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

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

Year:    2013

Author:    Shuhong Liu, Yulin Wu, Yu Xu, Hua-Shu Dou

Advances in Applied Mathematics and Mechanics, Vol. 5 (2013), Iss. 5 : pp. 607–638

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 kϵkca 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 kϵkca turbulence model, that is the RNG kϵ 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.12-m1256

Advances in Applied Mathematics and Mechanics, Vol. 5 (2013), Iss. 5 : pp. 607–638

Published online:    2013-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    32

Keywords:    Cavitating flow two-fluid model RNG k−ǫ−kca turbulence model Boltzmann equations kinetic theory.

Author Details

Shuhong Liu Email

Yulin Wu Email

Yu Xu Email

Hua-Shu Dou Email

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