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A model has been developed to describe the collision and possible coalescence of two driven deformable drops in the Hele-Shaw cell. The interdependence between hydrodynamic effects and interfacial deformations is characterised by a film…

Soft Condensed Matter · Physics 2009-12-31 Derek Y. C. Chan , Evert Klaseboer , Rogerio Manica

Droplet migration in a Hele--Shaw cell is a fundamental multiphase flow problem which is crucial for many microfluidics applications. We focus on the regime at low capillary number and three-dimensional direct numerical simulations are…

Fluid Dynamics · Physics 2016-06-22 Yue Ling , Jose-Maria Fullana , Stéphane Popinet , Christophe Josserand

We experimentally study the jamming of quasi-two-dimensional emulsions. Our experiments consist of oil-in-water emulsion droplets confined between two parallel plates. From the droplet outlines, we can determine the forces between every…

Soft Condensed Matter · Physics 2013-02-28 Kenneth W. Desmond , Pearl J. Young , Dandan Chen , Eric R. Weeks

In this review article, we discuss recent studies on drops and bubbles in Hele-Shaw cells, focusing on how scaling laws exhibit crossovers from the three-dimensional counterparts and focusing on topics in which viscosity plays an important…

Soft Condensed Matter · Physics 2017-07-20 Ko Okumura

The precise encapsulation of deformable particles in multiphase flows involves complex transient Fluid-Structure Interactions (FSI) and topological interfacial changes. In the context of single-cell analysis, a numerical framework that…

Fluid Dynamics · Physics 2026-03-18 Andi Liu , Guohui Hu

Collision of two dispersed drops in the matrix of suspending liquid is the first step toward coalescence. However, to quantify the rate of coalescence, the configuration of the collision should be definable and the force that induces the…

Fluid Dynamics · Physics 2023-03-10 Aysan Razzaghi , Arun Ramachandran

This paper considers the interaction between two droplets placed on a substrate in immediate vicinity. We show here that when the two droplets are of different fluids and especially when one of the droplet is highly volatile, a wealth of…

Fluid Dynamics · Physics 2015-06-11 Mathieu Sellier , Volker Nock , Cécile Gaubert , Claude Verdier

We study microfluidic self digitization in Hele-Shaw cells using pancake droplets anchored to surface tension traps. We show that above a critical flow rate, large anchored droplets break up to form two daughter droplets, one of which…

Fluid Dynamics · Physics 2015-04-08 Gabriel Amselem , P. T. Brun , François Gallaire , Charles N. Baroud

We propose a numerical approach to study the mechanics of a flowing bubble in a constraint micro channel. Using an open source two phase flow solver (Gerris, gfs.sourceforge.net) we compute solutions of the bubble dynamics (i.e. shape and…

Fluid Dynamics · Physics 2015-07-16 Jose-Maria Fullana , Yue Ling , Stéphane Popinet , Christophe Josserand

In this paper we numerically investigate the breakup dynamics of droplets in an emulsion flowing in a tapered microchannel with a narrow constriction. The mesoscale approach for multicomponent fluids with near contact interactions is shown…

In this paper we present a comprehensive study of the step-emulsification process for high-throughput production of (sub-)$\mu$m-size monodisperse droplets. The microfluidic device combines a Hele-Shaw nanofluidic cell with a step-like…

Fluid Dynamics · Physics 2014-05-15 Z. Li , A. M. Leshansky , L. M. Pismen , P. Tabeling

We study both experimentally and theoretically the descending motion due to gravity of a fluid drop surrounded by another immiscible fluid in a confined space between two parallel plates, i.e., in the Hele-Shaw cell. As a result, we show a…

Fluid Dynamics · Physics 2016-09-01 Misato Yahashi , Natsuki Kimoto , Ko Okumura

This paper explores the friction forces encountered by droplets on non-wetting surfaces, specifically focusing on superhydrophobic and superheated substrates. Employing a combination of experimental techniques, including inclined plane…

We report on experiments that consist in deforming a collection of monodisperse droplets produced by a microfluidic chip through a flow-focusing device. We show that a proper numerical modelling of the flow is necessary to access the stress…

Soft Condensed Matter · Physics 2018-05-23 Corentin Trégouët , Thomas Salez , Cécile Monteux , Mathilde Reyssat

The present study deals with the numerical as well as asymptotic analysis of the electrohydrodynamic interaction between two deformable droplets in a confined shear flow. Considering both the phases as leaky dielectric, we have performed…

Fluid Dynamics · Physics 2019-03-27 Somnath Santra , Diptendu Sen , Sayan Das , Suman Chakraborty

We present a microfluidic platform for two-dimensional manipulation of water droplets immersed in bulk oil-based ferrofluid. Although non-magnetic, the droplets are exclusively controlled by magnetic fields, without any pressure-driven…

Fluid Dynamics · Physics 2017-12-05 Georgios Katsikis , Alexandre Breant , Anatoly Rinberg , Manu Prakash

Droplets form a cornerstone of the spatiotemporal organization of biomolecules in cells. These droplets are controlled using physical processes like chemical reactions and imposed gradients, which are costly to simulate using traditional…

Soft Condensed Matter · Physics 2022-06-23 Ajinkya Kulkarni , Estefania Vidal-Henriquez , David Zwicker

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

One-dimensional numerical simulations based on hybrid Eulerian-Lagrangian method are performed to study the interactions between propagating shocks and dispersed evaporating water droplets. Two-way coupling for exchanges of mass, momentum,…

Fluid Dynamics · Physics 2021-03-22 Zhiwei Huang , Huangwei Zhang

We study the dynamics of two air bubbles driven by the motion of a suspending viscous fluid in a Hele-Shaw channel with a small elevation along its centreline via physical experiment and numerical simulation of a depth-averaged model. For a…

Fluid Dynamics · Physics 2022-08-24 J. S. Keeler , A. Gaillard , J. Lawless , A. B. Thompson , A. Juel , A. Hazel
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