Application of dimensional analysis to investigate the dissolved oxygen increase using classical hydraulic jump

Dissolved oxygen is a key parameter to study the water quality. In this investigation the classical hydraulic jump as an aeration device was used to increase the dissolved oxygen. Experiments were performed for the Froude numbers in the range of 2 to 4.5 to study the phenomenon. A total of 240 data points were collected for different hydraulic conditions. Although the previous studies indicated that the aeration efficiency of the hydraulic jump should be considered as a function of the jump head loss, the experimental results of this study revealed that it depends also on other hydraulic and qualitative parameters. In this regard Buckingham analysis was used to find the effective parameters in the phenomenon of dissolved oxygen increase using classical hydraulic jump. The mathematical shape of the functional relationship was obtained using the incomplete self-similarity theory. In order to find the dissolved oxygen just after the hydraulic jump, the results of this study indicated that the mean absolute relative errors associated with the relationships proposed in this study and the one available in the literature were 9.09% and 24% respectively. Also the Root Mean Square Error values, RMSE, calculated for the method proposed in this study and that of available in the literature were 0.42 and 1 ppm respectively.