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We investigate the influence of side-wall wetting on the linear stability of falling liquid films confined in the spanwise direction. A biglobal stability framework is developed, capturing inertia, viscosity, gravity, capillarity, and…

Fluid Dynamics · Physics 2026-05-19 Hammam Mohamed , Jörn Sesterhenn

We study thermal, fluctuation-induced hydrodynamic interaction forces in a classical, compressible, viscous fluid confined between two rigid, planar walls with no-slip boundary conditions. We calculate hydrodynamic fluctuations using the…

Statistical Mechanics · Physics 2015-12-24 Chris Monahan , Ali Naji , Ron Horgan , Bing-Sui Lu , Rudi Podgornik

By means of mesoscopic numerical simulations of a model soft-glassy material, we investigate the role of boundary roughness on the flow behaviour of the material, probing the bulk/wall and global/local rheologies. We show that the roughness…

Soft Condensed Matter · Physics 2016-08-24 Andrea Scagliarini , Matteo Lulli , Massimo Bernaschi , Mauro Sbragaglia

We present a comprehensive study of water drops sliding down chemically heterogeneous surfaces formed by a periodic pattern of alternating hydrophobic and hydrophilic stripes. Drops are found to undergo a stick-slip motion whose average…

Molecular dynamics simulations are carried out to explore the dynamical crossover phenomenon in strongly confined and mildly supercooled water in graphene oxide nanopores. In contrast to studies where confinement is used to study the…

Soft Condensed Matter · Physics 2020-03-09 Rajasekaran M , K. Ganapathy Ayappa

We prove the existence and uniqueness of strong solutions to the steady isentropic compressible Navier-Stokes equations with inflow boundary conditions for density and mixed boundary conditions for the velocity around a shear flow. In…

Analysis of PDEs · Mathematics 2022-04-19 Wen-Gang Yang

Simulations of the structure and dynamics of fluid films confined to a thickness of a few molecular diameters are described. Confining walls introduce layering and in-plane order in the adjacent fluid. The latter is essential to transfer of…

mtrl-th · Physics 2008-02-03 Peter A. Thompson , Mark O. Robbins , Gary S. Grest

We report results of direct measurements of velocity profiles in a microchannel with hydrophobic and hydrophilic walls, using a new high precision method of double-focus spacial fluorescence cross-correlation under a confocal microscope. In…

Soft Condensed Matter · Physics 2009-11-13 Olga I. Vinogradova , Kaloian Koynov , Andreas Best , François Feuillebois

Dense non-Brownian suspensions exhibit a spectacular and abrupt drop in viscosity under change of shear direction, as revealed by shear inversions (reversals) or orthogonal superposition. Here, we introduce an experimental setup to…

Following the findings in \cite{wangsawijaya2020}, we re-examine the turbulent boundary layers developing over surfaces with spanwise heterogeneous roughness of various roughness wavelengths $0.32 \leq S/\overline{\delta} \leq 3.63$, where…

Fluid Dynamics · Physics 2023-03-01 Dea Daniella Wangsawijaya , Nicholas Hutchins

The effect of non periodic boundary conditions on decaying two-dimensional magnetohydrodynamic turbulence is investigated. We consider a circular domain with no-slip boundary conditions for the velocity and where the normal component of the…

Classical Physics · Physics 2009-11-13 Salah Neffaa , Wouter Bos , Kai Schneider

In this Letter, the 2-dimensional dense flow of polygonal particles on an incline with a flat frictional inferior boundary is analyzed by means of contact dynamics discrete element simulations, in order to develop boundary conditions for…

Soft Condensed Matter · Physics 2014-01-10 Riccardo Artoni , Andrea C. Santomaso , Massimiliano Go' , Paolo Canu

Starting from a microscopic multiparticle Langevin equation, we systematically derive a hydrodynamic description in terms of density and momentum fields for chiral active particles interacting via standard repulsive and nonlocal odd forces.…

Soft Condensed Matter · Physics 2026-01-28 Umberto Marini Bettolo Marconi , Alessandro Petrini , Raphaël Maire , Lorenzo Caprini

The behavior of thin liquid films is known to be strongly affected by the presence of surfactants at the interfaces. The detailed mechanism by which the latter enhance film stability is still a matter of debate, in particular concerning the…

Soft Condensed Matter · Physics 2019-07-24 Lorène Champougny , Benoit Scheid , Frédéric Restagno , Jan Vermant , Emmanuelle Rio

A full characterization of the water flow past a silicon superhydrophobic surface with longitudinal micro-grooves enclosed in a microfluidic device is presented. Fluorescence microscopy images of the flow seeded with fluorescent passive…

Fluid Dynamics · Physics 2014-06-13 Guido Bolognesi , Cecile Cottin-Bizonne , Christophe Pirat

We study the effect of surface texture on an overlying turbulent flow for textures made of an alternating slip/no-slip pattern, a common model for superhydrophobic surfaces, but also a particularly simple form of texture. For texture sizes…

Fluid Dynamics · Physics 2024-12-18 Wenxiong Xie , Chris T Fairhall , Ricardo García-Mayoral

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 · Physics 2008-02-03 R. Valery Roy , A. J. Roberts , M. E. Simpson

We analyze the evolution of thin liquid droplets in the lubrication approximation with different slip conditions at the liquid-solid interface. Motivated by the classical no-slip paradox which states that the Navier-Stokes equations with a…

Analysis of PDEs · Mathematics 2025-12-22 Hans Knuepfer , Juan Velazquez

We investigate the steady self-propelled motion of a rigid body immersed in a three-dimensional incompressible viscous fluid governed by the Navier-Stokes equations. The analysis is performed in a body-fixed reference frame, so that the…

Analysis of PDEs · Mathematics 2026-01-01 Sarka Necasova , Arnab Roy , Ana Leonor Silvestre

The stability of thin liquid films on a surface depends on the excess free energy of the system involving various short-range and long-range interactions. In an unstable condition, thin liquid films may dewet into multiple small-sized…

Soft Condensed Matter · Physics 2022-03-24 Bidisha Bhatt , Shivam Gupta , Vasudevan Sumathi , Sivasurender Chandran , Krishnacharya Khare
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