ON A HIGH-RESOLUTION GODUNOV METHOD FOR A CFD-PBM COUPLED MODEL OF TWO-PHASE FLOW IN LIQUID-LIQUID EXTRACTION COLUMNS

2010 ◽  
Vol 07 (03) ◽  
pp. 421-442 ◽  
Author(s):  
D. ZEIDAN ◽  
M. ATTARAKIH ◽  
J. KUHNERT ◽  
S. TIWARI ◽  
V. SHARMA ◽  
...  
Keyword(s):  
Numerical Solutions ◽  
Two Phase Flow ◽  
Coupled Model ◽  
Liquid Extraction ◽  
Godunov Method ◽  
Balance Model ◽  
Extraction Column ◽  
Phase Flow ◽  
Two Phase ◽  
Liquid Liquid Extraction

This paper is about the numerical solutions for a computational fluid dynamics-population balance model (CFD-PBM) coupled model of two-phase flow in a liquid-liquid extraction column. The model accounts for a complete description between both the dispersed and continuous phases, and constitutes a hyperbolic system of equations having a linearly degenerate nature. A numerical algorithm based on operator splitting approach for the numerical solution of the model is used. The homogeneous part is solved using the TVD MUSCL-Hancock scheme. Numerical results are presented, demonstrating the accuracy of the proposed methods and in particular, the accurate numerical description of the flow in the vicinity of the contact discontinuities.

Two-phase flow in metal monoliths: Hydrodynamics and liquid-liquid extraction

2014 ◽  
Vol 92 (12) ◽  
pp. 2166-2175 ◽  
Author(s):  
Jaydeep B. Deshpande ◽  
Abha Gosavi ◽  
Amol A. Kulkarni
Keyword(s):  
Two Phase Flow ◽  
Liquid Extraction ◽  
Phase Flow ◽  
Two Phase ◽  
Liquid Liquid Extraction

scholarly journals Experimental Study and Numerical Simulation of Gas–Liquid Two-Phase Flow in Aeration Tank Based on CFD-PBM Coupled Model

Water ◽  
2020 ◽  
Vol 12 (6) ◽  
pp. 1569 ◽  
Author(s):  
Liang Dong ◽  
Jinnan Guo ◽  
Jiawei Liu ◽  
Houlin Liu ◽  
Cui Dai
Keyword(s):  
Mass Transfer ◽  
Transfer Coefficient ◽  
Mass Transfer Coefficient ◽  
Two Phase Flow ◽  
Bubble Diameter ◽  
Coupled Model ◽  
Balance Model ◽  
Aeration Tank ◽  
Phase Flow ◽  
Two Phase

Gas–liquid two-phase flow directly determines the efficiency and stability of the aeration tank. In this paper, a gas–liquid two-phase testbed is built to explore the aeration performance and internal flow in an aeration tank, including an inverted-umbrella impeller (immersion depth of 0 mm, rotational speed of 250 r/min). Also, the running process is simulated by computational fluid dynamics (CFD) with a population balance model (PBM), and mass transfer coefficient is compared to the experiment. The experimental results show that there is a big difference in bubble diameter, ranging from 0.4 to 1.6 mm. The simulation shows that the impeller intensely draws air above the free surface into the shallow liquid, and the circulation vortex entrains it to the bottom areas faster. Compared with the experiment, the simulated interfacial area and standard oxygen mass transfer coefficient is 12% more and 3% less, respectively. The results reveal that CFD-PBM coupled model can improve the accuracy of calculation, resulting in the simulation of gas–liquid two-phase flow.

scholarly journals Numerical Simulation of Gas–Liquid Two-Phase Flow Characteristics of Centrifugal Pump Based on the CFD–PBM

Mathematics ◽  
2020 ◽  
Vol 8 (5) ◽  
pp. 769 ◽  
Author(s):  
Fan Zhang ◽  
Lufeng Zhu ◽  
Ke Chen ◽  
Weicheng Yan ◽  
Desmond Appiah ◽  
...  
Keyword(s):  
Numerical Simulation ◽  
Centrifugal Pump ◽  
Two Phase Flow ◽  
Average Diameter ◽  
Balance Model ◽  
Phase Flow ◽  
Centrifugal Pumps ◽  
Two Phase ◽  
Coalescence Rate ◽  
Breakage Rate

This work seeks to apply the computational fluid dynamics–population balance model (CFD–PBM) to investigate the gas distribution and flow mechanism in the gas–liquid two-phase flow of a centrifugal pump. The findings show that the numerical simulation accurately captures the bubble distribution characteristics in the process of coalescence and breakage evolution. In addition, comparing the CFD–PBM with the Double Euler, the hydraulic head of the pump are similar, but the efficiency using the Double Euler is much higher—even close to single-phase. This is in contrast to previous experimental research. Then, the unsteady flow usually led to the formation of bubbles with larger diameters especially where vortices existed. In addition, the rotor–stator interaction was a main reason for bubble formation. Generally, it was observed that the coalescence rate was greater than the breakage rate; thus, the coalescence rate decreased until it equaled the breakage rate. Thereafter, the average diameter of the bubble in each part tended to be stable during the process of bubble evolution. Finally, the average diameter of bubbles seemed to increase from inlet to outlet. The results of this study may not only enhance the gas–liquid two-phase internal flow theory of centrifugal pumps, but also can serve as a benchmark for optimizations of reliable operation of hydraulic pumps under gas–liquid two-phase flow conditions.

The Riemann problem and a high-resolution Godunov method for a model of compressible two-phase flow

2006 ◽  
Vol 212 (2) ◽  
pp. 490-526 ◽  
Author(s):  
D.W. Schwendeman ◽  
C.W. Wahle ◽  
A.K. Kapila
Keyword(s):  
High Resolution ◽  
Riemann Problem ◽  
Two Phase Flow ◽  
Godunov Method ◽  
Phase Flow ◽  
Two Phase

Effect of Mass Equations for Two-Phase Flow Analyses on Numerical Solutions

1992 ◽  
Vol 6 (4) ◽  
pp. 395-405
Author(s):  
Tomio OHKAWA ◽  
Akio TOMIYAMA
Keyword(s):  
Numerical Solutions ◽  
Two Phase Flow ◽  
Phase Flow ◽  
Two Phase
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