DIMENSIONAL ANALYSIS DESIGN MODEL OF BIOCHEMICAL OXYGEN DEMAND IN INTEGRATED SOLAR AND HYDRAULIC JUMP ENHANCED WASTE STABILIZATION POND

A dimensional analysis design model for the prediction of biochemical oxygen demand (BOD) in the integrated solar and hydraulic jump enhanced waste stabilization pond (ISHJEWSP) was derived using the Buckingham’s π-theorem approach. The concentration of effluent BOD was derived as a function of the influent concentration of BOD, intensity of solar radiation, influent algae concentration, inlet velocity, density of wastewater, characteristic length of the pond, detention time, dispersion coefficient and dissolved oxygen. The model was calibrated with the first 54 data set and due to paucity of empirical literatures, was verified with the remaining 54 data set obtained from the experimental ISHJEWSP. The verification of the model gave a good coefficient of correlation of R = 0.864 between the measured and calculated concentration of effluent BOD at a significance level of 0.05. The regressed slope, intercept and standard error obtained were 0.938, 5.564 and 8.162 respectively. The coefficient of determination (R squared) showed that 74.68% of the variation of the experimental results is explained by the developed model. Therefore, the prediction of BOD concentration in the ISHJEWSP would be possible from the developed model.