TY - JOUR
T1 - The long cross-over dynamics of capillary imbibition
AU - Ruiz Gutierrez, Elfego
AU - Armstrong, Steven
AU - Leveque, Simon
AU - Michel, Celestin
AU - Pagonabarraga, Ignacio
AU - Wells, Gary
AU - Hernández-Machado, Aurora
AU - Ledesma Aguilar, Rodrigo
N1 - Funding Information:
E.R.-G. and R.L.-A. acknowledge support from EPSRC (grant no. EP/P024408/1). G.G.W. acknowledges support from EPSRC (grant no. EP/P026613/1). A.H.-M. acknowledges support from Ministerio de Ciencia e Innovación (Spain) under project PID2019-106063GB-100. I.P. acknowledges support from Ministerio de Ciencia, Innovación y Universidades MCIU/AEI/FEDER for financial support under grant agreement PGC2018-098373-B-100 AEI/FEDER-EU, from Generalitat de Catalunya under project 2017SGR-884, Swiss National Science Foundation Project No. 200021-175719. A.H.-M. and I.P. acknowledge the EU Horizon 2020 program through 766972-FET-OPEN NANOPHLOW.
Publisher Copyright:
©
PY - 2022/5/25
Y1 - 2022/5/25
N2 - Spontaneous capillary imbibition is a classical problem in interfacial fluid dynamics with a broad range of application, from microfluidics to agriculture. Here, we study the duration of the cross- over between an initial linear growth of the imbibition front to the diffusive-like growth limit of Washburn’s law. We show that local-resistance sources, such as the inertial resistance and the friction caused by the advancing meniscus, always limit the motion of an imbibing front. Both effects give rise to an algebraic cross-over of the growth exponent between the linear and the diffusive-like regimes. We show how this cross-over is much longer than previously thought–even longer than the time it takes the liquid to fill the porous medium. Such slowly-slowing-down dynamics is likely to cause similar long cross-over phenomena in processes governed by wetting.
AB - Spontaneous capillary imbibition is a classical problem in interfacial fluid dynamics with a broad range of application, from microfluidics to agriculture. Here, we study the duration of the cross- over between an initial linear growth of the imbibition front to the diffusive-like growth limit of Washburn’s law. We show that local-resistance sources, such as the inertial resistance and the friction caused by the advancing meniscus, always limit the motion of an imbibing front. Both effects give rise to an algebraic cross-over of the growth exponent between the linear and the diffusive-like regimes. We show how this cross-over is much longer than previously thought–even longer than the time it takes the liquid to fill the porous medium. Such slowly-slowing-down dynamics is likely to cause similar long cross-over phenomena in processes governed by wetting.
KW - Porous Media
KW - low-Reynolds-number flows
KW - Wetting and wicking
KW - Interfacial Flows (free surface)
KW - interfacial flows
KW - Capillary flows
U2 - 10.1017/jfm.2022.248
DO - 10.1017/jfm.2022.248
M3 - Article
SN - 0022-1120
VL - 939
JO - Journal of Fluid Mechanics
JF - Journal of Fluid Mechanics
M1 - A39
ER -