Abstract
Biochemical Oxygen Demand (BOD) modeling in a river involves derivation and solution of the governing partial differential equation, which describes concentration change with time and space due to convection, dispersion, decay and the loading function. In this study, an analytical model is developed for BOD simulation for the boundary condition when the waste discharge concentration can be described a sinusoidal variation. The analytical model is obtained by solving the governing partial differential equation considering (i) the river for which BOD is uniformly distributed through any cross-section so that a one dimensional model is applicable and (ii) for specific initial and boundary conditions. The results of the model for BOD simulation validated for (i) water quality data from River Gomti in India, which is an important tributary of Ganga River with significant influx of pollutants, and (ii) the data sets used for validation of commonly used analytical models and are available in the published literature. The proposed model is found to represent the physical processes occurring in River Gomti with high correlation between observed and simulated BOD values. Moreover, the results obtained from other data sets published in the literature demonstrate the applicability of developed analytical model for BOD simulation.
Published Version
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