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Interaction of foam with a porous medium: theory and calculations
journal contribution
posted on 2015-11-05, 09:09 authored by A. Bureiko, Omid Arjmandi-Tash, Nina Kovalchuk, Anna TrybalaAnna Trybala, Victor StarovA new theory of foam drainage in the presence of a porous support was introduced and accordingly, a mathematical model which combines the foam drainage equation with the equation describing imbibition into the porous substrate was developed. Proposed dimensionless equations were solved using finite element method. Boundary conditions were zero liquid flux on the top of the foam and continuity of flux on foam/substrate interface. It was found that the kinetics of foam drainage depends on three dimensionless numbers. The result indicated that there are two possible scenarios for the interaction of foam with a porous substrate: (i) a rapid imbibition, the liquid volume fraction at the bottom of the foam is a decreasing function of time. In this regime the imbibition into the porous substrate dominates and it is faster as compared with the foam drainage; (ii) a slow imbibition, the liquid volume fraction at the interface experiences a peak point and imbibition into the porous substrate is slower for some time as compared with the foam drainage.
Funding
This research was supported by EU CoWet project, Procter & Gamble, USA, EPSRC, UK, PASTA project, European Space Agency, and COST project MP1106
History
School
- Aeronautical, Automotive, Chemical and Materials Engineering
Department
- Chemical Engineering
Published in
The European Physical Journal Special TopicsVolume
224Issue
2Pages
459 - 471Citation
BUREIKO, A. ... et al., 2015. Interaction of foam with a porous medium: theory and calculations. European Physical Journal - Special Topics, 224 (2), pp. 459 - 471.Publisher
© EDP Sciences, Springer-VerlagVersion
- VoR (Version of Record)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Publication date
2015-04-08Notes
Closed accessISSN
1951-6355eISSN
1951-6401Publisher version
Language
- en