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<p>In response to the overall goal of national water network construction, this study investigates the transient flow characteristics of the water filling process in undulating pipelines under complex terrain conditions across multiple scenarios. Based on the VOF model, a numerical simulation method was developed to elucidate the evolution laws of pressure, flow state, etc. during the water filling process, thereby providing a reference for the efficient and safe transportation of water resources in mountainous areas. The research findings indicate that: (1) Under each condition, the pressure at sections S1 and S4 initially increases, then decreases, and eventually stabilizes. The undulating angle exerts the most significant influence, with the pressure peak at section S1 being approximately 2.3 times higher at an undulating angle of 40° (13178.01&#xa0;Pa) than at 20° (5731.72&#xa0;Pa). (2) The flow state remains stable during low-speed water filling but becomes complex during high-speed water filling. Large undulating angles and large-diameter pipelines are more susceptible to gas retention, resulting in pronounced water-gas mixing. (3) The turbulent kinetic energy under each condition initially increases, then decreases, and eventually stabilizes, and rises with the increase in flow velocity, undulating angle, and pipe diameter. It is evident that high water filling flow velocity, large undulating angle, and large-diameter pipelines are more likely to retain gas and result in more unstable flow states.</p>

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Numerical Simulation of Transient Flow Characteristics During the Water Filling Process in Undulating Pipelines Under Complex Terrain Conditions

  • 期刊论文

  • 发表日期：

    2026年5月19日

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  • Xi Shi,
  • Tiantian Huang,
  • Hui Chen,
  • Hu Tao,
  • Yuanshun Huo

摘要

In response to the overall goal of national water network construction, this study investigates the transient flow characteristics of the water filling process in undulating pipelines under complex terrain conditions across multiple scenarios. Based on the VOF model, a numerical simulation method was developed to elucidate the evolution laws of pressure, flow state, etc. during the water filling process, thereby providing a reference for the efficient and safe transportation of water resources in mountainous areas. The research findings indicate that: (1) Under each condition, the pressure at sections S1 and S4 initially increases, then decreases, and eventually stabilizes. The undulating angle exerts the most significant influence, with the pressure peak at section S1 being approximately 2.3 times higher at an undulating angle of 40° (13178.01 Pa) than at 20° (5731.72 Pa). (2) The flow state remains stable during low-speed water filling but becomes complex during high-speed water filling. Large undulating angles and large-diameter pipelines are more susceptible to gas retention, resulting in pronounced water-gas mixing. (3) The turbulent kinetic energy under each condition initially increases, then decreases, and eventually stabilizes, and rises with the increase in flow velocity, undulating angle, and pipe diameter. It is evident that high water filling flow velocity, large undulating angle, and large-diameter pipelines are more likely to retain gas and result in more unstable flow states.