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Related papers: Energy invariance in capillary systems

200 papers

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

We explore the possibility of modifying the classical Gauss free energy functional used in capillarity theory by considering surface tension energies of nonlocal type. The corresponding variational principles lead to new equilibrium…

Analysis of PDEs · Mathematics 2016-06-29 Francesco Maggi , Enrico Valdinoci

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

One of the most noticeable collective motion of non-cohesive granular matter is clustering under certain conditions. In particular, when a quasi-two-dimensional monolayer of mono-disperse non-cohesive particles is vertically vibrated, a…

Soft Condensed Matter · Physics 2015-06-11 Li-Hua Luu , Gustavo Castillo , Nicolás Mujica , Rodrigo Soto

The equation of motions and the conditions on surfaces and edges between fluids and solids in presence of non-constant surface energies, as in the case of surfactants attached to the fluid particles at the interfaces, are revisited under…

Soft Condensed Matter · Physics 2013-11-06 Henri Gouin

We consider a classical (capillary) model for a one-phase liquid in equilibrium. The liquid (e.g. water) is subject to a volume constraint, it does not mix with the surrounding vapour (e.g. air), it may come into contact with solid supports…

Analysis of PDEs · Mathematics 2021-04-27 Costante Bellettini

We present a detailed analysis of the effective force between two smooth spherical colloids floating at a fluid interface due to deformations of the interface. The results hold in general and are applicable independently of the source of…

Soft Condensed Matter · Physics 2007-05-23 M. Oettel , A. Dominguez , S. Dietrich

The instabilities of fluid interfaces represent both a limitation and an opportunity for the fabrication of small-scale devices. Just as non-uniform capillary pressures can destroy micro-electrical mechanical systems (MEMS), so they can…

Soft Condensed Matter · Physics 2017-12-14 Rodrigo Ledesma-Aguilar , Gianluca Laghezza , Julia M. Yeomans , Dominic Vella

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

An exact description is provided of an almost spherical fluid vesicle with a fixed area and a fixed enclosed volume locally deformed by external normal forces bringing two nearby points on the surface together symmetrically. The conformal…

Soft Condensed Matter · Physics 2013-04-17 Jemal Guven , Pablo Vázquez-Montejo

We cope with a free boundary fluid-structure interaction model. In the model, the viscous incompressible fluid interacts with elastic body via the common boundary. The motion of the fluid is governed by Navier-Stokes equations while the…

Analysis of PDEs · Mathematics 2019-02-19 Yizhao Qin , Pengfei Yao

We study the effective forces acting between colloidal particles trapped at a fluid interface which itself is exposed to a pressure field. To this end we apply what we call the ``force approach'', which relies solely on the condition of…

Soft Condensed Matter · Physics 2008-03-31 Alvaro Dominguez , Martin Oettel , Siegfried Dietrich

We consider a nonlinear, free boundary fluid-structure interaction model in a bounded domain. The viscous incompressible fluid interacts with a nonlinear elastic body on the common boundary via the velocity and stress matching conditions.…

Analysis of PDEs · Mathematics 2018-02-05 Yizhao Qin , Pengfei Yao

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 demonstrate that Multi-Body Dissipative Particle Dynamics (MDPD) can be used as an efficient computational tool for the investigation of nanoscale capillary impregnation of confined geometries. As an essential prerequisite, a novel model…

Soft Condensed Matter · Physics 2007-05-23 C. Cupelli , B. Henrich , M. Moseler , M. Santer

The aim of the present work is to investigate the influence of the realistic model parameters for particle interactions, specifically the spring stiffness coefficient for the tangential force between particles on the energy equipartition in…

Soft Condensed Matter · Physics 2026-05-18 Alok Tiwari , Manaswita Bose , V. Kumaran

Processes of propagation and interaction of nonlinear gravity-capillary waves on the free surface of a deep non-conducting liquid with high dielectric constant under the action of a tangential electric field are numerically simulated. The…

Fluid Dynamics · Physics 2018-10-10 Evgeny A. Kochurin , Nikolay M. Zubarev

The three-phase contact line of a droplet on a smooth surface can be characterized by the Young-Dupr\'e equation. It relates the interfacial energies with the macroscopic contact angle $\theta_e$. On the mesoscale, wettability is modeled by…

Fluid Dynamics · Physics 2018-07-24 Uwe Thiele , Jacco H. Snoeijer , Sarah Trinschek , Karin John

The effective capillary interaction potentials for small colloidal particles trapped at the surface of liquid droplets are calculated analytically. Pair potentials between capillary monopoles and dipoles, corresponding to particles floating…

Soft Condensed Matter · Physics 2015-05-27 J. Guzowski , M. Tasinkevych , S. Dietrich

We study experimentally the influence of dissipation on stationary capillary wave turbulence on the surface of a fluid by changing its viscosity. We observe that the frequency power law scaling of the capillary spectrum departs…

Fluid Dynamics · Physics 2014-02-10 Luc Deike , Michaël Berhanu , Eric Falcon