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Meniscus oscillations at interfaces between liquids, solids, and air significantly impact fluid dynamics and control. While idealized models exist, experimental data on capillary-gravity wave scattering involving meniscus effects remain…

Fluid Dynamics · Physics 2026-01-21 Zhengwu Wang , Guoqin Liu , Likun Zhang

We study the forced displacement of a fluid-fluid interface in a three-dimensional channel formed by two parallel solid plates. Using a Lattice-Boltzmann method, we study situations in which a slip velocity arises from diffusion effects…

Fluid Dynamics · Physics 2009-11-13 R. Ledesma-Aguilar , A. Hernandez-Machado , I. Pagonabarraga

Capillarity-driven self-assembly at fluidic interfaces offers a scalable route to large, reconfigurable materials. Microscale particles with high horizontal-to-vertical aspect ratios become attractive building blocks for shape-directed…

Soft Condensed Matter · Physics 2026-05-27 Sungwan Park , Justin Jeongwoo Choi , Albert Tianxiang Liu

A computational fluid dynamics (CFD) model is developed to simulate the dynamics of meniscus formation and capillary flow between vertical parallel plates. The arbitrary Lagrangian-Eulerian (ALE) approach was employed to predict and…

Fluid Dynamics · Physics 2020-03-12 Mohammad Naghashnejad , Hamidreza Shabgard

We present a semi-analytical theory for the acoustic fields and particle-trapping forces in a viscous fluid inside a capillary tube with arbitrary cross section and ultrasound actuation at the walls. We find that the acoustic fields vary…

Fluid Dynamics · Physics 2020-02-26 Jacob S. Bach , Henrik Bruus

This study proposes a new fundamental formula that describes in a more coherent way, the rise and fall of liquids in capillaries. The variation of the contact angle classically associated with these phenomena appears to be the indirect…

Soft Condensed Matter · Physics 2024-12-11 Noureddine Djama

The propagation and roughening of a fluid-gas interface through a disordered medium in the case of capillary driven spontaneous imbibition is considered. The system is described by a conserved (model B) phase-field model, with the structure…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Dube , M. Rost , K. R. Elder , M. Alava , S. Majaniemi , T. Ala-Nissila

Imbibition phenomena have been widely used experimentally and theoretically to study the kinetic roughening of interfaces. We critically discuss the existing experiments and some associated theoretical approaches on the scaling properties…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Dube , M. Rost , M. Alava

In the context of Landau theory and its field theoretical refinements, interfaces between coexisting phases are described by intrinsic profiles. These intrinsic interface profiles, however, are neither directly accessible by experiment nor…

Statistical Mechanics · Physics 2010-12-23 Melanie Müller , Gernot Münster

Molecular dynamics simulations are used to study capillary adhesion from a nanometer scale liquid bridge between two parallel flat solid surfaces. The capillary force and the meniscus shape of the bridge are computed as the separation…

Soft Condensed Matter · Physics 2016-08-19 Shengfeng Cheng , Mark O. Robbins

We show that condensation in a capped capillary slit is a continuous interfacial critical phenomenon, related intimately to several other surface phase transitions. In three dimensions (3d), the adsorption and desorption branches correspond…

Statistical Mechanics · Physics 2007-05-23 A. O. Parry , C. Rascon , N. B. Wilding , R. Evans

Thermally excited capillary waves at fluid interfaces in binary liquid mixtures exhibit simultaneously both density and composition fluctuations. Based on a density functional theory for inhomogeneous binary liquid mixtures we derive an…

Soft Condensed Matter · Physics 2009-11-11 Thorsten Hiester , S. Dietrich , Klaus Mecke

We review a recent asymptotic weak noise approach to the Kardar-Parisi-Zhang equation for the kinetic growth of an interface in higher dimensions. The weak noise approach provides a many body picture of a growing interface in terms of a…

Statistical Mechanics · Physics 2009-11-13 Hans C. Fogedby

We find analytical solutions to the Cahn-Hilliard equation for the dynamics of an interface in a system with a conserved order parameter (Model B). We show that, although steady-state solutions of Model B are unphysical in the far-field,…

Soft Condensed Matter · Physics 2009-10-30 R. M. L. Evans , M. E. Cates

We study the dynamics of capillary rising in corners. Using Onsager principle, we derive a partial differential equation that describes the time evolution of meniscus profile. We obtain both numerical solutions and self-similar solutions to…

Soft Condensed Matter · Physics 2025-12-18 Jiajia Zhou , Masao Doi

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

The dynamics of capillary rise under different geometric and fluid conditions have the common signatures of rapid rise followed by an equilibrium state that describe the underlying competing forces. We present a new interpretation of…

Fluid Dynamics · Physics 2024-11-26 Aniruddha Saha , Sadaf Sobhani

Motivated by observations of saturation overshoot, this paper investigates numerical modeling of two-phase flow incorporating dynamic capillary pressure. The effects of the dynamic capillary coefficient, the infiltrating flux rate and the…

Numerical Analysis · Mathematics 2017-06-28 Hong Zhang , Paul Andries Zegeling

We discuss the behavior of bounded slope quenched noise invasion models in high dimensions. We first observe that the roughness of such a steady state interface is generated by the combination of the roughness of the invasion process…

Condensed Matter · Physics 2008-02-03 Omri Gat , Zeev Olami

Understandings heat transfer across a solid/liquid interface is important to develop new pathways to improve thermal management in various energy applications. One of the important questions that arises in this context is the impact of…