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The dropwise condensation underneath a horizontal super-hydrophobic surface having unidirectional wettability gradient is modeled with implication to enhance the rate of condensation. The mathematical model includes nucleation, growth by…

Materials Science · Physics 2016-03-16 Basant Singh Sikarwar , Abdelwadood Adil Daoud

Measurements of the surface diffusivity of colloidal spheres translating along a vapor/liquid inter- face show an unexpected decrease in diffusivity, or increase in surface drag (from the Stokes-Einstein relation) when the particles situate…

Soft Condensed Matter · Physics 2016-07-08 Joel Koplik , Charles Maldarelli

We examine statics and dynamics of phase-separated states of dilute binary mixtures using density functional theory. In our systems, the difference in the salvation chemical potential $\Delta\mu_s$ between liquid and gas is considerably…

Soft Condensed Matter · Physics 2016-05-13 Ryuichi Okamoto , Akira Onuki

Engineering surfaces that promote rapid drop detachment is of importance to a wide range of applications including anti-icing, dropwise condensation6, and self-cleaning. Here we show how superhydrophobic surfaces patterned with lattices of…

Soft Condensed Matter · Physics 2014-06-13 Yahua Liu , Lisa Moevius , Xinpeng Xu , Tiezheng Qian , Julia M Yeomans , Zuankai Wang

While evaporating solvent is a widely used technique to assemble nano-sized objects into desired superstructures, there has been limited work on how the assembled structures are affected by the physical aspects of the process. We present…

Soft Condensed Matter · Physics 2013-11-20 Shengfeng Cheng , Gary S. Grest

The stability of two bubbles rising initially in-line through a viscous liquid is revisited using a global linear stability analysis formulated within an Arbitrary Lagrangian-Eulerian framework, complemented by fully resolved Embedded…

Fluid Dynamics · Physics 2026-03-10 Wei-Qiang Liu , Jian-Ming Jiang , Jie Zhang

The method for determination the microscopic surface tension $\sigma(R)$ of nanobubbles is developed based on the new elaboration of the positronium bubble model. In contrast to existing structureless Ps bubble models, our version contains…

Chemical Physics · Physics 2007-05-23 Sergey V. Stepanov , Vsevolod M. Byakov , Olga P. Stepanova

Divergence and vorticity damping, which operate upon horizontal divergence and relative vorticity, are explicit diffusion mechanisms used in dynamical cores to ensure stability. To avoid numerical blow-up from excessively strong diffusion,…

Numerical Analysis · Mathematics 2026-02-19 Timothy C. Andrews , Christiane Jablonowski

We investigate the hydrodynamic solutions for expanding bubbles in cosmological first-order phase transitions going beyond local thermal equilibrium approximation. Under the assumption of a tangenosidal field profile, we supplement the…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-29 Tomasz Krajewski , Marek Lewicki , Ignacy Nałęcz , Mateusz Zych

We form sub-micrometer-sized vapor bubbles around a single laser heating gold nanoparticle in a liquid and monitor them through optical scattering of a probe laser. The fast, inertia-governed expansion is followed by a slower contraction…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Lei Hou , Mustafa Yorulmaz , Nico R. Verhart , Michel Orrit

A weakly deformable droplet impinging on a rigid surface rebounds if the surface is intrinsically hydrophobic or if the gas film trapped underneath the droplet is able to keep the interfaces from touching. A simple, physically motivated…

Fluid Dynamics · Physics 2007-05-23 A. Gopinath

When a drop impacts at very low velocity onto a pool surface it is cushioned by a thin layer of air, which can be stretched into a hemispheric shape. We use ultra-high-speed video imaging to show how this thin air-layer ruptures. The number…

In this paper, the size of bubbles formed through the breakup of a gaseous jet in a co-axial microfluidic device is derived. The gaseous jet surrounded by a co-flowing liquid stream breaks up into monodisperse microbubbles and the size of…

Fluid Dynamics · Physics 2011-06-08 Wim van Hoeve , Benjamin Dollet , José M. Gordillo , Michel Versluis , Detlef Lohse

We consider a range of geometric stability problems for hypersurfaces of spaceforms. One of the key results is an estimate relating the distance to a geodesic sphere of an embedded hypersurface with integral norms of the traceless Hessian…

Analysis of PDEs · Mathematics 2025-12-16 Julian Scheuer

We discuss the diffusion phenomenon in the parabolic and hyperbolic regimes. New effects related to the finite velocity of the diffusion process are predicted, that can partially explain the strange behavior associated to adsorption…

Mathematical Physics · Physics 2014-02-13 A. Sapora , M. Codegone , G. Barbero

A small drop of a heavier fluid may float on the surface of a lighter fluid supported by surface tension forces. In equilibrium, the drop assumes a radially symmetric shape with a circular triple-phase contact line. We show theoretically…

Fluid Dynamics · Physics 2021-07-27 Andrey Pototsky , Alexander Oron , Michael Bestehorn

It is shown that when the nanobubble contact line is pinned to a penetrating tip the interface behaves like a Hookean spring with spring constant proportional to the nanobubble surface tension. Atomic force microscope (AFM) data for several…

Soft Condensed Matter · Physics 2015-05-12 Phil Attard

Motivated by the large effect of turbulent drag reduction by minute concentrations of polymers we study the effects of a weakly space-dependent viscosity on the stability of hydrodynamic flows. In a recent Letter [Phys. Rev. Lett. {\bf 87},…

Chaotic Dynamics · Physics 2009-11-07 Rama Govindarajan , Victor S. L'vov , Itamar Procaccia

Surface nanobubbles forming on hydrophobic surfaces in water present an exciting opportunity as potential agents of top-down, bottom-up nanopatterning. The formation and characteristics of surface nanobubbles are strongly influenced by the…

Chemical Physics · Physics 2023-09-26 Anayet Ullah Siddique , Rui Xie , Danielle Horlacher , Roseanne Warren

We provide sharp stability estimates for the Alexandrov Soap Bubble Theorem in the hyperbolic space. The closeness to a single sphere is quantified in terms of the dimension, the measure of the hypersurface and the radius of the touching…

Differential Geometry · Mathematics 2018-09-05 Giulio Ciraolo , Luigi Vezzoni