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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 Starov
A 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 Topics

Volume

224

Issue

2

Pages

459 - 471

Citation

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-Verlag

Version

  • 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

2015-04-08

Notes

Closed access

ISSN

1951-6355

eISSN

1951-6401

Language

  • en

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