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The breakup dynamics of a capillary bridge on a hydrophobic stripe between two hydrophilic stripes is studied experimentally and numerically using direct numerical simulations. The capillary bridge is formed from an evaporating water…

Direct numerical simulations are presented for a porous media model consisting of two immiscible fluids, an invading and defending phase, in a two-dimensional micro-geometry filled with randomly sized and randomly distributed cylinders.…

Fluid Dynamics · Physics 2020-10-28 Adam O'Brien , Shahriar Afkhami , Markus Bussmann

We study two-phase displacement via the steady compression of an air reservoir connected to an oil-filled capillary tube. Our experiments and modelling reveal complex displacement dynamics depending on compression rate and reservoir volume…

Fluid Dynamics · Physics 2023-04-28 Callum Cuttle , Christopher W. MacMinn

Understanding glass formation is a challenge because the existence of a true glass state, distinct from liquid and solid, remains elusive: Glasses are liquids that have become too viscous to flow. An old idea, as yet unproven…

Liquid-liquid-solid systems are becoming increasingly common in everyday life with many possible applications. Here, we focus on a special case of such liquid-liquid-solid systems, namely, capillary suspensions. These capillary suspensions…

Soft Condensed Matter · Physics 2022-01-14 Sebastian Bindgen , Jens Allard , Erin Koos

We consider the free boundary problem for a 3-dimensional, incompressible, irrotational liquid drop of nearly spherical shape with capillarity. We study the problem from the beginning, extending some classical results from the flat case…

Analysis of PDEs · Mathematics 2026-03-31 Pietro Baldi , Vesa Julin , Domenico Angelo La Manna

The anomalous dynamics of capillary rise in a porous medium discovered experimentally more than a decade ago (Delker et al., Phys. Rev. Lett. 76 (1996) 2902) is described. The developed theory is based on considering the principal modes of…

Fluid Dynamics · Physics 2015-06-05 Yulii Shikhmurzaev , James Sprittles

We study the imbibition of a wetting liquid between flexible sheets that are fixed on both ends. Assuming a narrow gap between the sheets, we solve the lubrication equation coupled with slender body deformation. When the sheets are…

Fluid Dynamics · Physics 2023-08-14 Mouad Boudina , Gwynn J. Elfring

Immiscible two-phase flow in porous media with mixed wet conditions was examined using a capillary fiber bundle model, which is analytically solvable, and a dynamic pore network model. The mixed wettability was implemented in the models by…

Fluid Dynamics · Physics 2021-08-31 Hursanay Fyhn , Santanu Sinha , Subhadeep Roy , Alex Hansen

When an open tube of small diameter touches a bubble of a larger diameter, the bubble spontaneously shrinks and pushes a soap film in the tube. We characterize the dynamics for different bubble sizes and number of soap films in the tube. We…

Soft Condensed Matter · Physics 2023-06-29 Alexis Commereuc , Manon Marchand , Emmanuelle Rio , François Boulogne

We present measurements on the spontaneous imbibition (capillary rise) of water, a linear hydrocarbon (n-C16H34) and a liquid crystal (8OCB) into the pore space of monolithic, nanoporous Vycor glass (mean pore radius 5 nm). Measurements on…

Fluid Dynamics · Physics 2007-05-23 Patrick Huber , Klaus Knorr , Andriy V. Kityk

We investigate the stabilization mechanisms of the invasion front in two-dimensional drainage displacement in porous media by using a network simulator. We focus on the process when the front stabilizes due to the viscous forces in the…

Fluid Dynamics · Physics 2009-10-31 Eyvind Aker , Knut Jorgen Maloy , Alex Hansen

We revisit the classical problem of liquid imbibition in a single pore with spatially varying wettability. Starting from the Lucas-Washburn equation, we derive analytical solutions for the imbibition time (crossing time) in systems where…

Fluid Dynamics · Physics 2026-01-13 Mathis Fricke , Lisanne Gossel , Joel De Coninck

The dynamic conformal transformation method has been generalized for the first time to numerically simulate the capillary wave turbulence of a liquid surface in the plane symmetric anisotropic geometry. The model is strongly nonlinear and…

Fluid Dynamics · Physics 2024-03-20 Evgeny Kochurin

We present pore-scale simulations of two-phase flows in a reconstructed fibrous porous layer. The three dimensional microstructure of the material, a fuel cell gas diffusion layer, is acquired via X-ray computed tomography and used as input…

We analyze the dynamics of liquid filling in a thin, slightly inflated rectangular channel driven by capillary forces. We show that although the amount of liquid $m$ in the channel increases in time following the classical Lucas-Washburn…

Soft Condensed Matter · Physics 2022-05-18 Chen Zhao , Tian Yu , Jiajia Zhou , Masao Doi

Evidence for capillary waves at a liquid/vapor interface are presented from extensive molecular dynamics simulations of a system containing up to 1.24 million Lennard-Jones particles. Careful measurements show that the total interfacial…

Statistical Mechanics · Physics 2009-10-31 Scott W. Sides , Gary S. Grest , Martin-D. Lacasse

Recent experimental observations have demonstrated interesting instability phenomenon during thermal drawing of microstructured glass/polymer fibers, and these observations motivate us to examine surface-tension-driven instabilities in…

Fluid Dynamics · Physics 2011-08-12 D. S. Deng , J. -C. Nave , X. Liang , S. G. Johnson , Y. Fink

In this work, we extend the model of contact angles that we have previously developed for sessile drops on a wetted surface to the case of a meniscus in a capillary. The underlying physics of our model describe the intermolecular forces…

Fluid Dynamics · Physics 2023-12-20 Leonid Pekker , David Pekker , James Myrick

We consider the unsteady thin-film dynamics of a long bubble of negligible viscosity that advances at a uniform speed in a cylindrical capillary tube. The bubble displaces a viscous, nonwetting fluid, creating a thin film between its…

Fluid Dynamics · Physics 2017-06-14 Naima H. Hammoud , Philippe H. Trinh , Peter D. Howell , Howard A. Stone