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Analysis of Two-Phase Cavitating Flow with Two-Fluid Model Using Integrated Boltzmann Equations

Published online by Cambridge University Press:  03 June 2015

Shuhong Liu ,
Yulin Wu ,
Yu Xu  and
Hua-Shu Dou
Shuhong Liu
Affiliation:
State Key Laboratory of Hydro Science and Hydraulic Engineering, Tsinghua University, Beijing 100084, China
Yulin Wu*
Affiliation:
State Key Laboratory of Hydro Science and Hydraulic Engineering, Tsinghua University, Beijing 100084, China
Yu Xu
Affiliation:
Institute of Engineering Thermophysics, Chinese Academy of Sciences, Beijing 100080, China
Hua-Shu Dou*
Affiliation:
Faculty of Mechanical Engineering and Automation, Zhejiang Sci-Tech University, Hangzhou 310018, Zhejiang, China
*
Email: wyl-dhh@tsinghua.edu.cn
Corresponding author. Email: huashudou@yahoo.com
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Abstract

In the present work, both computational and experimental methods are employed to study the two-phase flow occurring in a model pump sump. The two-fluid model of the two-phase flow has been applied to the simulation of the three-dimensional cavitating flow. The governing equations of the two-phase cavitating flow are derived from the kinetic theory based on the Boltzmann equation. The isotropic RNG k — ε — kca turbulence model of two-phase flows in the form of cavity number instead of the form of cavity phase volume fraction is developed. The RNG k—ε—kca turbulence model, that is the RNG k — e turbulence model for the liquid phase combined with the kca model for the cavity phase, is employed to close the governing turbulent equations of the two-phase flow. The computation of the cavitating flow through a model pump sump has been carried out with this model in three-dimensional spaces. The calculated results have been compared with the data of the PIV experiment. Good qualitative agreement has been achieved which exhibits the reliability of the numerical simulation model.

Keywords

76T1076M12Cavitating flowtwo-fluid modelRNG k–ε–kca turbulence modelBoltzmann equationskinetic theory
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 5 , Issue 5 , October 2013 , pp. 607 - 638
Copyright
Copyright © Global-Science Press 2013

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