Volume 10 Issue 2 ( June 2023 )

Pages_942-952

Prediction of Depth Ratio, Jump Length and Energy Loss in Sloped Channel Hydraulic Jump for Environmental Sustainability

Sanjeev Kumar Gupta, Vijay Kumar Dwivedi

[ABSTRACT ]

The association of enormous amounts of energy proximate to hydraulic structures, like spillways, downstream of draft tubes, etc., which might be harmful to environment, has prompted the researcher to consider this occurrence to dissipate this excess energy. Due to natural occurrence, hydraulic jump unavoidably reduces incoming flow energy. Most of the researchers considered hydraulic jump characteristics to be the function of inflow Froude number but in this research, the effects of incoming Reynolds number (Re1) is introduced first time in a sloped channel jump and all the correlation are formed while taking into account the influence of Re1, inflow Froude number (Fr1) and Channel slope (θ). The experiment was performed in the sloped channel (00,20,40 and 60) in an open channel flow test setup and eight experiments are designed and performed and collected 57 data for each channel slope. Regression analysis was utilised after using Buckingham's theorem to make all the variables dimensionless to generate correlations. Moreover, error analysis was carried out, and all created correlations were compared to correlations that had already been developed. The depth ratio (d2/d1) increases by 34.85%, relative length (Lj/d1) decreases by 18.91% and energy loss (EL/E1) increases by 63.62% for 60 channel slope as compared to the classical jump. The R2 value of developed correlation for d2/d1, Lj/d1, Lj/d1(in terms of d1/d2) and EL/E1 was 0.98, 0.975, 0.98 and 0.99 respectively which shows the efficacy of the entire developed model.

Keywords: Energy dissipation; Sloped channel; Froude number; Reynolds number; Hydraulic jump, Environmental sustainability