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The displacement of a more viscous fluid by a less viscous immiscible fluid in confined geometries is a fundamental problem in multiphase flows. Recent experiments have shown that such fluid-fluid displacement in micro-capillary tubes can…

Fluid Dynamics · Physics 2025-12-01 Sthavishtha R. Bhopalam , Ruben Juanes , Hector Gomez

We study the thermodynamic stability of fluid-fluid phase separation in binary nonadditive mixtures of hard-spheres for moderate size ratios. We are interested in elucidating the role played by small amounts of nonadditivity in determining…

Soft Condensed Matter · Physics 2011-10-25 G. Pellicane , F. Saija , C. Caccamo , P. V. Giaquinta

The depletion potential between two hard spheres in a solvent of thin hard disclike platelets is investigated by using either the Derjaguin approximation or density functional theory. Particular attention is paid to the density dependence…

Soft Condensed Matter · Physics 2009-11-10 L. Harnau , S. Dietrich

We derive a mathematical model for the motion of several insulating rigid bodies through an electrically conducting fluid. Starting from a universal model describing this phenomenon in generality, we elaborate (simplifying) physical…

Mathematical Physics · Physics 2024-02-13 Jan Scherz , Anja Schlömerkemper

The conventional no-slip boundary condition leads to a non-integrable stress singularity at a moving contact line. This makes numerical simulations challenging, especially when capillary effects are essential for the dynamics of the flow.…

Fluid Dynamics · Physics 2017-09-18 Hanna Holmgren , Gunilla Kreiss

This Perspective article provides an overview of some of our analytical approaches to the computation of the structural and thermodynamic properties of single-component and multicomponent hard-sphere fluids. For the structural properties,…

Soft Condensed Matter · Physics 2020-09-28 Andrés Santos , Santos B. Yuste , Mariano López de Haro

Globular proteins as well as recently synthesized colloids engineered with differently charged surface regions have in common a reduced bonding valence and a complex interaction pattern dominated by like-charge attraction and…

Soft Condensed Matter · Physics 2024-02-02 Daniele Notarmuzi , Emanuela Bianchi

We use conformal maps to study a free boundary problem for a two-fluid electromechanical system, where the interface between the fluids is determined by the combined effects of electrostatic forces, gravity and surface tension. The free…

Mathematical Physics · Physics 2015-06-19 Stuart Kent , Shankar C. Venkataramani

An analysis of the toroidal modes of a rotating fluid, by means of the differential equations of motion is not readily tractable. A matrix representation of the equations in a suitable basis, however, simplifies the problem considerably and…

Astrophysics · Physics 2009-11-06 Y. Sobouti , V. Rezania

A computational fluid dynamics (CFD) model is developed to simulate the dynamics of meniscus formation and capillary flow between vertical parallel plates. The arbitrary Lagrangian-Eulerian (ALE) approach was employed to predict and…

Fluid Dynamics · Physics 2020-03-12 Mohammad Naghashnejad , Hamidreza Shabgard

The contact angle of a macroscopic droplet on a heterogeneous but flat substrate is studied using the interface displacement model which can lead to the augmented Young-Laplace equation. Droplets under the condition of constant volume as…

Soft Condensed Matter · Physics 2007-05-23 Masao Iwamatsu

The structural properties of square-shoulder fluids are derived from the use of the rational function approximation method. The computation of both the radial distribution function and the static structure factor involves mostly analytical…

Statistical Mechanics · Physics 2011-03-21 S. B. Yuste , A. Santos , M. López de Haro

We consider capillary surfaces that are constructed by bounded generating curves. This class of surfaces includes radially symmetric and lower dimensional fluid-fluid interfaces. We use the arc-length representation of the differential…

Numerical Analysis · Mathematics 2022-06-22 Ray Treinen

Two related approaches, one fairly recent [A. Trokhymchuk et al., J. Chem. Phys. 123, 024501 (2005)] and the other one introduced fifteen years ago [S. B. Yuste and A. Santos, Phys. Rev. A 43, 5418 (1991)], for the derivation of analytical…

Statistical Mechanics · Physics 2007-05-23 M. Lopez de Haro , A. Santos , S. B. Yuste

The Vertex Model for epithelia models the apical surface of the tissue by a tiling, with polygons representing cells and edges representing cell-cell junctions. The mechanics are described by an energy governed by deviations from a target…

Biological Physics · Physics 2024-10-10 Michael F. Staddon , Carl D. Modes

We consider here a discrete system of spheres interacting through a lubrication force. This force is dissipative, and singular near contact: it behaves like the reciprocal of interparticle distance. We propose a macroscopic constitutive…

Analysis of PDEs · Mathematics 2012-09-06 Aline Lefebvre-Lepot , Bertrand Maury , Aline Lefebvre

We study the Casimir interaction between perfectly conducting sphere and plate in the classical limit of high temperatures. By taking the small-distance expansion of the exact scattering formula, we compute the leading correction to the…

Quantum Physics · Physics 2017-03-15 Giuseppe Bimonte

The capillary condensation for fluids into spherical nano-cavities is analyzed within the frame of two theoretical approaches. One description is based on a widely used simplified version of the droplet model formulated for studying atomic…

Soft Condensed Matter · Physics 2007-05-23 Ignacio Urrutia , Leszek Szybisz

We introduce a topology-preserving discretization for coupling incompressible fluids with thin deformable structures, achieving guaranteed leakproofness through preservation of fluid domain connectivity. Our approach leverages a stitching…

Computational Physics · Physics 2026-02-05 Jonathan Panuelos , Eitan Grinspun , David Levin

Using Brownian dynamics simulations, we systematically study the effective interaction between two parallel hard walls in a 2D suspension of self-propelled (active) colloidal hard spheres, and we find that the effective force between two…

Soft Condensed Matter · Physics 2015-01-14 Ran Ni , Martien A. Cohen Stuart , Peter G. Bolhuis