Development Branch was requested to predict both the location of the effluent patch as it progressed down Wheeler Reservoir and the concentration distribution within the patch. Of particular interest were the time of arrival and concentrations expected at the nearest downstream public water supply, located on the left bank at TRM 282.2. Preliminary calculations indicated that a two-dimensional (horizontal plane), unsteady model was required to adequately model the diffusion and advection processes. A Gaussian Puff type model was developed for this purpose, employing the existing TVA Simulated Open Channel Hydraulic Model for the calculation of the unsteady reservoir flows. Major results from this model were as follows: (1) the effluent patch was predicted to reach the nearest downstream public water supply at 1800 CST on January 6, approximately 46 hours after the start of the release; (2) the maximum radionuclide concentration in the reservoir at this time was predicted to be approximately 10^-4 of the initial concentration; this would occur at the right bank; and because of the relatively slow transverse mixing, it was predicted that, for practical purposes, the effluent would not have reached the left bank by the time it reached TRM 282.2. In addition, hourly predictions for the location of the effluent patch were made. It was felt that the concentration predictions were somewhat conservative, but were realistic. The model presented in this report is applicable to any passive species and will be further refined to provide more accurate mixing estimates in future applications