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 $k-\epsilon-k_{ca}$ 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 $k-\epsilon-k_{ca}$ turbulence model, that is the RNG $k-\epsilon$ turbulence model for the liquid phase combined with the $k_{ca}$ 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.
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