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Recently, the authors considered a thin steady developed viscous liquid wall jet passing the sharp trailing edge of a horizontally aligned flat plate under surface tension and the weak action of gravity acting vertically in the asymptotic…

Fluid Dynamics · Physics 2021-09-22 Bernhard Scheichl , Robert I. Bowles , Georgios Pasias

The velocity fluctuations in a spherical shell arising from sinusoidal perturbations of a Keplerian shear flow with a free amplitude parameter \epsilon are studied numerically by means of fully 3D nonlinear simulations. The investigations…

Astrophysics · Physics 2009-11-06 G. Rudiger , A. Drecker

The motion of a water droplet on a single vertical sugar fiber is analyzed. The fiber is positioned vertically, with the droplet placed at its pending end. If the capillary force exceeds the weight of the droplet, the droplet remains…

Fluid Dynamics · Physics 2026-03-10 Stéphane Dorbolo , Floriane Weyer , Alexandre Delory , Apurav Tambe , Zhao Pan

Dynamics of polarization optical singularities chain reactions in generic elliptically polarized speckle fields created in photorefractive crystal LiNbO3 was investigated in details Induced speckle field develops in the tens of minutes…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 V. I. Vasil'ev , M. S. Soskin

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…

Material mixing induced by a Rayleigh-Taylor instability occurs ubiquitously in either nature or engineering when a light fluid pushes against a heavy fluid, accompanying with the formation and evolution of chaotic bubbles. Its general…

Fluid Dynamics · Physics 2017-07-25 You-sheng Zhang , Zhi-wei He , Li Li , Bao-lin Tian

A slender-thread model is derived to explore the Rayleigh-Plateau instability of a filament of elasto-viscoplastic fluid. Without elasticity, a finite yield stress suppresses any linear instability for a filament of constant radius.…

Fluid Dynamics · Physics 2025-12-25 James D. Shemilt , Neil J. Balmforth

Results from the state-of-the-art molecular dynamics simulations are presented for both equilibrium and nonequilibrium dynamics following vapor-liquid transition in a single component Lennard-Jones system. We have fixed the overall density…

Statistical Mechanics · Physics 2018-03-09 Sutapa Roy , Subir K. Das

We study the evolution of radiating and viscous fluid spheres assuming an additional homothetic symmetry on the spherically simmetric space--time. We match a very simple solution to the symmetry equations with the exterior one (Vaidya). We…

General Relativity and Quantum Cosmology · Physics 2015-06-25 W. Barreto , J. Ovalle , B. Rodriguez

Soft elastic capsules which are driven through a viscous fluid undergo shape deformation coupled to their motion. We introduce an iterative solution scheme which couples hydrodynamic boundary integral methods and elastic shape equations to…

Soft Condensed Matter · Physics 2015-09-09 Horst-Holger Boltz , Jan Kierfeld

In an effort to study the stability of contact lines in fluids, we consider the dynamics of a drop of incompressible viscous Stokes fluid evolving above a one-dimensional flat surface under the influence of gravity. This is a free boundary…

Analysis of PDEs · Mathematics 2019-07-15 Ian Tice , Lei Wu

Within the framework of a semi-microscopic interface displacement model we analyze the linear stability of sessile ridges and drops of a non-volatile liquid on a homogeneous, partially wet substrate, for both signs and arbitrary amplitudes…

Soft Condensed Matter · Physics 2009-11-13 S. Mechkov , G. Oshanin , M. Rauscher , M. Brinkmann , A. M. Cazabat , S. Dietrich

Pendant drops spontaneously appear on the underside of wet surfaces through the Rayleigh-Taylor instability. These droplets have no contact line, they are connected to a thin liquid film with which they exchange liquid and are thus mobile:…

Fluid Dynamics · Physics 2024-08-09 Etienne Jambon-Puillet

Experimental observations indicate that chemically active droplets suspended in a surfactant-laden fluid can self-propel spontaneously. The onset of this motion is attributed to a symmetry-breaking Marangoni instability resulting from the…

Fluid Dynamics · Physics 2018-12-17 Matvey Morozov , Sebastien Michelin

Chirality in active and passive fluids gives rise to odd transport properties, most notably the emergence of robust edge currents that defy standard dissipative dynamics. While these phenomena are well-described by continuum hydrodynamics,…

Statistical Mechanics · Physics 2026-02-11 Jan Wójcik , Erik Kalz

Liquid droplets usually wet smooth and homogeneous substrates isotropically. Recent research works have revealed that droplets sit, slide and spread anisotropically on uniaxially stretched soft substrates, showing an enhanced wettability…

Soft Condensed Matter · Physics 2022-12-02 Yixuan Du , Elmar Bonaccurso , Jianwei Guo , Kai Uhlig , Longquan Chen , Binyu Zhao , Günter K. Auernhammer

Nonlinear evolutions of two-dimensional single-mode compressible Rayleigh--Taylor instability (RTI) with isothermal stratification are investigated in cylindrical geometry via direct numerical simulation for different Atwood numbers…

Fluid Dynamics · Physics 2025-02-04 Ming Yuan , Zhiye Zhao , Luoqin Liu , Pei Wang , Nan-Sheng Liu , Xi-Yun Lu

We report surprising morphological changes of suspension droplets (containing class II hydrophobin protein HFBI from Trichoderma reesei and water) as they evaporate with a contact line pinned on a rigid solid substrate. Both pendant and…

The unsteady response of a water free surface to a localized pressure source moving at constant speed $U$ in the range $0.95c_\mathrm{min} \lesssim U \leq 1.02 c_\mathrm{min}$, where $c_\mathrm{min}$ is the minimum phase speed of linear…

Fluid Dynamics · Physics 2016-12-05 Naeem Masnadi , James H. Duncan

Understand and predict the dynamics of dispersed micro-objects in microfluidics is crucial in numerous natural, industrial and technological situations. In this paper, we experimentally characterized the equilibrium velocity $V$ and lateral…

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