A Three-Dimensional Model of Two-Phase Flows in a Porous Medium Accounting for Motion of the Liquid–Liquid Interface

2018 ◽  
Vol 122 (3) ◽  
pp. 713-744 ◽  
Author(s):  
Alexander A. Shapiro
1998 ◽  
Vol 120 (1) ◽  
pp. 131-135 ◽  
Author(s):  
Masahiko Inoue ◽  
Akira Nakayama

Three-dimensional numerical experiments have been conducted to investigate the viscous and porous inertia effects on the pressure drop in a non-Newtonian fluid flow through a porous medium. A collection of cubes placed in a region of infinite extent has been proposed as a three-dimensional model of microscopic porous structure. A full set of three-dimensional momentum equations is treated along with the continuity equation at a pore scale, so as to simulate a flow through an infinite number of obstacles arranged in a regular pattern. The microscopic numerical results, thus obtained, are processed to extract the macroscopic relationship between the pressure gradient-mass flow rate. The modified permeability determined by reading the intercept value in the plot showing the dimensionless pressure gradient versus Reynolds number closely follows Christopher and Middleman’s formula based on a hydraulic radius concept. Upon comparing the results based on the two- and three-dimensional models, it has been found that only the three-dimensional model can capture the porous inertia effects on the pressure drop, correctly. The resulting expression for the porous inertia possesses the same functional form as Ergun’s, but its level is found to be only one third of Ergun’s.


2013 ◽  
Vol 584 ◽  
pp. 60-66 ◽  
Author(s):  
Ze Xiang Liu ◽  
Min Kang ◽  
Xiu Qing Fu

A device was designed to study the small holes by the rotary combined ultrasonic and electrochemical machining, and the gap between cathode and anode in the processing was also analyzed. A three-dimensional model of flow field was developed in ANSYS CFX software based on FEM by the gas-liquid two-phase fluid cavitations model as well as the effect of rotary cathode and the vibrated cathode to the flow field was analyzed. The simulation showed that the pressure and the velocity of the electrolyte in the gap were oscillated by additional motion of cathode, which is helpful to the electrochemical machining. The comparison of rotary electrochemical machining and the rotary combined ultrasonic and electrochemical machining showed that the rotary combined ultrasonic and electrochemical machining has better ability of making small holes than that of rotary electrochemical machining


2011 ◽  
Vol 354-355 ◽  
pp. 236-239 ◽  
Author(s):  
Song Ying Chen ◽  
Jun Jie Mao

This paper reports the results of a study on the reason for chlorine-induced corrosion in the superheater, the factor of corrsion is caused by the chloride deposit. A three-dimensional model is performed in order to analyse chloride particles deposit in the flue-gas. The use of CFD codes for modeling of two-phase flow, it is important to know whether or not deposition will be present in some sensitive location. The RNG k-ε turbulence model and mixture model are employed in the article. The predicted results show that the volume fraction of particles phase varies along with the flow field. Chloride particles may deposit where the area of high volume fraction. Actually, under the condition of different velocity magnitude, the deposition of chloride particles is existed on the border of the baffle and at the bottom of the vessel.


Skull Base ◽  
2008 ◽  
Vol 18 (S 01) ◽  
Author(s):  
Akio Morita ◽  
Toshikazu Kimura ◽  
Shigeo Sora ◽  
Kengo Nishimura ◽  
Hisayuki Sugiyama ◽  
...  

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