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The single droplet under shear is a foundational problem in fluid mechanics. In computational fluid dynamics, the two-dimensional (2D) formulation offers advantages in both computational efficiency and relevance, yet its theoretical…

Fluid Dynamics · Physics 2026-04-15 Thomas Appleford , Vatsal Sanjay , Maziyar Jalaal

Recently, it was observed that water droplets suspended in a nematic liquid crystal form linear chains (Poulin et al., Science 275, 1770 (1997)). The chaining occurs, e.g., in a large nematic drop with homeotropic boundary conditions at all…

Soft Condensed Matter · Physics 2009-10-31 Holger Stark , Joachim Stelzer , Ralf Bernhard

Hypothesis: Immiscible liquids are commonly used to achieve unique functions in many applications, where the breakup of compound droplets in airflow is an important process. Due to the existence of the liquid-liquid interface, compound…

Fluid Dynamics · Physics 2023-12-27 Zhikun Xu , Yue Zhang , Tianyou Wang , Zhizhao Che

In a one-component fluid, we investigate evaporation of a small axysymmetric liquid droplet in the partial wetting condition on a heated wall at $T\sim 0.9 T_c$. In the dynamic van der Waals theory (Phys. Rev. E {\bf 75}, 036304 (2007)), we…

Soft Condensed Matter · Physics 2009-11-13 Ryohei Teshigawara , Akira Onuki

Curved fluid interfaces are investigated on the nanometre length scale by molecular dynamics simulation. Thereby, droplets surrounded by a metastable vapour phase are stabilized in the canonical ensemble. Analogous simulations are conducted…

The process of drop formation from a nozzle can be seen in many natural systems and engineering applications. Here, we investigate the formation of a liquid droplet from a wettable nozzle. The behavior of a drop is complicated due to an…

Fluid Dynamics · Physics 2015-05-27 Brian Chang , Gary Nave , Sunghwan Jung

A semiclassical analysis of a two-dimensional electron droplet in a high, nonuniform magnetic field predicts that the droplet will form ``fingered'' patterns upon increasing the number of electrons. We construct explicit examples of these…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Taylor L. Hughes , A. D. Klironomos , Alan T. Dorsey

Self-encapsulated droplets floating at an oil--air interface undergo striking shape changes during evaporation, including flattening and localized loss of membrane tension leading to crumpling and wrinkling. Here we combine experiments,…

Soft Condensed Matter · Physics 2026-05-11 D. Andrini , D. Riccobelli , L. Gazzera , S. Molteni , P. Metrangolo , P. Ciarletta

We describe combined experiments and simulations of droplet breakup during flow-driven interactions with a circular obstacle in a quasi-two-dimensional microfluidic chamber. Due to a lack of in-plane confinement, the droplets can also slip…

Fluid Dynamics · Physics 2026-05-07 David J. Meer , Shivnag Sista , Mark D. Shattuck , Corey S. O'Hern , Eric R. Weeks

We develop and analyze a model for a flat microbial droplet growing on the surface of a three-dimensional viscous fluid. The model describes growth-induced stresses at the fluid surface, density variations in the bulk due to nutrient…

Fluid Dynamics · Physics 2026-05-20 Vicente Gomez Herrera , Scott Weady

A coarse-grained model developed by Marrink et al. [J. Phys. Chem. B 111, 7812 (2007)] is applied to investigate vesiculation of lipid [dipalmitoylphosphatidylcholine (DPPC)] droplets in water. Three kinds of morphologies of micelles are…

Soft Condensed Matter · Physics 2009-11-13 Zilu Wang , Xuehao He

We report experiments, modeling and numerical simulations of the self--assembly of particle patterns obtained from a nanometric metallic square grid. Initially, nickel filaments of rectangular cross section are patterned on a SiO$_2$ flat…

The influence of surface constraints on the self-assembly of liquid droplets is investigated. A semi-quantitative explanation for large scale pattern formation consisting of small scale closely arranged droplets inside the large scale…

Soft Condensed Matter · Physics 2019-06-28 K Nilavarasi , S G Ramkumar , V Madhurima

We study equilibrium droplets in two-phase systems at parameter values corresponding to phase coexistence. Specifically, we give a self-contained microscopic derivation of the Gibbs-Thomson formula for the deviation of the pressure and the…

Mathematical Physics · Physics 2007-05-23 Marek Biskup , Lincoln Chayes , Roman Kotecky

In this work, we used a coupled level set and volume of fluid (CLSVOF) computational method for studying the generation of microdroplets in a two dimensional circular co-flow microfluidic device. The fundamental understanding of shear…

Fluid Dynamics · Physics 2025-07-17 Manohar Jammula , Somasekhara Goud Sontti

Liquid droplets sliding along solid surfaces are a frequently observed phenomenon in nature, e.g., raindrops on a leaf, and in everyday situations, e.g., drops of water in a drinking glass. To model this situation, we use a phase field…

Computational Physics · Physics 2019-10-23 Henning Bonart , Christian Kahle , Jens-Uwe Repke

We develop a model for the thermodynamics and evaporation dynamics of aerosol droplets of a liquid such as water, surrounded by the gas. When the temperature and the chemical potential (or equivalently the humidity) are such that the vapour…

Soft Condensed Matter · Physics 2023-11-23 A. J. Archer , B. D. Goddard , R. Roth

Laplace pressure driven snap-off is a technique that is used to produce droplets for emulsions and microfluidics purposes. Previous predictions of droplet size have assumed a quasi-equilibrium low flow limit. We present a simple model to…

Fluid Dynamics · Physics 2016-09-16 Solomon Barkley , Samantha J. Scarfe , Eric R. Weeks , Kari Dalnoki-Veress

Molecular dynamics simulations have been performed on pure liquid water, aqueous solutions of sodium chloride, and polymer solutions exposed to a strong external electric field with the goal to gain molecular insight into the structural…

Soft Condensed Matter · Physics 2016-08-08 I. Nezbeda , J. Jirsák , F. Moučka , W. R. Smith

We combine theory, numerical simulation and experiments to investigate the breakup of two identical droplets entering a Y-junction with controlled spatial offset by which the second droplet trails the first. Based on fully resolved 3D…

Fluid Dynamics · Physics 2020-08-04 Simon Schütz , Jian Wei Khor , Sindy K. Y. Tang , Tobias M. Schneider