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In this paper is described a numerical scheme that is used to simulate the coalescence process between clusters of water drops immersed in a continuous hydrocarbon phase (n-heptane). Two different values for the initial velocity of the…

Soft Condensed Matter · Physics 2017-07-10 Alejandro Acevedo-Malavé

The coalescence of water drops on a substrate is studied experimentally. We focus on the rapid growth of the bridge connecting the two drops, which very quickly after contact ensues from a balance of surface tension and liquid inertia. For…

Fluid Dynamics · Physics 2013-07-30 A. Eddi , K. G. Winkels , J. H. Snoeijer

We study the collapse of an attractive atomic Bose-Einstein condensate prepared in the uniform potential of an optical-box trap. We characterise the critical point for collapse and the collapse dynamics, observing universal behaviour in…

We derive reduced finite dimensional ODE models starting from one dimensional lubrication equations describing coarsening dynamics of droplets in nanometric polymer film interacting on a hydrophobically coated solid substrate in the…

Analysis of PDEs · Mathematics 2019-02-20 Georgy Kitavtsev

The coalescence of two liquid drops surrounded by a viscous gas is considered in the framework of the conventional model. The problem is solved numerically with particular attention to resolving the very initial stage of the process which…

Fluid Dynamics · Physics 2015-06-22 James E. Sprittles , Yulii D. Shikhmurzaev

Hypothesis: Droplet coalescence process is important in many applications and has been studied extensively when two droplets are surrounded by gas. However, the coalescence dynamics would be different when the two droplets are surrounded by…

Fluid Dynamics · Physics 2023-12-27 Huadan Xu , Tianyou Wang , Zhizhao Che

We consider the time evolution of a sessile drop of volatile partially wetting liquid on a rigid solid substrate. Thereby, the drop evaporates under strong confinement, namely, it sits on one of the two parallel plates that form a narrow…

Fluid Dynamics · Physics 2023-08-11 S. Hartmann , C. Diddens , M. Jalaal , U. Thiele

We investigate wetting phenomena between self-bound quantum fluids in a three-component Bose mixture of $^{23}$Na, $^{39}$K, and $^{41}$K atoms. Within a density-functional approach including mean-field interactions and Lee-Huang-Yang…

Quantum Gases · Physics 2026-05-28 Francesco Ancilotto

This paper is concerned with regular flows of incompressible weakly viscoelastic fluids which obey a differential constitutive law of Oldroyd type. We study the newtonian limit for weakly viscoelastic fluid flows in $\R^N$ or $\T^N$ for…

Analysis of PDEs · Mathematics 2008-03-04 Luc Molinet , Raafat Talhouk

We revisit the mesoscopic hydrodynamic description of the dynamics of sessile partially wetting compound drops, i.e., of drops that consist of two immiscible nonvolatile partially wetting liquids and are situated on a smooth rigid solid…

Fluid Dynamics · Physics 2025-02-21 Jan Diekmann , Uwe Thiele

We investigate the coalescence of surfactant-laden water droplets by using several different surfactant types and a wide range of concentrations by means of a coarse-grained model obtained by the statistical associating fluid theory. Our…

Soft Condensed Matter · Physics 2023-11-07 Soheil Arbabi , Piotr Deuar , Mateusz Denys , Rachid Bennacer , Zhizhao Che , Panagiotis E. Theodorakis

We discuss a new mechanism of drop coarsening due to coalescence only, which describes the late stages of phase separation in fluids. Depending on the volume fraction of the minority phase, we identify two different regimes of growth, where…

Fluid Dynamics · Physics 2016-01-27 Vadim Nikolayev , Daniel Beysens , Patrick Guenoun

When moist air meets a cold surface, it creates a breath figure characterized by numerous small droplets. The central question is how the vapor flux is distributed between the growth of previously condensed drops and the nucleation of new…

Fluid Dynamics · Physics 2025-08-27 Ambre Bouillant , Christopher Henkel , Uwe Thiele , Bruno Andreotti , Jacco H. Snoeijer

Recent observations of droplets in dipolar and binary Bose-Einstein condensate (BEC) motivates us to study the theory of droplet formation in detail. Precisely, we are interested in investigating the possibility of droplet formation in a…

Quantum Gases · Physics 2021-01-26 Argha Debnath , Ayan Khan

The dynamics of droplets on substrates has a strong impact on microfluidic systems ranging from commercially available lab-on-chip systems to state of the art developments in open microfluidics. Coalescence of micro and nano droplets on a…

Fluid Dynamics · Physics 2017-09-25 Dennis Hessling , Jacco H. Snoeijer , Jens Harting

An electrical method is used to study the early stages of coalescence of two low-viscosity drops. A drop of aqueous NaCl solution is suspended in air above a second drop of the same solution which is grown until the drops touch. At that…

Soft Condensed Matter · Physics 2009-11-13 Sarah C. Case

When two liquid drops touch, a microscopic connecting liquid bridge forms and rapidly grows as the two drops merge into one. Whereas coalescence has been thoroughly studied when drops coalesce in vacuum or air, many important situations…

Liquid crystal droplets are of great interest from physics and applications. Rigorous mathematical analysis is challenging as the problem involves harmonic maps (and in general the Oseen-Frank model), free interfaces and topological defects…

Analysis of PDEs · Mathematics 2020-09-25 Fanghua Lin , Changyou Wang

Drop coalescence is central to diverse processes involving dispersions of drops in industrial, engineering and scientific realms. During coalescence, two drops first touch and then merge as the liquid neck connecting them grows from…

In this work, the electrohydrodynamics of a pair of leaky dielectric droplets on a solid substrate is investigated by the phase-field-based lattice Boltzmann method. Different from a pair of suspended droplets that may coalesce or separate,…

Fluid Dynamics · Physics 2025-08-15 Jiang Peng , Xi Liu , Zhenhua Chai , Changsheng Huang , Xiufang Chen