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Volume 5, Issue 5
Analysis of Two-Phase Cavitating Flow with Two-Fluid Model Using Integrated Boltzmann Equations

Shuhong Liu, Yulin Wu, Yu Xu & Hua-Shu Dou

Adv. Appl. Math. Mech., 5 (2013), pp. 607-638.

Published online: 2013-05

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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 $k-\epsilon-k_{ca}$ 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.

  • AMS Subject Headings

76T10, 76M12

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COPYRIGHT: © Global Science Press

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@Article{AAMM-5-607, author = {Liu , ShuhongWu , YulinXu , Yu and Dou , Hua-Shu}, title = {Analysis of Two-Phase Cavitating Flow with Two-Fluid Model Using Integrated Boltzmann Equations}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2013}, volume = {5}, number = {5}, pages = {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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.12-m1256}, url = {http://global-sci.org/intro/article_detail/aamm/88.html} }
TY - JOUR T1 - Analysis of Two-Phase Cavitating Flow with Two-Fluid Model Using Integrated Boltzmann Equations AU - Liu , Shuhong AU - Wu , Yulin AU - Xu , Yu AU - Dou , Hua-Shu JO - Advances in Applied Mathematics and Mechanics VL - 5 SP - 607 EP - 638 PY - 2013 DA - 2013/05 SN - 5 DO - http://doi.org/10.4208/aamm.12-m1256 UR - https://global-sci.org/intro/article_detail/aamm/88.html KW - Cavitating flow, two-fluid model, RNG k−ǫ−kca turbulence model, Boltzmann equations, kinetic theory. AB -

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.

Shuhong Liu, Yulin Wu, Yu Xu & Hua-Shu Dou. (1970). Analysis of Two-Phase Cavitating Flow with Two-Fluid Model Using Integrated Boltzmann Equations. Advances in Applied Mathematics and Mechanics. 5 (5). 607-638. doi:10.4208/aamm.12-m1256
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