Bubbling behaviors induced by gas-liquid mixture permeating through a porous medium

2016 ◽  
Vol 28 (8) ◽  
pp. 087102 ◽  
Author(s):  
Liang Hu ◽  
Mingbo Li ◽  
Wenyu Chen ◽  
Haibo Xie ◽  
Xin Fu
Keyword(s):  
1987 ◽  
Vol 58 (10) ◽  
pp. 1008-1011 ◽  
Author(s):  
M. Cynthia Goh ◽  
Walter I. Goldburg ◽  
Charles M. Knobler

Author(s):  
V. Yasnou ◽  
A. Mialdun ◽  
D. Melnikov ◽  
V. Shevtsova
Keyword(s):  

1995 ◽  
Vol 407 ◽  
Author(s):  
James P. Donley ◽  
Rebecca M. Nyquist ◽  
Andrea J. Liu

ABSTRACTExperiments show that the coexistence region of a vapor-liquid system or binary liquid mixture is dramatically narrowed when the fluid is confined in a dilute porous medium such as a silica aerogel. We propose a simple model of the gel as a periodic array of cylindrical strands, and study the phase behavior of an Ising system confined in this geometry. Our results suggest that the coexistence region should widen out at lower temperatures, and that the narrowness observed near the critical point may be a fluctuation-induced effect.


The study of the transport and capture of particles moving in a fluid flow in a porous medium is an important problem of underground hydromechanics, which occurs when strengthening loose soil and creating watertight partitions for building tunnels and underground structures. A one-dimensional mathematical model of long-term deep filtration of a monodisperse suspension in a homogeneous porous medium with a dimensional particle retention mechanism is considered. It is assumed that the particles freely pass through large pores and get stuck at the inlet of small pores whose diameter is smaller than the particle size. The model takes into account the change in the permeability of the porous medium and the permissible flow through the pores with increasing concentration of retained particles. A new spatial variable obtained by a special coordinate transformation in model equations is small at any time at each point of the porous medium. A global asymptotic solution of the model equations is constructed by the method of series expansion in a small parameter. The asymptotics found is everywhere close to a numerical solution. Global asymptotic solution can be used to solve the inverse filtering problem and when planning laboratory experiments.


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