Instability analysis of the air-water flow in porous medium | Analiza pojave nestabilnosti kod dvofaznog strujanja u poroznoj sredini
2009
Jacimovic, N., Gradjevinski fakultet, Beograd (Serbia) | Hosoda, T., Kyoto University, Kyota (Japan) | Ivetic, M., Gradjevinski fakultet, Beograd (Serbia)
The paper deals with modeling of two phase (water-air) flow in coarse porous medium, where, after reaching some air velocity, instability of the flow occurs. Firstly, a linear stability analysis has been conducted for one-dimensional macroscopic model, which revealed that capillary forces are stability factor, while inertial forces promote instability. Utilizing two, the most frequently applied constitutive models for capillarity-saturation relation; it is found that instability may be expected in materials with representative grain size of 2 mm and greater. In the case of smaller grain size, instability can not occur, regardless of imposed air flow rate. In addition, the paper presents developed numerical model for simulation of two phase flow in porous media with consideration of complete momentum equations. The model is applied on reported laboratory experiments, where observed instability was successfully reproduced.
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