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We study immiscible two-phase flow of a compressible and an incompressible fluid inside a capillary tube of varying radius under steady-state conditions. The incompressible fluid is Newtonian and the compressible fluid is an inviscid ideal…

Fluid Dynamics · Physics 2022-07-22 Hyejeong L. Cheon , Hursanay Fyhn , Alex Hansen , Øivind Wilhelmsen , Santanu Sinha

An accurate experimental and theoretical study has been performed about a phenomenon, not previously reported in the literature, occurring in highly viscous liquids: the formation of a definite pipe structure induced by the passage of a…

Soft Condensed Matter · Physics 2013-07-10 V. Capano , S. Esposito , G. Salesi

When two solid surfaces are brought in contact, water vapor present in the ambient air may condense in the region of the contact to form a liquid bridge connecting the two surfaces : this is the so-called capillary condensation. This…

Soft Condensed Matter · Physics 2007-05-23 F. Restagno , L. Bocquet , J. Crassous , E. Charlaix

We present a systematic study of capillary filling for a binary fluid by using mesoscopic a lattice Boltzmann model describing a diffusive interface moving at a given contact angle with respect to the walls. We compare the numerical results…

Cellular Automata and Lattice Gases · Physics 2008-01-29 S. Chibbaro , L. Biferale , F. Diotallevi , S. Succi

We consider theoretically liquid rise against gravity in capillaries with height-dependent cross-section. For a conical capillary made from a hydrophobic surface and dipped in a liquid reservoir, the equilibrium liquid height depends on the…

Soft Condensed Matter · Physics 2007-05-23 Yoav Tsori

Bundle-of-tubes model was previously used to understand the flow behaviour in a porous medium. The interacting nature of the pores within a porous medium can be well depicted by an interacting capillary model. However, the arrangement of…

Fluid Dynamics · Physics 2020-12-22 Shabina Ashraf , Yves Méheust , Jyoti Phirani

The shear-driven drainage of capillary grooves filled with viscous liquid is a dynamic wetting phenomenon relevant to numerous industrial processes and novel lubricant-infused surfaces. Prior work has reported that a finite length…

Soft Condensed Matter · Physics 2016-10-19 Carlos E. Colosqui , Jason S. Wexler , Ying Liu , Howard A. Stone

This work revisits capillary filling dynamics in the regime of nanometric to subnanometric channels. Using molecular dynamics simulations of water in carbon nanotubes, we show that for tube radii below one nanometer, both the filling…

Fluid Dynamics · Physics 2016-03-28 Simon Gravelle , Christophe Ybert , Lydéric Bocquet , Laurent Joly

In this paper we re-examine the flow produced by the normal impact of a laminar liquid jet onto an infinite plane when the flow is dominated by surface tension. It is observed experimentally that after impact the liquid spreads radially…

Fluid Dynamics · Physics 2020-04-02 Rajesh Kumar Bhagat , Paul F. Linden

This paper presents a theoretical analysis of the liquid film dynamics during the oscillation of a meniscus between a liquid and its vapour in a cylindrical capillary. By using the theory of Taylor bubbles, the dynamic profile of the…

Fluid Dynamics · Physics 2021-08-04 Xiaolong Zhang , Vadim Nikolayev

We report and rationalize the observation of a crossover from the classical Lucas-Washburn dynamics to a long-lived anomalously slow regime for capillary rise in simple glass tubes. We propose an analytical model considering the role of…

Soft Condensed Matter · Physics 2024-01-09 Menghua Zhao , Aktaruzzaman Al Hossain , Carlos E. Colosqui , Matthieu Roché

Capillary energy barriers have important consequences for immiscible fluid flow in porous media. We derive time-and-space averaging theory to account for non-equilibrium behavior and understand the role of athermal capillary fluctuations in…

Fluid Dynamics · Physics 2021-09-01 James E. McClure , Steffen Berg , Ryan T. Armstrong

In this paper, we investigate both experimentally and theoretically the dynamics of a liquid plug driven by a cyclic periodic forcing inside a cylindrical rigid capillary tube. First, it is shown that depending on the type of forcing (flow…

Fluid Dynamics · Physics 2018-02-14 S Signe Mamba , J C Magniez , F Zoueshtiagh , M Baudoin , S Mamba

Two cylinders rotating next to each other generate a large hydrodynamic force if the intermediate space is filled with a viscous fluid. Herein, we explore the case where the cylinders are separated by two layers of viscous immiscible…

Soft Condensed Matter · Physics 2024-03-29 Aditya Jha , Yacine Amarouchene , Thomas Salez

We numerically study two-component capillary bridges formed when a liquid droplet is placed in between two liquid infused surfaces (LIS). In contrast to commonly studied one-component capillary bridges on non-infused solid surfaces,…

Computational Physics · Physics 2020-12-17 Alvin C. M. Shek , Ciro Semprebon , Jack R. Panter , Halim Kusumaatmaja

We investigate the dynamics of capillary filling using two lattice Boltzmann schemes: a liquid-gas model and a binary model. The simulation results are compared to the well-known Washburn's law, which predicts that the filled length of the…

Fluid Dynamics · Physics 2009-11-04 C. M. Pooley , H. Kusumaatmaja , J. M. Yeomans

Under ambient humidity, water spontaneously condenses in pores only a few nanometers in size, making nanoscale capillarity central to numerous natural phenomena and technological applications. At these dimensions, water may no longer be…

Mesoscale and Nanoscale Physics · Physics 2026-04-10 Mingwei Chen , Jingshan Wang , Artem Mishchenko , Ivan Timokhin , Fengchao Wang , Andre K. Geim , Qian Yang

We report on the capillary-driven levelling of a topographical perturbation at the surface of a free-standing liquid nanofilm. The width of a stepped surface profile is found to evolve as the square root of time. The hydrodynamic model is…

Aqueous capillary liquid bridges are ubiquitous in nature and in technological processes. Here, we comparatively investigate capillary bridges formed between three distinct types of surfaces: (i) hydrophilic glass, (ii) hydrophobic…

Soft Condensed Matter · Physics 2026-01-05 Sarah Jane Goodband , Ke Sun , Kislon Voïtchovsky , Halim Kusumaatmaja

Traditional approaches to mathematically describe spontaneous imbibition are usually based on either macro-scale models, such as Richards equation, or simplified pore-scale models, such as the bundle of capillary tubes (BCTM) or…

Fluid Dynamics · Physics 2024-08-07 Luka Malenica , Zhidong Zhang , Ueli Angst