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Experimental and Numerical Study on Water Filling and Air Expelling Process in a Pipe with Multiple Air Valves under Water Slow Filling Condition

by Jintao Liu 1,2, Di Xu 1,*, Shaohui Zhang 1 and Meijian Bai 1
1
State Key Laboratory of Simulation and Regulation of Water Cycle in River Basin, China Institute of Water Resources and Hydropower Research, Beijing 100038, China
2
College of Water Resources and Civil Engineering, China Agricultural University, Beijing 100083, China
*
Author to whom correspondence should be addressed.
Water 2019, 11(12), 2511; https://doi.org/10.3390/w11122511
Received: 20 September 2019 / Revised: 24 November 2019 / Accepted: 26 November 2019 / Published: 28 November 2019
(This article belongs to the Section Hydraulics)
This paper investigates the physical processes involved in the water filling and air expelling process of a pipe with multiple air valves under water slow filling condition, and develops a fully coupledwater–air two-phase stratified numerical model for simulating the process. In this model, the Saint-Venant equations and the Vertical Average Navier–Stokes equations (VANS) are respectively applied to describe the water and air in pipe, and the air valve model is introduced into the VANS equations of air as the source term. The finite-volume method and implicit dual time-stepping method (IDTS) with two-order accuracy are simultaneously used to solve this numerical model to realize the full coupling between water and air movement. Then, the model is validated by using the experimental data of the pressure evolution in pipe and the air velocity evolution of air valves, which respectively characterize the water filling and air expelling process. The results show that the model performs well in capturing the physical processes, and a reasonable agreement is obtained between numerical and experimental results. This agreement demonstrates that the proposed model in this paper offers a practical method for simulating water filling and air expelling process in a pipe with multiple air valves under water slow filling condition.
Keywords: water slow filling; flow pattern; water–air interface; water–air two-phase stratified model; air valve model water slow filling; flow pattern; water–air interface; water–air two-phase stratified model; air valve model
MDPI and ACS Style

Liu, J.; Xu, D.; Zhang, S.; Bai, M. Experimental and Numerical Study on Water Filling and Air Expelling Process in a Pipe with Multiple Air Valves under Water Slow Filling Condition. Water 2019, 11, 2511.

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