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Are solids intrinsically different from liquids? Must a finite stress be applied in order to induce flow? Or, instead, do all solids only look rigid on some finite timescales and eventually flow if an infinitesimal shear stress is applied?…

Statistical Mechanics · Physics 2010-06-29 F. Sausset , G. Biroli , J. Kurchan

Yield-stress is a problematic and controversial non-Newtonian flow phenomenon. In this article, we investigate the flow of yield-stress substances through porous media within the framework of pore-scale network modeling. We also investigate…

Fluid Dynamics · Physics 2010-05-12 Taha Sochi

Experimental measurements of the response of a two dimensional system of plastic beads subjected to steady shear are reported. The beads float at the surface of a fluid substrate and are subjected to a slow, steady-shear in a Couette…

Soft Condensed Matter · Physics 2007-05-23 Michael Twardos , Michael Dennin

Gas bubble growth as a result of diffusion flux of dissolved gas molecules from the surrounding supersaturated solution to the bubble surface is studied. The condition of the flux steadiness is revealed. A limitation from below on the…

Statistical Mechanics · Physics 2009-12-05 Anatoly E. Kuchma , Gennady Yu. Gor , Fedor M. Kuni

Intuitively, slow droplets stick to a surface and faster droplets splash or bounce. However, recent work suggests that on non-wetting surfaces, whether microdroplets stick or bounce depends only on their size and fluid properties, but not…

The first stages of the path instability phenomenon known to affect the buoyancy-driven motion of gas bubbles rising in weakly or moderately viscous liquids are examined thanks to a recently developed numerical tool designed to assess the…

Fluid Dynamics · Physics 2023-12-21 P. Bonnefis , J. Sierra-Ausin , D. Fabre , J. Magnaudet

Recent work on single bubble sonoluminescence (SBSL) has shown that many features of this phenomenon, especially the dependence of SBSL intensity and stability on experimental parameters, can be explained within a hydrodynamic approach.…

A small, spherical bubble of high internal pressure is inserted into water at constant ambient pressure as a model of a laser-induced bubble. Its subsequent dynamics near a flat solid boundary is studied in dependence on the distance of the…

Fluid Dynamics · Physics 2020-09-30 Christiane Lechner , Werner Lauterborn , Max Koch , Robert Mettin

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

In this dissertation two-dimensional buoyancy-driven flows are investigated. While usually the Navier-Stokes equations are equipped with no-slip boundary conditions here we focus on the Navier-slip conditions that, depending on the system…

Analysis of PDEs · Mathematics 2024-09-25 Fabian Bleitner

We investigate the Couette-Taylor problem for a steady incompressible viscous fluid in a 3D cylindrical annulus, where one of the two cylinders is still, under both Dirichlet and boundary conditions involving the vorticity that naturally…

Analysis of PDEs · Mathematics 2026-03-06 Edoardo Bocchi , Filippo Gazzola , Antonio Hidalgo-Torné

Oscillatory flow in confined spaces is central to understanding physiological flows and rational design of synthetic periodic-actuation based micromachines. Using theory and experiments on oscillating flows generated through a laser-induced…

Using extended Layzer's potential flow model, we investigate the effects of surface tension on the growth of the bubble and spike in combined Rayleigh-Taylor and Kelvin-Helmholtz instability. The nonlinear asymptotic solutions are obtained…

Fluid Dynamics · Physics 2015-06-08 Rahul Banerjee , S. Kanjilal

Materials such as foams, concentrated emulsions, dense suspensions or colloidal gels, are yield stress fluids. Their steady flow behavior, characterized by standard rheometric techniques, is usually modeled by a Herschel-Bulkley law. The…

Soft Condensed Matter · Physics 2012-09-20 Guillaume Ovarlez , Sylvie Cohen-Addad , Kapil Krishan , Julie Goyon , Philippe Coussot

The buoyancy-induced parallel flow in a vertical cylindrical porous layer is analysed. A radial thermal gradient caused by a uniformly distributed heat source is assumed to induce the buoyant flow. The layer boundaries are modelled as…

Fluid Dynamics · Physics 2023-02-03 A. Barletta , D. A. S. Rees , B. Pulvirenti

We study flow driven through a finite-length planar rigid channel by a fixed upstream flux, where a segment of one wall is replaced by a pre-stressed elastic beam subject to uniform external pressure. The steady and unsteady systems are…

Fluid Dynamics · Physics 2021-11-24 Danyang Wang , Xiaoyu Luo , Peter S. Stewart

When a fluid is injected into a porous medium saturated with an ambient fluid of a greater density, the injected fluid forms a plume that rises upwards due to buoyancy. In the near-field of the injection point the plume adjusts its speed to…

Fluid Dynamics · Physics 2023-01-25 GP Benham

The Plateau-Rayleigh instability shows that a cylindrical fluid flow can be destabilized by surface tension. Similarly, capillary forces can make an elastic cylinder unstable when the elastocapillary length is comparable to the cylinder's…

Soft Condensed Matter · Physics 2025-07-15 F. Magni , D. Riccobelli

A part of non-Newtonian fluids are yield stress fluids. They require a minimum stress to flow. Below this minimum value, yield stress fluids remain solid. To date, 1D and 2D numerical models have been used predominantly to study free…

Fluid Dynamics · Physics 2018-08-03 N Schaer , J. Vazquez , M. Dufresne , G Isenmann , J. Wertel

Yield-stress fluid flow through porous media is governed by a strong coupling between rheology and pore-scale geometry, leading to nonlinear, non-Darcy transport and pronounced channelisation near yielding. We develop a pore-network model…

Fluid Dynamics · Physics 2026-05-12 Cláudio P. Fonte , Elliott Sutton , Kohei Ohie , Eleanor Doman , Yuji Tasaka , Anne Juel