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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

Motivated by recent experiments, we consider theoretically the compression of droplets pinned at the bottom on a surface of finite area. We show that if the droplet is sufficiently compressed at the top by a surface, it will always develop…

Fluid Dynamics · Physics 2017-08-03 Gwynn J. Elfring , Eric Lauga

A classical model of fluid dynamics is considered which describes the shape evolution of a viscous liquid droplet on a homogeneous substrate. All equilibria are characterized and their stability is analyzed by a geometric reduction…

Analysis of PDEs · Mathematics 2018-08-14 Patrick Guidotti

We study the effects of nozzle geometry on the dynamics of thin fluid films flowing down a vertical cylindrical fibre. Recent experiments show that varying the nozzle diameter can lead to different flow regimes and droplet characteristics…

Fluid Dynamics · Physics 2023-07-19 Hangjie Ji , Abolfazl Sadeghpour , Y. Sungtaek Ju , Andrea L. Bertozzi

The oblique impact of a liquid droplet onto a deep liquid pool is studied numerically with the adaptive volume-of-fluid solver Basilisk. The splashing threshold, cavity formation, cavity evolution and the maximum cavity dimensions are…

Fluid Dynamics · Physics 2019-03-22 Sten A. Reijers , Bo Liu , Detlef Lohse , Hanneke Gelderblom

We study the asymptotic behavior of the diameter or maximum interpoint distance of a cloud of i.i.d. $d$-dimensional random vectors when the number of points in the cloud tends to infinity. This is a non standard extreme value problem since…

Probability · Mathematics 2017-11-30 Yann Demichel , Ana Karina Fermin , Philippe Soulier

We present a solvable model inspired by dimensional analysis for the time-dependent spreading of droplets that partially wet a substrate, where the spreading eventually stops and the contact angle reaches a nonzero equilibrium value. We…

We propose an improved effective-medium theory to obtain the concentration dependence of the viscosity of particle suspensions at arbitrary volume fractions. Our methodology can be applied, in principle, to any particle shape as long as the…

Soft Condensed Matter · Physics 2010-06-01 I. Santamaria-Holek , Carlos I. Mendoza

Conventional phase segregation is controlled by a positive interfacial tension, which implies that the system relaxes towards a state in which the interfacial area (or length) is minimized, typically manifesting as a single droplet that…

Soft Condensed Matter · Physics 2025-09-24 Kathrin Hertäg , Joshua F. Robinson , Thomas Speck

See http://www.youtube.com/watch?v=izbGXdjvK_I for a YouTube video showing part of the results in this paper.We will consider surfaces whose mean curvature at a point is a linear function of the square of the distance from that point to the…

Differential Geometry · Mathematics 2014-04-14 Bennett Palmer , Oscar Perdomo

We have developed a coupled level set and volume of fluid-based computational fluid dynamics model to analyze the droplet formation mechanism in a square flow-focusing microchannel. We demonstrate a flexible manipulation of droplet…

Fluid Dynamics · Physics 2025-10-09 Somasekhara Goud Sontti , Arnab Atta

We report on a comprehensive study of the unique adhesive properties of mats of polymethylmethacrylate (PMMA) nanofibers produced by electrospinning. Fibers are deposited on glass, varying the diameter and the relative orientation of the…

Soft Condensed Matter · Physics 2017-01-20 S. Varagnolo , F. Raccanello , M. Pierno , G. Mistura , M. Moffa , L. Persano , D. Pisignano

We study the drag on a centimetric sphere in a uniform flow in the presence of a free surface as a function of submergence depth. Through direct force measurements in a custom benchtop recirculating flume, we demonstrate that the drag can…

Fluid Dynamics · Physics 2023-10-05 Robert Hunt , Ze Zhao , Eli Silver , Jinhui Yan , Yuri Bazilevs , Daniel M. Harris

In this work, we experimentally investigate the suspension behavior of droplets subjected to standing acoustic waves. We focus on the droplet sizes beyond the Rayleigh limit, i.e., when the droplet size is comparable to the wavelength of…

Fluid Dynamics · Physics 2023-08-09 Jeyapradhap Thirisangu , E Hemachandran , Karthick Subramani

Biological cells and synthetic analogues use liquid-liquid phase separation to dynamically compartmentalize their environment for various applications. In many cases, multiple droplets need to coexist, and their size needs to be controlled,…

Soft Condensed Matter · Physics 2025-12-03 Guido Kusters , David Zwicker

The contact angle of a liquid drop on a rigid surface is determined by the classical theory of Young-Laplace. For chemically homogeneous surfaces, this angle is a constant. We study the minimal-energy configurations of liquid drops on rough…

Mathematical Physics · Physics 2017-08-03 Gershon Wolansky

The droplet size in emulsions is known to affect the rheological properties and plays a crucial role in the many applications of emulsions. Despite its importance, the underlying mechanisms governing droplet size in emulsification remain…

Soft Condensed Matter · Physics 2023-11-17 Manon L'Estimé , Michael Schindler , Noushine Shahidzadeh , Daniel Bonn

The collision of water and elastic liquid drops with a thin cylinder (thread) is studied. The droplet flight trajectory and the cylinder axis are mutually perpendicular. Attention is focused on the difference between collisions of water…

Fluid Dynamics · Physics 2021-06-10 Alla O. Rudenko , Alexey I. Fedyushkin , Aleksey N. Rozhkov

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 aerodynamic breakup of a polymeric droplet in the bag breakup regime is investigated experimentally and compared with the result of the Newtonian droplet. To understand the effect of liquid elasticity, the Weber number is kept fixed…

Fluid Dynamics · Physics 2023-09-27 Navin Kumar Chandra , Shubham Sharma , Saptarshi Basu , Aloke Kumar
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