Turbulence Statistical Characteristics and Energy Dissipation Rate Analysis of Vertical Jet Energy Dissipators
The energy dissipation of hydraulic structures is crucial to the overall safety and stability of hydraulic engineering projects. In order to isolate energy dissipators from hydraulic engineering projects and address the issues of vibration damage caused by the discharge structures, a new type of ver...
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MDPI AG
2025-03-01
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| author | Haijun Ma Xihuan Sun Yongye Li |
| author_facet | Haijun Ma Xihuan Sun Yongye Li |
| author_sort | Haijun Ma |
| collection | DOAJ |
| description | The energy dissipation of hydraulic structures is crucial to the overall safety and stability of hydraulic engineering projects. In order to isolate energy dissipators from hydraulic engineering projects and address the issues of vibration damage caused by the discharge structures, a new type of vertical jet energy dissipator was developed by placing crushing needles at the nozzle of the vertical jet pipeline. The crushing needles were mainly used to break the high-energy jet into several smaller jets. As the air is mixed with the water flow, the mechanical energy of the water flow is converted into internal energy and dissipated in the air. The structural parameters of the vertical jet energy dissipators include the size and number of crushing needles. In this paper, the first-order and second-order statistical characteristics and energy dissipation rate of vertical jet energy dissipators under different structural parameters are studied by means of numerical simulation and a physical model test. The results show that, within the scope of this study, the energy dissipation rate of a vertical jet increases with the increase in Reynolds number, the number of crushing needles, and the size of crushing needles; and the energy dissipation rate of the vertical jet increases by 1.04 to 4.89 times compared with that without crushing needles. Under the same Reynolds number, the height of the jet decreases with the increase in the number of crushing needles and the size of the crushing needles. With the vertical development of the flow, the vertical average velocity of the vertical jet energy dissipator is getting smaller and smaller. Adding crushing needles will hinder the upward diffusion of the jet, reduce the height of the jet, and accelerate the attenuation of the jet velocity. As a statistic result regarding the fluid stress, the Reynolds stress along the axis shows a slow upward trend at the potential core, soars at the shear layer, and finally decreases at the end of the jet. The flow has a higher convective transportation intensity in the lateral direction than in other directions. The addition of crushing needles can, to some extent, affect the fluid transport in that area, thereby altering the pressure in the region and dissipating the mechanical energy of the flow-induced vibrations when the jet impacts the crushing needles. The vertical jet-type energy dissipator proposed in this study addresses key engineering challenges, such as terrain constraints and the need for flexible design solutions. Its ability to efficiently dissipate energy while maintaining adaptability makes it a valuable tool for hydraulic engineers designing energy dissipation systems. The conclusions of this study provide a theoretical basis for the application of vertical jet energy dissipators. |
| format | Article |
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| institution | OA Journals |
| issn | 2076-3417 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | MDPI AG |
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| series | Applied Sciences |
| spelling | doaj-art-973e0117a0eb4ab19c535b60ab27296a2025-08-20T02:09:11ZengMDPI AGApplied Sciences2076-34172025-03-01157356010.3390/app15073560Turbulence Statistical Characteristics and Energy Dissipation Rate Analysis of Vertical Jet Energy DissipatorsHaijun Ma0Xihuan Sun1Yongye Li2College of Water Resources Science and Engineering, Taiyuan University of Technology, Taiyuan 030024, ChinaCollege of Water Resources Science and Engineering, Taiyuan University of Technology, Taiyuan 030024, ChinaCollege of Water Resources Science and Engineering, Taiyuan University of Technology, Taiyuan 030024, ChinaThe energy dissipation of hydraulic structures is crucial to the overall safety and stability of hydraulic engineering projects. In order to isolate energy dissipators from hydraulic engineering projects and address the issues of vibration damage caused by the discharge structures, a new type of vertical jet energy dissipator was developed by placing crushing needles at the nozzle of the vertical jet pipeline. The crushing needles were mainly used to break the high-energy jet into several smaller jets. As the air is mixed with the water flow, the mechanical energy of the water flow is converted into internal energy and dissipated in the air. The structural parameters of the vertical jet energy dissipators include the size and number of crushing needles. In this paper, the first-order and second-order statistical characteristics and energy dissipation rate of vertical jet energy dissipators under different structural parameters are studied by means of numerical simulation and a physical model test. The results show that, within the scope of this study, the energy dissipation rate of a vertical jet increases with the increase in Reynolds number, the number of crushing needles, and the size of crushing needles; and the energy dissipation rate of the vertical jet increases by 1.04 to 4.89 times compared with that without crushing needles. Under the same Reynolds number, the height of the jet decreases with the increase in the number of crushing needles and the size of the crushing needles. With the vertical development of the flow, the vertical average velocity of the vertical jet energy dissipator is getting smaller and smaller. Adding crushing needles will hinder the upward diffusion of the jet, reduce the height of the jet, and accelerate the attenuation of the jet velocity. As a statistic result regarding the fluid stress, the Reynolds stress along the axis shows a slow upward trend at the potential core, soars at the shear layer, and finally decreases at the end of the jet. The flow has a higher convective transportation intensity in the lateral direction than in other directions. The addition of crushing needles can, to some extent, affect the fluid transport in that area, thereby altering the pressure in the region and dissipating the mechanical energy of the flow-induced vibrations when the jet impacts the crushing needles. The vertical jet-type energy dissipator proposed in this study addresses key engineering challenges, such as terrain constraints and the need for flexible design solutions. Its ability to efficiently dissipate energy while maintaining adaptability makes it a valuable tool for hydraulic engineers designing energy dissipation systems. The conclusions of this study provide a theoretical basis for the application of vertical jet energy dissipators.https://www.mdpi.com/2076-3417/15/7/3560energy dissipatorsvertical jetstatistical characteristicsenergy dissipation rate |
| spellingShingle | Haijun Ma Xihuan Sun Yongye Li Turbulence Statistical Characteristics and Energy Dissipation Rate Analysis of Vertical Jet Energy Dissipators Applied Sciences energy dissipators vertical jet statistical characteristics energy dissipation rate |
| title | Turbulence Statistical Characteristics and Energy Dissipation Rate Analysis of Vertical Jet Energy Dissipators |
| title_full | Turbulence Statistical Characteristics and Energy Dissipation Rate Analysis of Vertical Jet Energy Dissipators |
| title_fullStr | Turbulence Statistical Characteristics and Energy Dissipation Rate Analysis of Vertical Jet Energy Dissipators |
| title_full_unstemmed | Turbulence Statistical Characteristics and Energy Dissipation Rate Analysis of Vertical Jet Energy Dissipators |
| title_short | Turbulence Statistical Characteristics and Energy Dissipation Rate Analysis of Vertical Jet Energy Dissipators |
| title_sort | turbulence statistical characteristics and energy dissipation rate analysis of vertical jet energy dissipators |
| topic | energy dissipators vertical jet statistical characteristics energy dissipation rate |
| url | https://www.mdpi.com/2076-3417/15/7/3560 |
| work_keys_str_mv | AT haijunma turbulencestatisticalcharacteristicsandenergydissipationrateanalysisofverticaljetenergydissipators AT xihuansun turbulencestatisticalcharacteristicsandenergydissipationrateanalysisofverticaljetenergydissipators AT yongyeli turbulencestatisticalcharacteristicsandenergydissipationrateanalysisofverticaljetenergydissipators |