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Effective slip boundary conditions for flows over periodic micro-structured surfaces containing a secondary immiscible fluid are derived. The primary fluid is in the Cassie state, while the geometries of the micro-structures can be…

Fluid Dynamics · Physics 2024-01-01 Yufan Cao , Yixin Zhang , Pengyu Lv , Huiling Duan

Super-hydrophobic array of grooves containing trapped gas (stripes), have the potential to greatly reduce drag and enhance mixing phenomena in microfluidic devices. Recent work has focused on idealized cases of stick-perfect slip stripes,…

Fluid Dynamics · Physics 2010-09-14 Aleksey V. Belyaev , Olga I. Vinogradova

Analytical expressions for the velocity field and the effective slip length of pressure-driven Stokes flow through slippery pipes and annuli with rotationally symmetrical longitudinal slits are derived. Specifically, the developed models…

Fluid Dynamics · Physics 2023-05-19 Sebastian Zimmermann , Clarissa Schönecker

Surfactants can have a detrimental effect on the drag reduction in shear flow over superhydrophobic surfaces in Cassie state. While surfactant-free gas-liquid interfaces are often well approximated as shear-free, surfactants can impede the…

Fluid Dynamics · Physics 2023-06-21 Tobias Baier

The hydrodynamics of liquid flowing past gas sectors of unidirectional superhydrophobic surfaces is revisited. Attention is focussed on the local slip boundary condition at the liquid-gas interface, which is equivalent to the effect of a…

Fluid Dynamics · Physics 2018-01-18 Alexander L. Dubov , Tatiana V. Nizkaya , Evgeny S. Asmolov , Olga I. Vinogradova

We calculate the effective slip length for a rectangularly grooved periodic surface encapsulated (i.e., fully wetted) by a lubricant fluid and subjected to exterior shear flow parallel to the grooves. Our focus is the limit of a…

Fluid Dynamics · Physics 2026-01-29 Ory Schnitzer , Ehud Yariv

A type of super-hydrophobic surface consists of a solid plane boundary with an array of grooves which, due to the effect of surface tension, prevent a complete wetting of the wall. The effect is greatest when the grooves are aligned with…

Fluid Dynamics · Physics 2009-11-13 Mauro Sbragaglia , Andrea Prosperetti

Hydrophobic textured surfaces are studied for their low wettability and their capacity to create a 'slippery' fluid on the surface during lubrication. To this end, the flow between two parallel surfaces is numerically addressed by computing…

Fluid Dynamics · Physics 2024-08-12 Nicolas Elie , Pascal Jolly , Romain Lucas-Roper , Noël Brunetière

An analytical solution for the flow field of a shear flow over a rectangular cavity containing a second immiscible fluid is derived. While flow of a single-phase fluid over a cavity is a standard case investigated in fluid dynamics, flow…

Fluid Dynamics · Physics 2013-11-28 Clarissa Schönecker , Steffen Hardt

We ascertain the enhanced slip properties for a liquid flow over lubricant-infused unidirectional surfaces. This situation reflects many practical settings involving liquid flows past superhydrophobic grooves filled with gas, or past…

Fluid Dynamics · Physics 2018-09-12 Evgeny S. Asmolov , Tatiana V. Nizkaya , Olga I. Vinogradova

The molecular mechanism of slip at the interface between polymer melts and weakly attractive smooth surfaces is investigated using molecular dynamics simulations. In agreement with our previous studies on slip flow of shear-thinning fluids,…

Soft Condensed Matter · Physics 2010-11-11 Nikolai V. Priezjev

Using Molecular Dynamics simulations of a polymer liquid flowing past flat and patterned surfaces, we investigate the influence of corrugation, wettability and pressure on slippage and friction at the solid-liquid interface. For…

Soft Condensed Matter · Physics 2013-02-22 Nikita Tretyakov , Marcus Müller

The rate of water flow through hydrophobic nanocapillaries is greatly enhanced as compared to that expected from macroscopic hydrodynamics. This phenomenon is usually described in terms of a relatively large slip length, which is in turn…

Mesoscale and Nanoscale Physics · Physics 2016-03-22 Mehdi Neek-Amal , F. M. Peeters , I. V. Grigorieva , A. K. Geim

The flow of viscous incompressible fluid over a periodically corrugated surface is investigated numerically by solving the Navier-Stokes equation with the local slip and no-slip boundary conditions. We consider the effective slip length…

Fluid Dynamics · Physics 2009-05-12 Anoosheh Niavarani , Nikolai V. Priezjev

We employ micro-particle image velocimetry ($\mu$-PIV) to investigate laminar micro-flows in hydrophobic microstructured channels, in particular the slip length. These microchannels consist of longitudinal micro-grooves, which can trap air…

On microstructured hydrophobic surfaces, geometrical patterns may lead to the appearance of a superhydrophobic state, where gas bubbles at the surface can have a strong impact on the fluid flow along such surfaces. In particular, they can…

Fluid Dynamics · Physics 2011-04-22 Jari Hyväluoma , Christian Kunert , Jens Harting

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

In microfluidics, varying wetting properties, expressed in terms of the local slip length, can be used to influence the flow of a liquid through a device. We study flow past surfaces on which the slip length is modulated in stripes. We find…

Soft Condensed Matter · Physics 2010-02-12 Nayaz Khalid Ahmed , Martin Hecht

Lubricant-impregnated surfaces (LIS) and superhydrophobic surfaces (SHSs) are known to passively reduce drag over a surface, which, with a suitable design such as the ribbed texture, can also steer flows anisotropically. Analytical…

Fluid Dynamics · Physics 2025-11-19 Vishal Goyal , Subhra Datta

When a liquid droplet is located above a super-hydrophobic surface, it only barely touches the solid portion of the surface, and therefore slides very easily on it. More generally, super-hydrophobic surfaces have been shown to lead to…

Fluid Dynamics · Physics 2010-04-09 Anthony M. J. Davis , Eric Lauga
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