Numerical simulation and analysis of five-stage lifting pump by improved turbulence model and catastrophe theory

Engineering Applications of Computational Fluid Mechanics

XiaoYang Yuan¹  Mei Lin²  Xiao Liang³  Hailiang Xu⁴  Jiu Hui Wu⁵  Zhuo Zhou⁵  Lin Zhang⁵ 

[1] Key Laboratory of Education Ministry for Modem Design and Rotor-bearing System, Xi’an Jiaotong University;School of Energy and Power Engineering, Xi’an Jiaotong University;School of Mechanical Engineering, Xiangtan University;State Key Laboratory of High Performance Complex Manufacturing, School of Mechanical and Electrical Engineering, Central South University;State Key Laboratory of Mechanical Structural Strength and Vibration, School of Mechanical Engineering, Xi'an JiaoTong University;

关键词: turbulence;    catastrophe theory;    lifting pump;    deep-sea mining;    complex phase transitions;   

DOI  :  10.1080/19942060.2019.1711197

来源: DOAJ

【 摘 要 】

How to theoretically describe the process of turbulence formation emains an unsolved problem. A new method is presented in this paper for quantitatively researching the turbulence phase transition based on a dimensionless method and catastrophe theory. Then, the formula of energy spectrum density Ek, with the wave number and time-scale index strictly derived from the folding catastrophe model, can quantitatively explain the energy in the turbulent system, inherited from large eddies and transferred to small eddies until viscous dissipation occurs, theoretically and physically. As an example, solid–liquid two-phase flow in a five-stage lifting pump for a 6000 m deep-sea mining system is analyzed based on a structured mesh by numerical simulation, in which this turbulence model is validated. This method provides equations that can give a quantitative analysis with a physical explanation for turbulence formation, which not only provides a new insight into the turbulence, but also can be applied to other complex phase transitions.

【 授权许可】

Unknown