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Related papers: Capillary Rise in Pipes with Variable Cross Sectio…

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The aim of this study is to derive accurate models for quantities characterizing the dynamics of droplets of non-vanishing viscosity in capillaries. In particular, we propose models for the uniform-film thickness separating the droplet from…

Fluid Dynamics · Physics 2018-07-03 Gioele Balestra , Lailai Zhu , François Gallaire

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

Capillary rise plays a crucial role in the construction of road embankments in flood zones, where hydrophobic compounds are added to the soil to suppress the rising of water and avoid possible damage of the pavement. Water rises through…

Computational Physics · Physics 2017-08-02 M. A. Cárdenas-Barrantes , J. D. Muñoz , N. A. M. Araujo

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

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

When a square tube is brought in contact with bulk liquid, the liquid wets the corners of the tube, and creates finger-like wetted region. The wetting of the liquid then takes place with the growth of two parts, the bulk part where the…

Soft Condensed Matter · Physics 2018-11-28 Tian Yu , Jiajia Zhou , Masao Doi

Computations of the breakup of a liquid bridge are used to establish the limits of applicability of similarity solutions derived for different breakup regimes. These regimes are based on particular viscous-inertial balances, that is…

Fluid Dynamics · Physics 2016-05-18 Yuan Li , James E. Sprittles

A lattice-gas model with heterogeneity is developed for the description of fluid condensation in finite sized one-dimensional pores of arbitrary shape. An exact solution of the model is presented for zero-temperature that reproduces the…

Statistical Mechanics · Physics 2013-08-09 Thomas P. Handford , Francisco J. Perez-Reche , Sergei N. Taraskin

We study the low temperature phase equilibria of a fluid confined in an open capillary slit formed by two parallel walls separated by a distance $L$ which are in contact with a reservoir of gas. The top wall of the capillary is of finite…

Soft Condensed Matter · Physics 2021-11-10 Alexandr Malijevský , Andrew O. Parry

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 gradual fall of the shear viscosity below 2.8K, observed in a liquid helium 4 flowing through a capillary, is examined. The disappearance of the shear viscosity in a capillary flow is a manifestation of superfluidity in dissipative…

Superconductivity · Physics 2007-07-16 Shun-ichiro Koh

Capillary rise occurs when a thin tube contacts a liquid, which rises against gravity due to the capillary force. This phenomenon is present in a wide range of everyday and industrial settings and provides the means to measure the physical…

Soft Condensed Matter · Physics 2026-04-20 Anagha Datar , Joonas Ryssy , Aku O. Toivonen , Matilda Backholm

The capillary flow of a Newtonian and incompressible fluid in an axially symmetric horizontal tube with a non-slowly-varying cross section and a boundary slip is considered theoretically under the assumption that the Reynolds number is…

Fluid Dynamics · Physics 2024-05-07 Masao Iwamatsu

We study the dynamics of capillary filling in tubes of regular polygon cross-section. Using Onsager variational principle, we derive a coupled ordinary differential equation and partial differential equation, which respectively describe…

Fluid Dynamics · Physics 2025-12-15 Chen Zhao , Yu Huang , Tingxuan Chen , Jiaxuan Li , Jiajia Zhou , Masao Doi

Lubrication theory is broadly applicable to the flow characterization of thin fluid films and the motion of particles near surfaces. We offer an extension to lubrication theory by starting with Stokes equations and considering higher-order…

Fluid Dynamics · Physics 2017-01-30 Behrouz Tavakol , Guillaume Froehlicher , Douglas P. Holmes , Howard A. Stone

Wetting of surfaces with porous coating is relevant for a wide variety of technical applications, such as printing technologies and heat transfer enhancement. Imbibition and evaporation of liquids on surfaces covered with porous layers are…

Fluid Dynamics · Physics 2020-09-22 Noemi Ghillani , Michael Heinz , Tatiana Gambaryan-Roisman

Capillary invasion of a liquid into an empty tube, which is called capillary rise when the tube axis is in the vertical direction, is one of the fundamental phenomena representing capillary effects. Usually, the tube is actually filled with…

Fluid Dynamics · Physics 2019-10-08 Julie André , Ko Okumura

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

Fluid Dynamics · Physics 2009-11-13 S. Chibbaro

We employ a simple model to describe the phase behavior of 4He and Ar in a hypothetical porous material consisting of a regular array of infinitely long, solid, parallel cylinders. We find that high porosity geometries exhibit two…

Materials Science · Physics 2009-11-07 S. M. Gatica , M. M. Calbi , M. W. Cole

In this paper, we experimentally quantify and analytically model rate dependent capillary heterogeneity trapping. Capillary heterogeneity trapping enhances non-wetting fluid trapping beyond pore-scale residual trapping through the isolation…

Fluid Dynamics · Physics 2025-11-10 Catrin Harris , Samuel Krevor , Ann H. Muggeridge , Samuel J. Jackson