Abstract

The traditional discrete vapor cavity model (DVCM) is widely used in water hammer simulation. Water column separation in pipelines is usually predicted with this model. Nevertheless, the main weaknesses of this model consist of numerical instability and nonconvergence. Regarding the weaknesses of the traditional model, this paper discusses an improved method. The new method uses a new water hammer velocity formula, a new cavity model, and a floating grid method. Through simulations to test the effects of the new model, an experimental platform can be established to realize a water hammer with multipoint collapsing. The numerical simulation was programmed in C++ and the test was carried out with an actual pipeline model built in the laboratory. After certain modelling and calibration, the parameters in the simulation calculation were consistent with the measured parameters in the test. The numerical simulation results were compared with the experimental results. For the hydraulic transient system with multipoint collapsing, the superposition effect of the wave crest of the pseudo-water hammer in the traditional calculation model was obvious. The pressure of the water hammer in the simulation calculation was significantly higher than the actual value and the convergence effect of the water hammer wave was not good. Compared with the results of the traditional model, the simulation results of the new model were closer to the measured values. Therefore, the new model has better numerical solution accuracy, stability, and convergence, which is worth further study and promotion.

Highlights

  • Water hammers with multipoint collapsing are the main cause of pipeline burst accidents in water transportation projects

  • The traditional discrete vapor cavity model (DVCM) is the main method of predicting the water hammer process with liquid column separation since it has the advantages of simple operation and simple convergence conditions [19]

  • Aiming at the shortcomings of the traditional DVCM model, research was carried out and results were achieved in this paper

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Summary

Introduction

Water hammers with multipoint collapsing are the main cause of pipeline burst accidents in water transportation projects. Apollonio et al considered the phase transition of gas release and liquid vaporization at the separation position of the water column and believed that the wave velocity of water hammer varied with the gas content [8]. When bubbles are not evenly distributed in water, the model can be used to calculate the velocity of the water hammer with gas, but the calculation results contain significant errors It is a long-term research topic for scholars to establish appropriate calculation methods. The traditional discrete vapor cavity model (DVCM) is the main method of predicting the water hammer process with liquid column separation since it has the advantages of simple operation and simple convergence conditions [19]. A new wave velocity formula for a water hammer and a cavity model considering liquid elasticity were established, and the calculation was carried out by the floating grid method. The simulation results show that the new model is superior to the traditional DVCM model in accuracy, stability, and convergence

Wave Velocity of the Water Hammer
Model of Collapsing Cavity
Method of the Floating Grid
Experimental Design
Instrument Calibration
Experimental
Results and Discussion
Comparison
Comparisons
Conclusions
Methods
Full Text
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