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The two-phase horizontally periodic quasistationary Stokes flow in $\mathbb{R}^2$, describing the motion of two immiscible fluids with equal viscosities that are separated by a sharp interface, which is parameterized as the graph of a…

Analysis of PDEs · Mathematics 2024-06-12 Daniel Böhme , Bogdan-Vasile Matioc

We consider a suspension of active rigid particles (swimmers) in a steady Stokes flow, where particles are distributed according to a stationary ergodic random process, and we study its homogenization in the macroscopic limit. A key point…

Analysis of PDEs · Mathematics 2023-03-15 Armand Bernou , Mitia Duerinckx , Antoine Gloria

Coalescence of micrometer-scale droplets is impacted by several parameters, including droplet size, viscosities of the two phases, droplet velocity and angle of approach, as well as interfacial tension and surfactant coverage. The dynamics…

Inspired by numerous lab on a chip, biomedical and bioengineering applications such as cell sorting, focusing, trapping, and filtering of particles, manipulation of micron sized particle trajectories has been of significant interest in the…

Fluid Dynamics · Physics 2026-03-18 Partha Kumar Das

Fluid and solute transfer in X-junctions between straight channels is shown to depend critically on the junction angle in the Stokes flow regime. Experimentally, water and a water-dye solution are injected at equal flow rates in two facing…

Fluid Dynamics · Physics 2015-06-04 Mario Cachile , Laurent Talon , Juan M. Gomba , Jean-Pierre Hulin , Harold Auradou

Wetting of liquid droplets on passive surfaces is ubiquitous in our daily lives, and the governing physical laws are well-understood. When surfaces become active, however, the governing laws of wetting remain elusive. Here we propose…

Soft Condensed Matter · Physics 2023-12-13 Susanne Liese , Xueping Zhao , Christoph A. Weber , Frank Jülicher

A popular method to induce synthetic propulsion at the microscale is to use the forces created by surface-produced gas bubbles inside the asymmetric body of a catalytic swimmer (referred to in the literature as microrocket). Gas bubbles…

Fluid Dynamics · Physics 2018-03-29 Giacomo Gallino , Francois Gallaire , Eric Lauga , Sebastien Michelin

This paper describes the results of our theoretical and numerical studies of hydrodynamic interactions in a suspension of spherical particles confined between two parallel planar walls, under creeping-flow conditions. We propose a novel…

Soft Condensed Matter · Physics 2009-11-11 S. Bhattacharya , J. Blawzdziewicz , E. Wajnryb

The mechanism of hydrodynamics-induced pairing of soft particles, namely closed bilayer membranes (vesicles, a model system for red blood cells) and drops, is studied numerically with a special attention paid to the role of the confinement…

In periodic wave motion, particles beneath the wave undergo a drift in the direction of wave propagation, a phenomenon known as Stokes drift. While extensive research has been conducted on Stokes drift in water wave flows, its counterpart…

Fluid Dynamics · Physics 2025-07-18 Luiz P. Palacio , Marcelo V. Flamarion , Tao Gao , Roberto Ribeiro-Jr

Internal phoretic flows due to the interactions of solid boundaries with local chemical gradients may be created using chemical patterning. Alternatively, we demonstrate here that internal flows might also be induced by geometric…

Fluid Dynamics · Physics 2016-10-19 Maciej Lisicki , Sebastien Michelin , Eric Lauga

The effect of interfacial slip on steady-state and time-periodic flows of monatomic liquids is investigated using non-equilibrium molecular dynamics simulations. The fluid phase is confined between atomically smooth rigid walls, and the…

Soft Condensed Matter · Physics 2013-01-22 Nikolai V. Priezjev

The unsteady hydrodynamic drag exerted on an oscillating sphere near a planar wall is addressed experimentally, theoretically, and numerically. The experiments are performed by using colloidal-probe Atomic Force Microscopy (AFM) in thermal…

We investigate pump-driven droplet electrohydrodynamics with an emphasis on deformation, pinch-off, and recoalescence. A thermodynamically consistent phase-field framework is developed that couples Nernst--Planck--Poisson electrodiffusion…

Fluid Dynamics · Physics 2025-09-15 Yuzhe Qin , Huaxiong Huang , Zilong Song , Shixin Xu

Granular flows in a narrow pipe are studied numerically by the model taking account of hydrodynamic effects of fluid surrounding particles. In the simulations density waves are observed over the wide range of the Stokes number, which…

adap-org · Physics 2012-08-29 Kengo Ichiki

Active proteins and membrane-bound motors exert force dipole flows along fluid interfaces and lipid bilayers. We develop a Hamiltonian framework for the interactions of pusher and puller dipoles embedded in an incompressible two-dimensional…

Soft Condensed Matter · Physics 2026-04-27 Sneha Krishnan , Rickmoy Samanta

An isolated charge-neutral drop suspended in an unbounded medium does not migrate in a uniform DC electric field. A nearby wall breaks the symmetry and causes the drop to drift towards or away from the boundary, depending on the electric…

Fluid Dynamics · Physics 2025-04-25 Diptendu Sen , Mohammadhossein Firouznia , David Saintillan , Petia M. Vlahovska

The electro-hydrodynamics near conducting walls is revisited. Attention is focused on the impact of an explicit diffuse Stern layer, which permittivity and viscosity differ from the bulk values, on the velocity of an electro-osmotic plug…

Fluid Dynamics · Physics 2025-08-12 Evgeny S. Asmolov , Elena F. Silkina , Olga I. Vinogradova

We study hydrodynamic interactions of spherical particles in incident Poiseuille flow in a channel with infinite planar walls. The particles are suspended in a Newtonian fluid, and creeping-flow conditions are assumed. Numerical results,…

Soft Condensed Matter · Physics 2009-11-11 S. Bhattacharya , J. Blawzdziewicz , E. Wajnryb

Fluid flow along microchannels can be induced by keeping opposite walls at different temperatures, and placing elongated tilted pillars inside the channel. The driving force for this fluid motion arises from the anisotropic thermophoretic…

Soft Condensed Matter · Physics 2019-05-07 Zihan Tan , Mingcheng Yang , Marisol Ripoll