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We have simulated the motion of a single vertical, two-dimensional liquid bridge spanning the gap between two flat, horizontal solid substrates of given wettabilities, using a multicomponent pseudopotential lattice Boltzmann method. For…

Soft Condensed Matter · Physics 2022-03-02 Rodrigo C. V. Coelho , Luis A. R. G. Cordeiro , Rodrigo B. Gazola , Paulo I. C. Teixeira

The popular demonstration involving a permanent magnet falling through a conducting pipe is treated as an axially symmetric boundary value problem. Specifically, Maxwell's equations are solved for an axially symmetric magnet moving…

Classical Physics · Physics 2009-11-10 M. Hossein Partovi , Eliza J. Morris

Understanding about both the range and the strength of the effective force between two hydrophobic surfaces suspended in water is important in many areas of natural science but unfortunately has remained imperfect. Even the experimental…

Chemical Physics · Physics 2016-08-23 Tuhin Samanta , Saikat Banerjee , Biman Bagchi

Cells and other soft particles are often forced to flow in confined geometries in both laboratory and natural environments, where the elastic deformation induces an additional drag and pressure drop across the particle. In contrast with…

Fluid Dynamics · Physics 2025-07-09 Charles Paul Moore , Hiba Belkadi , Brouna Safi , Gabriel Amselem , Charles N. Baroud

The phase diagram of a fluid confined between a planar and a conical walls modelling the atomic force microscope geometry displays transition between two phases, one with a liquid bridge connecting the two walls of the microscope, and the…

Soft Condensed Matter · Physics 2010-05-14 Filip Dutka , Marek Napiorkowski

When a colloidal suspension is dried, capillary pressure may overwhelm repulsive electrostatic forces, assembling aggregates that are out of thermal equilibrium. This poorly understood process confers cohesive strength to many geological…

Soft Condensed Matter · Physics 2020-03-25 Ali Seiphoori , Xiao-guang Ma , Paulo E. Arratia , Douglas J. Jerolmack

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

We consider a liquid bridge between two identical spheres and provide approximate expressions for the capillary force and the exposed surface area of the liquid bridge as functions of the liquid bridge's total volume and the sphere…

Computational Physics · Physics 2023-10-19 Meysam Bagheri , Sudeshna Roy , Thorsten Pöschel

We study the electromagnetic force exerted on a pair of parallel slab waveguides by the light propagating through them. We have calculated the dependence of the force on the slab separation by means of the Maxwell--Stress tensor formalism…

Optics · Physics 2008-01-10 Francesco Riboli , Alessio Recati , Mauro Antezza , Iacopo Carusotto

We investigate the forces exerted on embedded inclusions by a fluid medium with long-range correlations, described by an effective scalar field theory. Such forces are the basis for the medium-mediated Casimir-like force. To study these…

Soft Condensed Matter · Physics 2011-06-10 Anne-Florence Bitbol , Jean-Baptiste Fournier

Two methods are explained to exactly solve Maxwell's equations where permittivity, permeability and conductivity may vary in space. In the constitutive relations, retardation is regarded. If the material properties depend but on one…

Optics · Physics 2012-08-20 Ulrich Brosa

It is well known that a solid (e.g. wood or rubber) can be put under tensile stress by pulling on it. Once a critical stress is overcome, the solid breaks, leaving an empty space. Similarly, due to internal cohesion, a liquid can withstand…

Soft Condensed Matter · Physics 2026-01-26 Olivier Vincent

The complex behavior of drop deposition on a hydrophobic surface is considered by looking at a model problem in which the evolution of a constant-volume liquid bridge is studied as the bridge is stretched. The bridge is pinned with a fixed…

Soft Condensed Matter · Physics 2017-04-26 Bian Qian , Kenneth S. Breuer

A fluid mechanics problem is solved which technological prototype is a fluid acoustic contact that is an inherent element of ultrasonic non-destructive testing procedures. It is well known that the acoustic contact established with an…

Fluid Dynamics · Physics 2026-03-19 Denis S. Goldobin , Yuriy L. Raikher

Water is necessary both for the evolution of life and its continuance. It possesses particular properties that cannot be found in other materials and that are required for life-giving processes. These properties are brought about by the…

Soft Condensed Matter · Physics 2007-06-13 Martin Chaplin

We study a variant of the well known Maxwell model for viscoelastic fluids, namely we consider the Maxwell fluid with viscosity and relaxation time depending on the pressure. Such a model is relevant for example in modelling behaviour of…

Numerical Analysis · Computer Science 2016-08-14 Satish Karra , Vít Průša , K. R. Rajagopal

The coupled motion is investigated for a mechanical system consisting of water and a body freely floating in it. Water occupies either a half-space or a layer of constant depth into which an infinitely long surface-piercing cylinder is…

Mathematical Physics · Physics 2015-03-10 Nikolay Kuznetsov

We consider a fluid-structure interaction system composed by a rigid ball immersed into a viscous incompressible fluid. The motion of the structure satisfies the Newton laws and the fluid equations are the standard Navier-Stokes system. At…

Analysis of PDEs · Mathematics 2019-12-06 Matthieu Hillairet , Takéo Takahashi

We introduce a new measure for the stability of structures, such as the cross-section of the deck of a suspension bridge, subject to a 2D fluid force, such as the lift exerted by a laminar wind. We consider a wide class of possible flows,…

Analysis of PDEs · Mathematics 2024-04-09 Edoardo Bocchi , Filippo Gazzola

A microfluidic device is constructed from PDMS with a single channel having a short section that is a thin flexible membrane, in order to investigate the complex fluid-structure interaction that arises between a flowing fluid and a…

Soft Condensed Matter · Physics 2020-07-03 Debadi Chakraborty , J. Ravi Prakash , Leslie Yeo , James Friend