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The equations governing the motion of a three-dimensional liquid drop moving freely in an unbounded liquid reservoir under the influence of a gravitational force are investigated. Provided the (constant) densities in the two liquids are…

Analysis of PDEs · Mathematics 2019-12-12 Thomas Eiter , Mads Kyed , Yoshihiro Shibata

We discuss different equilibrium problems for hyperelastic solids immersed in a fluid at rest. In particular, solids are subjected to gravity and hydrostatic pressure on their immersed boundaries. By means of a variational approach, we…

Analysis of PDEs · Mathematics 2020-12-09 Manuel Friedrich , Martin Kružík , Ulisse Stefanelli

A theoretical model for stratified epithelium is presented. The viscoelastic properties of the tissue is assumed to be dependent on the spatial distribution of proliferative and differentiated cells. Based on this assumption, a hydrodynamic…

Biological Physics · Physics 2016-06-08 Wei-Ting Yeh , Hsuan-Yi Chen

We use molecular dynamics simulations in two dimensions to investigate the possibility that a core-softened potential can reproduce static and dynamic anomalies found experimentally in liquid water: (i) the increase in specific volume upon…

Soft Condensed Matter · Physics 2009-10-31 A. Scala , M. Reza Sadr-Lahijany , N. Giovambattista , S. V. Buldyrev , H. E. Stanley

We demonstrate levitation and three-dimensionally stable trapping of a wide variety of particles in a vacuum chamber through the use of the thermophoretic force in the presence of a strong temperature gradient. Typical sizes of the trapped…

Soft Condensed Matter · Physics 2017-01-27 Frankie Fung , Mykhaylo Usatyuk , B. J. DeSalvo , Cheng Chin

In recent experiments, Sawaguchi et al. directly probed the lubrication layer of air beneath a droplet levitating inside a rotating cylindrical drum. For small rotation rates of the drum, the lubrication film beneath the drop adopted a…

A mathematical model is derived for the dynamics of a cylinder, or wheel, rolling over a thin viscous film. The model combines the Reynolds lubrication equation for the fluid with an equation of motion for the wheel. Two asymptotic limits…

Fluid Dynamics · Physics 2025-11-18 Siqi Chen , Cheng Liu , Neil J. Balmforth , Sheldon Green , Boris Stoeber

We present a numerical study of a thin elastic sheet with small extensibility freely sedimenting in a viscous fluid. Two scenarios are investigated: sedimentation in free space and near an infinite wall, where the wall may be vertical or…

Fluid Dynamics · Physics 2023-10-16 Yijiang Yu , Michael Graham

Two decades of experimental research indicates that spatial confinement of glass-forming molecular and polymeric liquids results in major changes of their slow dynamics beginning at large confinement distances. A fundamental understanding…

Soft Condensed Matter · Physics 2015-06-23 Stephen Mirigian , Kenneth S. Schweizer

We consider the dynamics of a thin liquid film in the attractive substrate potential and under the action of a longitudinal or a tilted vibration. Using a multiscale technique we split the film motion into the oscillatory and the averaged…

Fluid Dynamics · Physics 2015-05-13 S. Shklyaev , A. A. Alabuzhev , M. Khenner

Water is a ubiquitous liquid with unique physico-chemical properties, whose nature has shaped our planet and life as we know it. Water in restricted geometries has different properties than in bulk. Confinement can prevent low-temperature…

We consider a liquid drop sitting on a rough solid surface at equilibrium, a volume constrained minimizer of the total interfacial energy. The large-scale shape of such a drop strongly depends on the micro-structure of the solid surface.…

Analysis of PDEs · Mathematics 2016-12-22 William M. Feldman , Inwon C. Kim

Liquids play an important role in adhesion and sliding friction. They behave as lubricants in human bodies especially in the joints. However, in many biological attachment systems they acts like adhesives, e.g. facilitating insects to move…

Soft Condensed Matter · Physics 2007-05-23 C. Yang , U. Tartaglino , B. N. J. Persson

The motion of several plates in an inviscid and incompressible fluid is studied numerically using a vortex sheet model. Two to four plates are initially placed in-line, separated by a specified distance, and actuated in the vertical…

Fluid Dynamics · Physics 2026-05-19 Monika Nitsche , Anand U. Oza , Michael Siegel

A millimetre-size superhydrophobic sphere impacting on the free surface of a quiescent bath can be propelled back into the air by capillary effects and dynamic fluid forces, whilst transferring part of its energy to the fluid. We report the…

Flagellated bacteria are hydrodynamically attracted to rigid walls, yet past work shows a 'hovering' state where they swim stably at a finite height above surfaces. We use numerics and theory to reveal the physical origin of hovering.…

Biological Physics · Physics 2024-09-17 Pyae Hein Htet , Debasish Das , Eric Lauga

A new method is proposed to stop the cascade of partial coalescences of a droplet laid on a liquid bath. The strategy consists in vibrating the bath in the vertical direction in order to keep small droplets bouncing. Since large droplets…

Fluid Dynamics · Physics 2009-05-16 T. Gilet , N. Vandewalle , S. Dorbolo

We study the relaxation dynamics of a compressible bilayer vesicle with an asymmetry in the viscosity of the inner and outer fluid medium. First we explore the stability of the vesicle free energy which includes a coupling between the…

Soft Condensed Matter · Physics 2017-01-03 T. V. Sachin Krishnan , Ryuichi Okamoto , Shigeyuki Komura

In this paper we describe a method for modeling the dynamic behavior of splashing fluids. The model simulates the behavior of a fluid when objects impact or float on its surface. The forces generated by the objects create waves and splashes…

Graphics · Computer Science 2023-02-14 James F. O'Brien , Jessica K. Hodgins

When a liquid slams into a solid, the intermediate gas is squeezed out at a speed that diverges when approaching the moment of impact. Although there is mounting experimental evidence that instabilities form on the liquid interface during…

Fluid Dynamics · Physics 2023-06-22 Devaraj van der Meer
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