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We present a parametric study of the unsteady phenomena associated with the flow of elongated gas bubbles travelling through liquid-filled square capillaries under high Weber number conditions. These conditions consistently induce the…

Fluid Dynamics · Physics 2022-12-26 Paula Pico , Lyes Kahouadji , Seungwon Shin , Jalel Chergui , Damir Juric , Omar K. Matar

We observe capillary-driven binding between thin, equilateral triangular prisms at a flat air-water interface. The edge length of the equilateral triangle face is 120 $\mu m$, and the thickness of the prism is varied between 2 and 20 $\mu…

Soft Condensed Matter · Physics 2018-08-07 Joseph A. Ferrar , Deshpreet S. Bedi , Shangnan Zhou , Peijun Zhu , Xiaoming Mao , Michael J. Solomon

We consider the influence of quenched noise upon interface dynamics in 2D and 3D capillary rise with rough walls by using phase-field approach, where the local conservation of mass in the bulk is explicitly included. In the 2D case the…

Disordered Systems and Neural Networks · Physics 2009-11-11 T. Laurila , C. Tong , S. Majaniemi , T. Ala-Nissila

We study the pinning transition in a (1+1)-dimensional lattice model of a fluctuating interface interacting with a corrugated impenetrable wall. The interface is modeled as an $N$-step directed one-dimensional random walk on the half-line…

Statistical Mechanics · Physics 2026-01-06 Ruijie Xu , Sergei Nechaev

We have simulated the temporal evolution of pressure due to capillary and viscous forces in two-phase drainage in porous media. We analyze our result in light of macroscopic flow equations for two-phase flow. We also investigate the effect…

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

In this paper we consider a degenerate pseudoparabolic equation for the wetting saturation of an unsaturated two-phase flow in porous media with dynamic capillary pressure-saturation relationship where the relaxation parameter depends on…

Analysis of PDEs · Mathematics 2018-01-08 Josipa-Pina Milišić

Deformation of a fluid interface caused by the presence of objects at the interface can lead to large lateral forces between the objects. We explore these fluid-mediated attractive force between partially submerged vertical cylinders.…

Soft Condensed Matter · Physics 2014-12-04 Jennifer M. Rieser , P. E. Arratia , A. G. Yodh , J. P. Gollub , D. J. Durian

We report on the residence times of capillary waves above a given height $h$ and on the typical waiting time in between such fluctuations. The measurements were made on phase separated colloid-polymer systems by laser scanning confocal…

Reaction fronts evolving in a porous medium exhibit a rich dynamical behaviour. In presence of an adverse flow, experiments show that the front slows down and eventually gets pinned, displaying a particular sawtooth shape. Extensive…

Disordered Systems and Neural Networks · Physics 2016-10-28 Thomas Gueudré , Awadhesh Kumar Dubey , Laurent Talon , Alberto Rosso

The motion of a long gas bubble in a confined capillary tube is ubiquitous in a wide range of engineering and biological applications. While the understanding of the deposited thin viscous film near the tube wall in Newtonian fluids is well…

Fluid Dynamics · Physics 2022-12-21 SungGyu Chun , Bingqiang Ji , Zhengyu Yang , Vinit Kumar Malik , Jie Feng

A fundamental step in the rational design of vascular targeted particles is the firm adhesion at the blood vessel walls. Here, a combined Lattice Boltzmann Immersed Boundary model is presented for predicting the near wall dynamics of…

Fluid Dynamics · Physics 2018-08-07 A. Coclite , H. Mollica , S. Ranaldo , G. Pascazio , M. D. De Tullio , P. Decuzzi

When a mixture is confined, one of the phases can condense out. This condensate, which is otherwise metastable in the bulk, is stabilized by the presence of surfaces. In a sphere-plane geometry, routinely used in atomic force microscope…

Soft Condensed Matter · Physics 2007-05-23 D. Andrienko , P. Patricio , O. I. Vinogradova

The gravity-capillary problem with inclined walls is a problem that describes an open fluid flowing over an angled wall. It has broad applications in science and engineering. In this paper, we study the steady states of the two-dimensional…

Analysis of PDEs · Mathematics 2026-02-16 Xiaoding Yang

We investigate the effective rheology of two-phase flow in a bundle of parallel capillary tubes carrying two immiscible fluids under an external pressure drop. The diameter of each tube varies along its length and the corresponding…

Fluid Dynamics · Physics 2019-09-04 Subhadeep Roy , Alex Hansen , Santanu Sinha

A partially miscible binary liquid mixture, composed of A and B particles, is considered theoretically under conditions for which a stable A-rich liquid phase is in thermal equilibrium with the vapor phase. The B-rich liquid is metastable.…

Soft Condensed Matter · Physics 2021-04-28 Hyojeong Kim , Lothar Schimmele , S. Dietrich

The analysis of wave patterns in a structure which possesses periodicity in the spatial and temporal dimensions is presented. The topic of imperfect chiral interfaces is also considered. Although causality is fundamental for physical…

Analysis of PDEs · Mathematics 2022-08-10 A. B. Movchan , N. V. Movchan , I. S. Jones , G. W. Milton , H. -M. Nguyen

We experimentally investigate the dynamics of capillary-driven flows at the nanoscale, using an original platform that combines nanoscale pores and microfluidic features. Our results show a coherent picture across multiple experiments…

Soft Condensed Matter · Physics 2015-10-05 Olivier Vincent , Alexandre Szenicer , Abraham D. Stroock

The flow in a Hele-Shaw cell with a time-increasing gap poses a unique shrinking interface problem. When the upper plate of the cell is lifted perpendicularly at a prescribed speed, the exterior less viscous fluid penetrates the interior…

Fluid Dynamics · Physics 2021-01-20 Meng Zhao , Zahra Niroobakhsh , John Lowengrub , Shuwang Li

We study experimentally the dynamics and statistics of capillary waves forced by random steep gravity waves mechanically generated in laboratory. Capillary waves are produced here by gravity waves from nonlinear wave interactions. Using a…

Fluid Dynamics · Physics 2018-08-01 Michael Berhanu , Eric Falcon , Luc Deike

We investigate Lighthill's proposed turbulent mechanism for near-wall concentration of spanwise vorticity by calculating mean flows conditioned on motion away from or toward the wall in an $Re_\tau=1000$ database of plane-parallel channel…

Fluid Dynamics · Physics 2025-09-10 Samvit Kumar , Simon Toedtli , Tamer A. Zaki , Gregory Eyink