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We give a general theoretical description of electro-osmotic flow at striped super-hydrophobic surfaces in a thin double layer limit, and derive a relation between the electro-osmotic mobility and hydrodynamic slip-length tensors. Our…

Soft Condensed Matter · Physics 2015-05-27 Aleksey V. Belyaev , Olga I. Vinogradova

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…

Fluid Dynamics · Physics 2015-05-19 Francois Feuillebois , Martin Z. Bazant , Olga I. Vinogradova

A convenient approach to derive simple expressions for properties of Stokes flows with low levels of slip is presented. The method is based on a series expansion of a Stokes-flow solution (one satisfying a Navier slip boundary condition)…

Fluid Dynamics · Physics 2025-01-28 Duncan A. Lockerby

Superhydrophobic surfaces demonstrate promising potential for skin friction reduction in naval and hydrodynamic applications. Recent developments of superhydrophobic surfaces aiming for scalable applications use random distribution of…

Fluid Dynamics · Physics 2018-04-11 Jongmin Seo , Ali Mani

We analyze theoretically a high-speed drainage of liquid films squeezed between a hydrophilic sphere and a textured super-hydrophobic plane, that contains trapped gas bubbles. A super-hydrophobic wall is characterized by parameters $L$…

Fluid Dynamics · Physics 2014-01-23 Evgeny S. Asmolov , Aleksey V. Belyaev , Olga I. Vinogradova

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…

Riblets and superhydrophobic surfaces are two demonstrated passive drag reduction techniques. We describe a method to fabricate surfaces that combine both of these techniques in order to increase drag reduction properties. Samples have been…

Fluid Dynamics · Physics 2014-06-04 Charlotte Barbier , Elliot Jenner , Brian D'Urso

In this work, we develop a computational framework that aims at simultaneously optimizing the shape and the slip velocity of an axisymmetric microswimmer suspended in a viscous fluid. We consider shapes of a given reduced volume that…

Optimization and Control · Mathematics 2024-05-02 Ruowen Liu , Hai Zhu , Hanliang Guo , Marc Bonnet , Shravan Veerapaneni

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

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

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

The effect of random surface roughness on hydrodynamics of viscous incompressible liquid is discussed. Roughness-driven contributions to hydrodynamic flows, energy dissipation, and friction force are calculated in a wide range of…

Soft Condensed Matter · Physics 2009-11-07 I. V. Ponomarev , A. E. Meyerovich

The influence of periodic and random surface textures on the flow structure and effective slip length in Newtonian fluids is investigated by molecular dynamics (MD) simulations. We consider a situation where the typical pattern size is…

Soft Condensed Matter · Physics 2011-11-24 Nikolai V. Priezjev

We consider shear-driven longitudinal flow of an exterior fluid over a periodic array of rectangular grooves filled with an immiscible interior fluid (the "lubricant"), the grooves being formed by infinitely thin ridges protruding from a…

Fluid Dynamics · Physics 2026-01-16 Gunnar G. Peng , Ehud Yariv , Ory Schnitzer

We investigate the behavior of the slip length in Newtonian liquids subject to planar shear bounded by substrates with mixed boundary conditions. The upper wall, consisting of a homogenous surface of finite or vanishing slip, moves at a…

Soft Condensed Matter · Physics 2009-11-10 Nikolai V. Priezjev , Anton A. Darhuber , Sandra M. Troian

Understanding contact line dynamics on superhydrophobic surfaces with microscopic structures is essential for designing materials with reduced drag, anti-icing, self-cleaning, and anti-fouling properties. Using numerical simulations, we…

Fluid Dynamics · Physics 2025-11-27 Pawan Kumar , Marta Krasowska , Joseph D. Berry

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

We model a slip boundary condition at fluid-solid interface of an arbitrary geometry in smoothed particle hydrodynamics and smoothed dissipative particle dynamics simulations. Under an assumption of linear profile of the tangential velocity…

Fluid Dynamics · Physics 2023-03-14 Xinwei Cai , Zhen Li , Xin Bian

We present a quantitative analysis of the effect of rough hydrophobic surfaces on viscous newtonian flows. We use a model introduced by Ybert and coauthors in which the rough surface is replaced by a flat plane with alternating small areas…

Analysis of PDEs · Mathematics 2015-02-20 Matthieu Bonnivard , Anne-Laure Dalibard , David Gérard-Varet

Analytical expressions for the flow field as well as for the effective slip length of a shear flow over a surface with periodic rectangular grooves are derived. The primary fluid is in the Cassie state with the grooves being filled with a…

Fluid Dynamics · Physics 2015-06-18 Clarissa Schönecker , Tobias Baier , Steffen Hardt