Calculation on Fluctuation of Water Surface in Ship Lift Chamber under Water Level Difference  

作　　者：Xiaomeng Cao Zhenghua Gu Xiaomeng Cao;Zhenghua Gu(College of Engineering, Zhejiang Open University, Hangzhou, China;College of Civil Engineering and Architecture, Zhejiang University, Hangzhou, China)

机构地区：[1]College of Engineering, Zhejiang Open University, Hangzhou, China [2]College of Civil Engineering and Architecture, Zhejiang University, Hangzhou, China

出　　处：《Journal of Applied Mathematics and Physics》2025年第2期429-444,共16页应用数学与应用物理(英文)

摘　　要：Upon ship lift chamber docking with approach channel in the case of water level difference, water in chamber will fluctuate evidently. The maximum or minimum fluctuation of water surface is an important parameter to measure operational safety of ship lift. A simplified 3D mathematical model of ship lift chamber upon tumble gate opening was built based on standard k-ε model, FVM (Finite Volume Method) and VOF (Volume of Fluid) model. Based on π theorem, the dimensionless influencing factors of Δhmax/d and Δhmin/d were B/L, d/B and Δh/d. On this basis, 30 sets of working conditions were designed to respectively study the relationships between the maximum wave height and each influencing factor. Through regression analysis, the empirical formulas of Δhmax/d and Δhmin/d were obtained. Furthermore, taking into account the potential influence of the gate opening time on the wave height in practical applications, the relationship between the gate opening time and the error was fitted, and the modified empirical formulas of Δh′max/dand Δh′min/dwere derived, which had a wider scope of application. The results have practical value for engineering design and security operation of ship lift.Upon ship lift chamber docking with approach channel in the case of water level difference, water in chamber will fluctuate evidently. The maximum or minimum fluctuation of water surface is an important parameter to measure operational safety of ship lift. A simplified 3D mathematical model of ship lift chamber upon tumble gate opening was built based on standard k-ε model, FVM (Finite Volume Method) and VOF (Volume of Fluid) model. Based on π theorem, the dimensionless influencing factors of Δhmax/d and Δhmin/d were B/L, d/B and Δh/d. On this basis, 30 sets of working conditions were designed to respectively study the relationships between the maximum wave height and each influencing factor. Through regression analysis, the empirical formulas of Δhmax/d and Δhmin/d were obtained. Furthermore, taking into account the potential influence of the gate opening time on the wave height in practical applications, the relationship between the gate opening time and the error was fitted, and the modified empirical formulas of Δh′max/dand Δh′min/dwere derived, which had a wider scope of application. The results have practical value for engineering design and security operation of ship lift.

关 键 词：Ship Lift CHAMBER Water Wave VOF Model FVM CFD 

分 类 号：O17[理学—数学]