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<p>In the present numerical simulations, using the Large Eddy Simulation turbulence model and Volume of Fluid for modelling free surface, the relationship between pressure and velocity (<i>V</i><sub><i>x</i></sub>, <i>V</i><sub><i>y,</i></sub> and <i>V</i><sub><i>z</i></sub>) fluctuations through free hydraulic jumps was analysed. Types I and II stilling basins were considered with inlet Froude numbers (Fr) of 2.16 and 7.63, respectively. Numerical results at the central axis of the stilling basins were compared with experimental data. Deviation values of pressure average (<i>P</i><sub><i>ave</i></sub>), minimum pressure (<i>P</i><sub><i>min</i></sub>), and maximum pressure (<i>P</i><sub><i>max</i></sub>) for Types I and II stilling basins were 5.43%, 7.08%, 7.40%, and 10.23%, 13.47%, 15.72%, respectively. Results indicated that the maximum reverse correlation existed between <i>V</i><sub><i>x</i></sub> compared to <i>V</i><sub><i>y</i></sub> and <i>V</i><sub><i>z</i></sub> with <i>P</i> equal to −&#xa0;0.62 and −&#xa0;0.74 for stilling basins Types I and II, respectively. An analysis of the time series of the cavitation index (σ) revealed that the computed <i>σ</i> occasionally dropped below the critical value, indicating a potential for cavitation occurrence in the stilling basin Type II. Finally, the Power Spectral Density was conducted to analyze pressure fluctuation data.</p>

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Numerical study of the correlation between pressure and velocity fluctuations in stilling basins of types I and II

  • 期刊论文

  • 发表日期：

    2025年4月15日

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  • Mehrshad Samadi,
  • Hamed Sarkardeh,
  • Ebrahim Jabbari,
  • Mina Torabi

摘要

In the present numerical simulations, using the Large Eddy Simulation turbulence model and Volume of Fluid for modelling free surface, the relationship between pressure and velocity (Vx, Vy, and Vz) fluctuations through free hydraulic jumps was analysed. Types I and II stilling basins were considered with inlet Froude numbers (Fr) of 2.16 and 7.63, respectively. Numerical results at the central axis of the stilling basins were compared with experimental data. Deviation values of pressure average (Pave), minimum pressure (Pmin), and maximum pressure (Pmax) for Types I and II stilling basins were 5.43%, 7.08%, 7.40%, and 10.23%, 13.47%, 15.72%, respectively. Results indicated that the maximum reverse correlation existed between Vx compared to Vy and Vz with P equal to − 0.62 and − 0.74 for stilling basins Types I and II, respectively. An analysis of the time series of the cavitation index (σ) revealed that the computed σ occasionally dropped below the critical value, indicating a potential for cavitation occurrence in the stilling basin Type II. Finally, the Power Spectral Density was conducted to analyze pressure fluctuation data.