scholarly journals Interfacial area measurements for unsaturated flow through a porous medium

2004 ◽  
Vol 40 (12) ◽  
Author(s):  
Katherine A. Culligan ◽  
Dorthe Wildenschild ◽  
Britt S. B. Christensen ◽  
William G. Gray ◽  
Mark L. Rivers ◽  
...  
Keyword(s):  
Porous Medium ◽  
Unsaturated Flow ◽  
Interfacial Area ◽  
Flow Through

Permeability Modeling Considering Microstructure of Preform

2007 ◽  
Vol 334-335 ◽  
pp. 437-440 ◽  
Author(s):  
Do Hoon Lee ◽  
Joon Ho Lee ◽  
Woo I. Lee
Keyword(s):  
Porous Medium ◽  
Unsaturated Flow ◽  
Manufacturing Industries ◽  
Experimental Measurements ◽  
Resin Flow ◽  
Flow Conditions ◽  
Composite Manufacturing ◽  
Liquid Molding ◽  
Flow Through ◽  
Inhomogeneous Microstructure

Liquid molding processes are becoming more popular among the composite manufacturing industries due to their versatility and economy among other merits. In analyzing the flow during the process, permeability is the most important parameter. Permeability has been regarded as a property of the porous medium. However, in many practical cases, the value may vary depending on the flow conditions such as the flow rate. It is speculated that this deviation is caused by inhomogeneous microstructure of the medium. In this study, numerical simulations as well as experimental measurements have been done to investigate the cause of deviation. Microstructure of porous medium was modeled as an array of porous cylinders. Resin flow through the array was simulated numerically. Simulations were performed for two different flow conditions, namely saturated flow and unsaturated flow. Based upon the results, permeabilities were estimated and compared for the two flow conditions. In addition, a model was proposed to predict the permeability for different flow conditions. Results showed that experimental data were in agreement with the prediction by the model.

Modeling Tree Water Flow as an Unsaturated Flow through a Porous Medium

2002 ◽  
Vol 219 (4) ◽  
pp. 415-429 ◽  
Author(s):  
CRAIG A. AUMANN ◽  
E. DAVID FORD
Keyword(s):  
Porous Medium ◽  
Water Flow ◽  
Unsaturated Flow ◽  
Flow Through

Stochastic homogenization and macroscopic modelling of composites and flow through porous media

2002 ◽  
pp. 337-378 ◽  
Author(s):  
Jozef Telega ◽  
Wlodzimierz Bielski
Keyword(s):  
Porous Medium ◽  
Random Distribution ◽  
Flow Through Porous Media ◽  
Macroscopic Models ◽  
Linear Elastic ◽  
Multi Scale ◽  
Convergence Method ◽  
Flow Through ◽  
The Mean ◽  
Random Porous Medium

The aim of this contribution is mainly twofold. First, the stochastic two-scale convergence in the mean developed by Bourgeat et al. [13] is used to derive the macroscopic models of: (i) diffusion in random porous medium, (ii) nonstationary flow of Stokesian fluid through random linear elastic porous medium. Second, the multi-scale convergence method developed by Allaire and Briane [7] for the case of several microperiodic scales is extended to random distribution of heterogeneities characterized by separated scales (stochastic reiterated homogenization). .

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