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Foam drainage placed on a porous substrate

journal contribution
posted on 05.11.2015 by Omid Arjmandi-Tash, Nina Kovalchuk, Anna Trybala, Victor Starov
A model for drainage/imbibition of a foam placed on the top of a porous substrate is presented. The equation of liquid imbibition into the porous substrate is coupled with a foam drainage equation at the foam/porous substrate interface. The deduced dimensionless equations are solved using a finite element method. It was found that the kinetics of foam drainage/imbibition depends on three dimensionless numbers and the initial liquid volume fraction. The result shows that there are three different regimes of the process. Each regime starts after initial rapid decrease of a liquid volume fraction at the foam/porous substrate interface: (i) rapid imbibition: the liquid volume fraction inside the foam at the foam/porous substrate interface remains constant close to a final liquid volume fraction; (ii) intermediate imbibition: the liquid volume fraction at the interface with the porous substrate experiences a peak point and imbibition into the porous substrate is slower as compared with the drainage; (iii) slow imbibition: the liquid volume fraction at the foam/porous substrate interface increases to a maximum limiting value and a free liquid layer is formed between the foam and the porous substrate. However, the free liquid layer disappears after some time. The transition points between these three different drainage/imbibition regimes were delineated by introducing two dimensionless numbers.

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

SOFT MATTER

Volume

11

Issue

18

Pages

3643 - 3652 (10)

Citation

ARJMANDI-TASH, O. ... et al., 2015. Foam drainage placed on a porous substrate. Soft Matter, 11 (18), pp. 3643 - 3652.

Publisher

© The Royal Society of Chemistry

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

Notes

Closed access

ISSN

1744-683X

Language

en

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