Analysis of Two-Phase Cavitating Flow with Two-Fluid Model Using Integrated Boltzmann Equations |
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Authors: | Shuhong Liu Yulin Wu Yu Xu & Hua-Shu Dou |
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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. |
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Keywords: | Cavitating flow two-fluid model RNG k???kca turbulence model Boltzmann equations kinetic theory |
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