@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} }