A summary of reported studies on modeling hydraulic jump characteristics using experimental and numerical studies
| Approach . | Author(s)/year . | Parameter . | Objective of the study . | Conclusion remarks . |
|---|---|---|---|---|
| Experimental | Silvester (1964) | Lj | Estimating the hydraulic jump length (Lj) of horizontal channels | A semi-empirical solution was provided for the jump length |
| Experimental | Hughes & Flack (1984) | Lj, h2 | Investigating properties of the hydraulic jump over rough beds | It was concluded that bed roughness diminishes both the length and the depth of a hydraulic jump |
| Experimental | Hager et al. (1990) | Lr | Defining the length roller in the classical hydraulic jump (Lr) | Relations for design were proposed based on experiments conducted in three different channels |
| Experimental | Mohamed Ali (1991) | Lj | Analyzing the influence of stilling basins on the length of the jump | Providing a general formula for the length of jump on a rough bed |
| Numerical | Ma et al. (2001) | Lj, h2, Lr | Using k–ε turbulence model for numerical investigation of the characteristics of submerged hydraulic jumps | Providing information regarding the turbulent structure of the hydraulic jump |
| Experimental | Pagliara et al. (2008) | h2 | Investigation of the parameters that influence the sequent flow depths and modeling the length of the hydraulic jump | The experimental data were analyzed to extract a formulation of the correction coefficient based in the bed roughness |
| Experimental | Abbaspour et al. (2009) | Lj, h2 | Studying the hydraulic jump properties effected on corrugated beds | The results indicated that the length of the jump and the downstream flow depth on corrugated beds are smaller compared to the jumps on smooth bed |
| Experimental | Pagliara & Palermo (2015) | Lj, h2 | Studying the hydraulic jump characteristics in rough adverse-sloped channels | A semi-theoretical predictive relationship was proposed to estimate jump characteristics for a wide range of hydraulic and geometric conditions covering both rough and smooth beds |
| Numerical | Bayon et al. (2016) | Lr, h2 | Challenging the capability of two numerical models for simulating the hydraulic jump | Both numerical models gave promising results compared to the experimental observations |
| Experimental | Pourabdollah et al. (2019) | h2 | Experimental investigation of hydraulic jump characteristics on various beds, slopes, and step heights | In addition to presenting the observed values, two analytical solutions were also developed based on the momentum equation |
| Numerical | Gu et al. (2019) | Lj, h2 | Using the SPH (smoothed particle hydrodynamics) meshless method to simulate the hydraulic jump on corrugated beds | Numerical simulations were accurate in modeling different hydraulic aspects of the hydraulic jumps |
| Approach . | Author(s)/year . | Parameter . | Objective of the study . | Conclusion remarks . |
|---|---|---|---|---|
| Experimental | Silvester (1964) | Lj | Estimating the hydraulic jump length (Lj) of horizontal channels | A semi-empirical solution was provided for the jump length |
| Experimental | Hughes & Flack (1984) | Lj, h2 | Investigating properties of the hydraulic jump over rough beds | It was concluded that bed roughness diminishes both the length and the depth of a hydraulic jump |
| Experimental | Hager et al. (1990) | Lr | Defining the length roller in the classical hydraulic jump (Lr) | Relations for design were proposed based on experiments conducted in three different channels |
| Experimental | Mohamed Ali (1991) | Lj | Analyzing the influence of stilling basins on the length of the jump | Providing a general formula for the length of jump on a rough bed |
| Numerical | Ma et al. (2001) | Lj, h2, Lr | Using k–ε turbulence model for numerical investigation of the characteristics of submerged hydraulic jumps | Providing information regarding the turbulent structure of the hydraulic jump |
| Experimental | Pagliara et al. (2008) | h2 | Investigation of the parameters that influence the sequent flow depths and modeling the length of the hydraulic jump | The experimental data were analyzed to extract a formulation of the correction coefficient based in the bed roughness |
| Experimental | Abbaspour et al. (2009) | Lj, h2 | Studying the hydraulic jump properties effected on corrugated beds | The results indicated that the length of the jump and the downstream flow depth on corrugated beds are smaller compared to the jumps on smooth bed |
| Experimental | Pagliara & Palermo (2015) | Lj, h2 | Studying the hydraulic jump characteristics in rough adverse-sloped channels | A semi-theoretical predictive relationship was proposed to estimate jump characteristics for a wide range of hydraulic and geometric conditions covering both rough and smooth beds |
| Numerical | Bayon et al. (2016) | Lr, h2 | Challenging the capability of two numerical models for simulating the hydraulic jump | Both numerical models gave promising results compared to the experimental observations |
| Experimental | Pourabdollah et al. (2019) | h2 | Experimental investigation of hydraulic jump characteristics on various beds, slopes, and step heights | In addition to presenting the observed values, two analytical solutions were also developed based on the momentum equation |
| Numerical | Gu et al. (2019) | Lj, h2 | Using the SPH (smoothed particle hydrodynamics) meshless method to simulate the hydraulic jump on corrugated beds | Numerical simulations were accurate in modeling different hydraulic aspects of the hydraulic jumps |