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To investigate the link between discrete, small-scale and continuous, large scale mechanical properties of a foam, we observe its two-dimensional flow in a channel, around an elliptical obstacle. We measure the drag, lift and torque acting…

Soft Condensed Matter · Physics 2007-05-23 Benjamin Dollet Melanie Durth Francois Graner

We study the motion of a two-dimensional droplet on an inclined surface, under the action of gravity, using a diffuse interface model which allows for arbitrary equilibrium contact angles. The kinematics of motion is analysed by decomposing…

Soft Condensed Matter · Physics 2015-03-19 Sumesh P. Thampi , Ronojoy Adhikari , Rama Govindarajan

X-ray scattering and polarized microscopic studies of the structure and order parameters in the nematic (N) and heliconical, or the twist-bend nematic (Ntb), phase have been performed as a function of temperature. The nematic orientational…

We present the results of a combined experimental and theoretical investigation of the surface-tension-driven coalescence of flexible structures. Specifically, we consider the dynamics of the rise of a wetting liquid between flexible sheets…

Fluid Dynamics · Physics 2015-05-19 Camille Duprat , Jeffrey M. Aristoff , Howard A. Stone

When an immiscible oil drop is immersed in a stably stratified ethanol-water mixture, the Marangoni flow on the surface of the drop can experience an oscillatory instability, so that the drop undergoes a transition from levitating to…

Fluid Dynamics · Physics 2023-06-30 Jochem G. Meijer , Yanshen Li , Christian Diddens , Detlef Lohse

This is the second of two companion papers dedicated to the investigation of vortex motion on non-orientable surfaces. The first paper of the pair is predominantly concerned with establishing the Hamiltonian approach to systems of point…

Dynamical Systems · Mathematics 2022-02-15 Nataliya A. Balabanova

We study a reversible continuous-time Markov dynamics on lozenge tilings of the plane, introduced by Luby et al. Single updates consist in concatenations of $n$ elementary lozenge rotations at adjacent vertices. The dynamics can also be…

Probability · Mathematics 2018-06-28 B. Laslier , F. L. Toninelli

This work provides an exact mathematical characterization of the meniscus formed by a liquid of density $\rho$ (model for tumor tissue) when probed with a cantilever device, operating by gravity (acceleration $g$) and with surface tension…

Tissues and Organs · Quantitative Biology 2024-07-02 Sonia Elizabeth Teodorescu

We investigate experimentally the receding of a contact line when a Peltier module is pulled out of a water bath at constant speed, while a ice layer is also growing at constant speed on the Peltier module. A steady regime is therefore…

Fluid Dynamics · Physics 2024-09-04 Rodolphe Grivet , Axel Huerre , Thomas Séon , Laurent Duchemin , Christophe Josserand

We consider the governing equations for the motion of compressible fluid on an evolving surface from both energetic and thermodynamic points of view. We employ our energetic variational approaches to derive the momentum equation of our…

Mathematical Physics · Physics 2017-05-23 Hajime Koba

Capillary rise occurs when a thin tube contacts a liquid, which rises against gravity due to the capillary force. This phenomenon is present in a wide range of everyday and industrial settings and provides the means to measure the physical…

Soft Condensed Matter · Physics 2026-04-20 Anagha Datar , Joonas Ryssy , Aku O. Toivonen , Matilda Backholm

We present results of theoretical description and numerical calculation of the dynamics of molecular liquids based on the Reference Interaction Site Model / Mode-Coupling Theory. They include the temperature-pressure(density) dependence of…

Chemical Physics · Physics 2007-05-23 A. E. Kobryn , T. Yamaguchi , F. Hirata

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…

Fluid Dynamics · Physics 2009-11-13 R. Ledesma-Aguilar , A. Hernandez-Machado , I. Pagonabarraga

We consider surface finite elements and a semi-implicit time stepping scheme to simulate fluid deformable surfaces. Such surfaces are modeled by incompressible surface Navier-Stokes equations with bending forces. Here, we consider closed…

Numerical Analysis · Mathematics 2023-05-03 Veit Krause , Axel Voigt

We demonstrate spontaneous bidirectional motion of droplets on liquid infused surfaces in the presence of a topographical gradient, in which the droplets can move either toward the denser or the sparser solid fraction area. Our analytical…

The coalescence of water drops on a substrate is studied experimentally. We focus on the rapid growth of the bridge connecting the two drops, which very quickly after contact ensues from a balance of surface tension and liquid inertia. For…

Fluid Dynamics · Physics 2013-07-30 A. Eddi , K. G. Winkels , J. H. Snoeijer

When a fluid jet strikes an inclined solid surface at normal incidence, gravity creates a flow pattern with a thick outer rim resembling a parabola and reminiscent of a hydraulic jump. There appears to be little theory or experiments…

Fluid Dynamics · Physics 2010-09-02 Jean-Luc Thiffeault , Andrew Belmonte

In earlier work, we provided a general description of the forces of attraction and repulsion, encountered by two parallel vertical plates of infinite extent and of possibly differing materials, when partially immersed in an infinite liquid…

Differential Geometry · Mathematics 2016-05-25 Rajat Bhatnagar , Robert Finn

We study unstable epitaxy on singular surfaces using continuum equations with a prescribed slope-dependent surface current. We derive scaling relations for the late stage of growth, where power law coarsening of the mound morphology is…

Statistical Mechanics · Physics 2009-10-28 Martin Rost , Joachim Krug

A particle-water discrete element based approach to describe water movement in partially saturated granular media is presented and tested. Water potential is governed by both capillary bridges, dominant at low saturations, and the pressure…

Soft Condensed Matter · Physics 2013-12-05 Yixiang Gan , Federico Maggi , Giuseppe Buscarnera , Itai Einav