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Experimental work has shown that non-equilibrium concentration fluctuations arise during free diffusion in fluids and theoretical analysis has been carried on. The results show that, in usual three-dimensional fluids, the phenomenon is…

流体动力学 · 物理学 2016-08-31 Doriano Brogioli , Alberto Vailati

We present a two-dimensional (2D) mathematical model of a highly concentrated suspension or a thin film of the rigid inclusions in an incompressible Newtonian fluid. Our objectives are two-fold: (i) to obtain all singular terms in the…

偏微分方程分析 · 数学 2007-05-23 Leonid Berlyand , Yuliya Gorb , Alexei Novikov

Two dimensional (2D) laminar jet-----a stream of fluid that projected into a surrounding medium with the flow confined in 2D-----has both theoretical and experimental significance. We carried out 2D laminar jet experiments in freely…

We consider the feasibility of large-scale free-standing thin liquid film experiment in the space environment as a new realization to study two-dimensional hydrodynamics. We identify material and environmental criteria necessary to avoid…

软凝聚态物质 · 物理学 2009-11-11 Rui Zheng , Thomas A. Witten

Although the dynamics of colloids in the vicinity of a solid interface has been widely characterized in the past, experimental studies of Brownian diffusion close to an air-water interface are rare and limited to particle-interface gap…

软凝聚态物质 · 物理学 2022-11-11 Stefano Villa , Christophe Blanc , Abdallah Daddi-Moussa-Ider , Antonio Stocco , Maurizio Nobili

We study experimentally and theoretically the hydrodynamic interaction of pairs of circular inclusions in two-dimensional, fluid smectic membranes suspended in air. By analyzing their Brownian motion, we find that the radial mutual…

Freely suspended films of smectic liquid crystals are unique examples of quasi two-dimensional fluids. Mechanically stable and with quantized thickness of the order of only a few molecular layers, smectic films are ideal systems for…

Consider the 3D flow of a viscous Newtonian fluid upon a curved 2D substrate when the fluid film is thin as occurs in many draining, coating and biological flows. We derive a comprehensive model of the dynamics of the film, the model being…

chao-dyn · 物理学 2007-05-23 A. J. Roberts , Zhenquan Li

We study the flow of two immiscible fluids located on a solid bottom, where the lower fluid is Newtonian and the upper fluid is a non-Newtonian Ellis fluid. Neglecting gravitational effects, we consider the formal asymptotic limit of small…

偏微分方程分析 · 数学 2021-02-01 Oliver Assenmacher , Gabriele Bruell , Christina Lienstromberg

Here, we report experimental results on the rupture of flat colloidal films over a large range of volume fractions, 0.00 $\le \phi\le$ 0.47. The films are formed using a constant fluid volume, ruptured with a needle, and recorded using a…

软凝聚态物质 · 物理学 2022-09-07 Phalguni Shah , Eleanor Ward , Srishti Arora , Michelle M. Driscoll

Consider the three-dimensional flow of a viscous Newtonian fluid upon an abitrarily curved substrate when the fluid film is thin as occurs in many draining, coating and biological flows. We derive a model of the dynamics of the film, the…

patt-sol · 物理学 2008-02-03 R. Valery Roy , A. J. Roberts , M. E. Simpson

We analyze a diffuse interface model for multi-phase flows of $N$ incompressible, viscous Newtonian fluids with different densities. In the case of a bounded and sufficiently smooth domain existence of weak solutions in two and three space…

偏微分方程分析 · 数学 2024-01-15 Helmut Abels , Harald Garcke , Andrea Poiatti

The irreversible behavior of a highly confined non-Brownian suspension of spherical particles at low Reynolds number in a Newtonian fluid is studied experimentally and numerically. In experiment, the suspension is confined in a thin…

流体动力学 · 物理学 2023-11-29 John T. Antolik , Amanda Howard , Fernando Vereda , Nikolay Ionkin , Martin Maxey , Daniel M. Harris

We study immiscible two-phase flow of a compressible and an incompressible fluid inside a capillary tube of varying radius under steady-state conditions. The incompressible fluid is Newtonian and the compressible fluid is an inviscid ideal…

流体动力学 · 物理学 2022-07-22 Hyejeong L. Cheon , Hursanay Fyhn , Alex Hansen , Øivind Wilhelmsen , Santanu Sinha

We investigate the sliding dynamics of a millimeter-sized particle trapped in a horizontal soap film. Once released, the particle moves toward the center of the film in damped oscillations. We study experimentally and model the forces…

软凝聚态物质 · 物理学 2025-03-26 Youna Louyer , Benjamin Dollet , Isabelle Cantat , Anaïs Gauthier

We study a diffuse interface model for the flow of two viscous incompressible Newtonian fluids in a bounded domain. The fluids are assumed to be macroscopically immiscible, but a partial mixing in a small interfacial region is assumed in…

偏微分方程分析 · 数学 2011-04-01 Helmut Abels

Investigations of free-standing liquid films enjoy an increasing popularity due to their relevance for many fundamental and applied scientific problems. They constitute soap bubbles and foams, serve as membranes for gas transport or as…

We study the forced displacement of a fluid-fluid interface in a three-dimensional channel formed by two parallel solid plates. Using a Lattice-Boltzmann method, we study situations in which a slip velocity arises from diffusion effects…

流体动力学 · 物理学 2009-11-13 R. Ledesma-Aguilar , A. Hernandez-Machado , I. Pagonabarraga

Wavy film flow of incompressible Newtonian fluid down an inclined plane is considered. The question is posed as to the parametric conditions under which the description of evolution can be approximately reduced for all time to a single…

patt-sol · 物理学 2007-05-23 Alexander L. Frenkel , Keshavamurthy Indireshkumar

In this report we formulate and analyse a mathematical model describing the evolution of a thin liquid film coating a wire via an extrusion process. We consider the Navier-Stokes equations for a 2D incompressible Newtonian fluid coupled to…

流体动力学 · 物理学 2021-01-08 Maria Aguareles , Francesc Font , Tim Myers , Jordi Ripoll
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