Thermodynamic Model and Sum Rules for Three-Phase Coexistence near the Tricritical Point in a Liquid Mixture

1980 ◽  
Vol 44 (2) ◽  
pp. 77-80 ◽  
Author(s):  
M. Kaufman ◽  
K. K. Bardhan ◽  
R. B. Griffiths
Keyword(s):  
Thermodynamic Model ◽  
Sum Rules ◽  
Liquid Mixture ◽  
Tricritical Point ◽  
Phase Coexistence ◽  
Three Phase

Light Scattering and Sum Rules in Three Phases of a Liquid Mixture near Its Tricritical Point

1980 ◽  
Vol 44 (2) ◽  
pp. 80-84 ◽  
Author(s):  
M. W. Kim ◽  
W. I. Goldburg ◽  
P. Esfandiari ◽  
J. M. H. Levelt Sengers ◽  
E. -S. Wu
Keyword(s):  
Light Scattering ◽  
Sum Rules ◽  
Liquid Mixture ◽  
Tricritical Point ◽  
Three Phases

Light scattering and sum rules of three coexisting phases for quasiternary solutions near the tricritical point

2010 ◽  
Vol 132 (7) ◽  
pp. 074501 ◽  
Author(s):  
Nong Wang ◽  
Xueqin An ◽  
Jinshou Wang ◽  
Xuhong Peng ◽  
Weiguo Shen
Keyword(s):  
Light Scattering ◽  
Sum Rules ◽  
Tricritical Point ◽  
Coexisting Phases

Theoretical study on phase coexistence in ferroelectric solid solutions near the tricritical point

2015 ◽  
Vol 117 (13) ◽  
pp. 134101 ◽  
Author(s):  
Xiaoyan Lu ◽  
Limei Zheng ◽  
Hui Li ◽  
Wenwu Cao
Keyword(s):  
Solid Solutions ◽  
Theoretical Study ◽  
Tricritical Point ◽  
Phase Coexistence

Numerical Simulation of Single Bubble Moving in Stagnant Solid-Liquid Mixture Pool Using Finite Volume Particle Method

2013 ◽  
Author(s):  
Yuki Aramaki ◽  
Takahito Suzuki ◽  
Ichiro Miya ◽  
Liancheng Guo ◽  
Koji Morita
Keyword(s):  
Liquid Mixture ◽  
Single Bubble ◽  
Phase Flow ◽  
Bubble Shape ◽  
Rise Velocity ◽  
Bubble Rise ◽  
Bubble Rise Velocity ◽  
Three Phase ◽  
Three Phase Flow ◽  
Fluid Interactions

Three-phase flow formed in a disrupted core of nuclear reactors is one of the key phenomena to be simulated in reactor safety analysis. Particle-based simulation could be a powerful CFD tool to understand and clarify local thermal-hydraulic behaviors involved in such three-phase flows. In the present study, to develop a computational framework for three-phase flow simulations, a single bubble moving in a stagnant solid particle-liquid mixture pool was simulated using the finite volume particle (FVP) method. The simulations were carried out in a two dimensional system. The bubble shape change and the bubble rise velocity were compared with the newly performed experiments, which used solid particulate glasses of 0.9 mm in diameter, liquid silicone and air. The two-phase flow simulation of a single bubble rising in a stagnant liquid pool reproduced measured bubble shape and bubble rise velocity reasonably. On the other hand, the bubble rise velocity in a stagnant particle-liquid mixture pool was overestimated in comparison with the measurement. This result suggests that particle-particle and particle-fluid interactions would have dominant influence on bubble motion behavior in the particle-liquid mixture pool under the present multiphase conditions. To evaluate such interactions in the simulations, the particle-particle interactions were modeled by the distinct element method (DEM), while two models were applied to represent particle-fluid interactions. One is the theoretical model for apparent viscosity of particle-liquid mixture, which describes the viscosity increase of liquid mixed with solids based on the Frankel-Acrivos equation. The other is the drag force model for solid-fluid interactions. In the present study, we took the Gidaspow drag correlation, which is a combination of the Ergun equation and Wen-Yu equation. A comparison of both the transient bubble shape and bubble rise velocity between the results of experiment and simulation demonstrates that the present computational framework based on the FVP method and solid-phase interaction models is useful for numerical simulations of a single bubble moving in a stagnant solid particle-liquid mixture pool.

Study of CO2 Solubility in Brine under Different Temperatures and Pressures

2015 ◽  
Vol 1113 ◽  
pp. 440-445 ◽  
Author(s):  
Hossein Hamidi ◽  
Nur Farah Ain Mohd Atib ◽  
Amin Azdarpour ◽  
Erfan Mohammadian
Keyword(s):  
Water Vapor ◽  
Ionic Strength ◽  
Salt Concentration ◽  
Weight Ratio ◽  
Phase Coexistence ◽  
Experiment Data ◽  
Two Phase ◽  
Salt Ions ◽  
Three Phase ◽  
Different Temperatures

The solubility of CO2 in water and aqueous solutions of NaCl, KCl, CaCl2, NaCl+KCl (weight ratio= 1:1), NaCl+CaCl2 (weight ratio= 1:1), KCl+CaCl2 (weight ratio= 1:1) and NaCl+KCl+CaCl2 (weight ratio= 1:1:1) was determined experimentally at 35, 45 and 55°C up to 16 MPa and the concentration of the salt was up to 14.3 wt% while in simulation the salt ions of Na+, K+, Ca2+, and Cl- was determined at wide temperature-pressure-ionic strength range (273 to 533 K, from 0 to 2000 bar, and from 0 to 4.5 molality of salts). Based on experiment data, the solubility increased with increase in pressure but decreased with increasing the temperature and salt concentration. Meanwhile, the model also predicted the CO2 solubility in seawater at two phase coexistence (vapour-liquid or liquid-vapor) and at three-phase coexistence (CO2 hydrate-liquid water-vapor CO2).

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