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We present a mesoscale representation of near-contact interactions between colliding droplets which permits to reach up to the scale of full microfluidic devices, where such droplets are produced. The method is demonstrated for the case of…

Computational Physics · Physics 2020-06-23 Andrea Montessori , Marco Lauricella , Adriano Tiribocchi , Sauro Succi

We propose and analyze unfitted finite element approximations for the two-phase incompressible Navier--Stokes flow in an axisymmetric setting. The discretized schemes are based on an Eulerian weak formulation for the Navier--Stokes equation…

Numerical Analysis · Mathematics 2023-09-12 Harald Garcke , Robert Nürnberg , Quan Zhao

A translation invariant one-dimensional system of spinless fermions with a finite-range attraction experiences a quantum phase transition to a phase-separated state. While being a conventional Luttinger liquid for a small interaction…

Quantum Gases · Physics 2018-12-12 Vera V. Vyborova , Oleg Lychkovskiy , Alexey N. Rubtsov

We consider two dimensional dispersions of droplets of isotropic phase in a liquid with an XY-like order parameter, tilt, nematic, and hexatic symmetries being included. Strong anchoring boundary conditions are assumed. Textures for a…

Soft Condensed Matter · Physics 2008-07-06 K. S. Korolev , David R. Nelson

The collisional dynamics of two symmetric droplets with equal intraspecies scattering lengths and particle number density for each component is studied by solving the corresponding extended Gross-Pitaevskii equation in two dimensions by…

Quantum Gases · Physics 2024-05-01 Yanming Hu , Yifan Fei , Xiao-Long Chen , Yunbo Zhang

The motion of the three-phase contact line between two immiscible fluids and a solid surface arises in a variety of wetting phenomena and technological applications. One challenge in continuum theory is the effective representation of…

Particle beams are important tools for probing atomic and molecular interactions. Here we demonstrate that particle beams also offer a unique opportunity to investigate interactions in macroscopic systems, such as granular media. Motivated…

Soft Condensed Matter · Physics 2015-05-19 Scott R. Waitukaitis , Helge F. Gruetjen , John R. Royer , Heinrich M. Jaeger

The large deformations and break up of circular 2D liquid patches in a high Reynolds number (Re=1000) gas flow are investigated numerically. The 2D, plane flow Navier--Stokes equations are directly solved with explicit tracking of the…

chao-dyn · Physics 2009-10-28 S. Zaleski , Jie Li , S. Succi

Droplet-based microfluidics has emerged as a powerful technology for the miniaturization and automation of biochemical assays. The replacement of surfactants by nanoparticles as interfacial stabilizers has gained increasing interest.…

Soft Condensed Matter · Physics 2019-06-21 Laura Andreina Chacon Orellana , Jean-Christophe Baret

Dewetting of thin liquid films is monitored in situ by atomic force microscopy, results are compared with simulations. The experimental setting is mimicked as close as possible using the experimental parameters including the effective…

Soft Condensed Matter · Physics 2007-05-23 Jürgen Becker , Günther Grün , Ralf Seemann , Karin Jacobs

We examine the shape of droplets atop deformable thin elastomeric films prepared with an anisotropic tension. As the droplets generate a deformation in the taut film through capillary forces, they assume a shape that is elongated along the…

Soft Condensed Matter · Physics 2017-05-17 Rafael D. Schulman , René Ledesma-Alonso , Thomas Salez , Elie Raphaël , Kari Dalnoki-Veress

We investigate the evaporation of a two-dimensional droplet on a solid surface. The solid is flat but with smooth chemical variations that lead to a space-dependent local contact angle. We perform a detailed bifurcation analysis of the…

Fluid Dynamics · Physics 2021-03-31 Michael Ewetola , Rodrigo Ledesma-Aguilar , Marc Pradas

(Abbreviated) In this paper we report on the development of a multiscale method for simulating complex liquid-liquid systems such as water in contact with oil containing asphaltenes. We consider simulations where water drops covered with…

Dripping, jetting and tip streaming have been studied up to a certain point separately by both fluid mechanics and microfluidics communities, the former focusing on fundamental aspects while the latter on applications. Here, we intend to…

Fluid Dynamics · Physics 2020-06-22 Jose M. Montanero , Alfonso M. Ganan-Calvo

We present a molecular dynamics study of the motion of cylindrical polymer droplets on striped surfaces. We first consider the equilibrium properties of droplets on different surfaces, we show that for small stripes the Cassie-Baxter…

Soft Condensed Matter · Physics 2019-08-28 Ozlem Ozturk , James Servantie

The deformation and break-up of Newtonian/viscoelastic droplets are studied in confined shear flow. Our numerical approach is based on a combination of Lattice-Boltzmann models (LBM) and finite difference schemes, the former used to model…

Soft Condensed Matter · Physics 2016-11-15 A. Gupta , M. Sbragaglia

We consider the dynamics of thin two-dimensional viscous droplets on chemically heterogeneous surfaces moving under the combined effects of slip, mass transfer and capillarity. The resulting long-wave evolution equation for the droplet…

Fluid Dynamics · Physics 2021-12-20 Danny Groves , Nikos Savva

A new method for the creation of 3D solitary topological modes, corresponding to vortical droplets of a two-component dilute superfluid, is presented. We use the recently introduced system of nonlinearly coupled Gross-Pitaevskii equations,…

Quantum Gases · Physics 2018-07-18 Yaroslav V. Kartashov , Boris A. Malomed , Leticia Tarruell , Lluis Torner

A novel simulation framework has been developed in this study for the direct numerical simulation of the aerodynamic breakup of a vaporizing drop. The interfacial multiphase flow with phase change is resolved using a consistent geometric…

Fluid Dynamics · Physics 2023-05-10 Bradley Boyd , Yue Ling

We introduce a solvable Lagrangian model for droplet bouncing. The model predicts that, for an axisymmetric drop, the contact time decreases to a constant value with increasing Weber number, in qualitative agreement with experiments,…

Fluid Dynamics · Physics 2017-02-08 Matthew Andrew , Julia M. Yeomans , Dmitri O. Pushkin