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- Maria L Ekiel-Jezewska, Eligiusz Wajnryb, Jerzy Bławzdziewicz, François Feuillebois
- The Journal of chemical physics
- 2008

Lubrication expressions for the friction coefficients of a spherical particle moving in a fluid between and along two parallel solid walls are explicitly evaluated in the low-Reynolds-number regime. They are used to determine lubrication expression for the particle free motion under an ambient Poiseuille flow. The range of validity and the accuracy of the… (More)

- François Feuillebois, Martin Z Bazant, Olga I Vinogradova
- Physical review letters
- 2009

Superhydrophobic surfaces reduce drag by combining hydrophobicity and roughness to trap gas bubbles in a microscopic texture. Recent work has focused on specific cases, such as arrays of pillars or grooves, with limited theoretical guidance. Here, we consider the experimentally relevant limit of thin channels and obtain rigorous bounds on the effective slip… (More)

From the solution of the creeping-flow equations, the drag force on a sphere becomes infinite when the gap between the sphere and a smooth wall vanishes at constant velocity, so that if the sphere is displaced towards the wall with a constant applied force, contact theoretically may not occur. Physically, the drag is finite for various reasons, one being… (More)

- D Lumma, A Best, A Gansen, F Feuillebois, J O Rädler, O I Vinogradova
- Physical review. E, Statistical, nonlinear, and…
- 2003

We present an experimental approach to flow profiling within femtoliter sample volumes, which allows the high-precision measurements at the solid interface. The method is based on the spatial cross-correlation of the fluorescence response from labeled tracer particles (latex nanospheres or single dye molecules). Two excitation volumes, separated by a few… (More)

- M L Ekiel-Jezewska, N Lecoq, R Anthore, F Bostel, F Feuillebois
- Physical review. E, Statistical, nonlinear, and…
- 2002

We analyze the rotational and translational motion of two close spheres in a fluid at low Reynolds number to investigate if their surfaces come into mechanical contact. The rotational motion of a sphere settling close to another fixed ball is calculated from a model in which contact interactions between the spheres are added to the gravitational and… (More)

- Olga I Vinogradova, Kaloian Koynov, Andreas Best, François Feuillebois
- Physical review letters
- 2009

We report the results of direct measurements of velocity profiles in a microchannel with hydrophobic and hydrophilic walls, using a new high-precision method of double-focus spatial fluorescence cross correlation under a confocal microscope. In the vicinity of both walls the measured velocity profiles do not go to zero by supplying a plateau of constant… (More)

- S Tabakova, F Feuillebois
- Journal of colloid and interface science
- 2004

We model the solidification and subsequent cooling of a supercooled liquid droplet that is lying on a cold solid substrate after impact. It is assumed that solidification occurs for a given fixed droplet shape. The shapes used by the model are a sphere, truncated spheres, and an experimentally registered droplet shape. The freezing process is… (More)

- Olga I Vinogradova, François Feuillebois
- Journal of colloid and interface science
- 2003

Our goal is to study theoretically the effect of deformation on the exponentially decaying interaction of two elastic solids separated by a thin liquid film. The deformed shape of the surfaces and the contribution of the elasticity to the total force, i.e., an additional term present between elastic bodies, are calculated from continuum elastic theory via a… (More)

- François Feuillebois, Martin Z Bazant, Olga I Vinogradova
- Physical review. E, Statistical, nonlinear, and…
- 2010

We provide some general theoretical results to guide the optimization of transverse hydrodynamic phenomena in superhydrophobic channels. Our focus is on the canonical micro- and nanofluidic geometry of a parallel-plate channel with an arbitrary two-component (low-slip and high-slip) coarse texture, varying on scales larger than the channel thickness. By… (More)