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In this investigation we revisit the concept of "effective free surfaces" arising in the solution of the time-averaged fluid dynamics equations in the presence of free boundaries. This work is motivated by applications of the optimization…

Fluid Dynamics · Physics 2012-09-04 R. Yapalparvi , B. Protas

We consider the homogenization of the Navier-Stokes equation, set in a channel with a rough boundary, of small amplitude and wavelength $\epsilon$. It was shown recently that, for any non-degenerate roughness pattern, and for any reasonable…

Analysis of PDEs · Mathematics 2010-08-31 Anne-Laure Dalibard , David Gérard-Varet

In this contribution we review recent efforts on investigations of the effect of (apparent) boundary slip by utilizing lattice Boltzmann simulations. We demonstrate the applicability of the method to treat fundamental questions in…

Fluid Dynamics · Physics 2009-10-20 Jens Harting , Christian Kunert , Jari Hyväluoma

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

In this current work, a comprehensive investigation into the impact dynamics of superhydrophobic and lubricant-impregnated aluminium sphere balls on liquid surfaces were carried out. The study delves into the hydrodynamic lubrication…

Fluid Dynamics · Physics 2025-08-06 Abhishek Mund , Shubham S. Ganar , Arindam Das

The motion of submerged magnetic microspheres rolling at a glass-water interface has been studied using magnetic rotation and optical tweezers combined with bright-field microscopy particle tracking techniques. Individual microspheres of…

Optics · Physics 2008-09-15 Rodney R. Agayan , Ron G. Smith , Raoul Kopelman

We have performed molecular dynamics simulations of solid-solid contacts lubricated by a model fluid displaying many of the properties of water, particularly its expansive freezing. Near the region where expansive freezing occurs, the…

Condensed Matter · Physics 2009-11-07 E. A. Jagla

The lubrication theory is mostly concerned with the behavior of a lubricant flowing through a narrow gap. Motivated by the experimental findings from the tribology literature, we take the lubricant to be micropolar fluid and study its…

Analysis of PDEs · Mathematics 2025-07-16 Matthieu Bonnivard , Igor Pazanin , Francisco Suarez-Grau

We present a mesoscopic model of the fluid-wall interactions for flows in microchannel geometries. We define a suitable implementation of the boundary conditions for a discrete version of the Boltzmann equations describing a wall-bounded…

Chaotic Dynamics · Physics 2007-06-13 R. Benzi , L. Biferale , M. Sbragaglia , S. Succi , F. Toschi

We present fluid dynamics videos illustrating wetting splashing-produced by water drop impact onto hydrophobic microstructures at high impact velocity ($\sim 3$ ms$^{-1}$). The substrate consists of regular and transparent microtextures in…

Fluid Dynamics · Physics 2010-10-18 Peichun Tsai , Maurice Hendrix , Remko Dijkstra , Detlef Lohse

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

We study slip boundary conditions for simple fluids at surfaces with nanoscale chemical heterogeneities. Using a perturbative approach, we examine the flow of a Newtonian fluid far from a surface described by a heterogeneous Navier slip…

Fluid Dynamics · Physics 2007-12-21 S. C. Hendy , N. J. Lund

Superhydrophobicity is connected to the presence of gas pockets within surface asperities. Upon increasing the pressure this "suspended" state may collapse, causing the complete wetting of the rough surface. In order to quantitatively…

Mesoscale and Nanoscale Physics · Physics 2017-02-02 Matteo Amabili , Alberto Giacomello , Simone Meloni , Carlo Massimo Casciola

We show that an electro-osmotic flow near the slippery hydrophobic surface depends strongly on the mobility of surface charges, which are balanced by counter-ions of the electrostatic diffuse layer. For a hydrophobic surface with immobile…

Fluid Dynamics · Physics 2015-04-03 S. R. Maduar , A. V. Belyaev , V. Lobaskin , O. I. Vinogradova

Experiments are presented that demonstrate how liquid-infused surfaces can reduce turbulent drag significantly in Taylor-Couette flow. The test liquid was water, and the test surface was composed of square microscopic grooves measuring 100…

Fluid Dynamics · Physics 2017-10-11 Tyler Van Buren , Alexander Smits

In this paper we consider the effect of surface heterogeneity on the slippage of fluid, using two complementary approaches. First, MD simulations of a corrugated hydrophobic surface have been performed. A dewetting transition, leading to a…

In this Letter, the falling of super-hydrophobic spheres is investigated experimentally at low Reynolds numbers. In particular, we show that super-hydrophobic coatings become ineffective at reducing drag unlike predicted by theoretical and…

Fluid Dynamics · Physics 2018-10-24 Marco Castagna , Nicolas Mazellier , Pierre-Yves Passaggia , Azeddine Kourta

This article experimentally investigates the exit dynamics of two different spheres i.e. a smooth sphere and a sphere with dimples at a constant speed. Employing high-speed experimental observations, the study investigates the key…

Fluid Dynamics · Physics 2024-01-17 Intesaaf Ashraf , Stephane Dorbolo

t has been shown that the flow of a simple liquid over a solid surface can violate the so-called no-slip boundary condition. We investigate the flow of polar liquids, water and glycerol, on a hydrophilic Pyrex surface and a hydrophobic…

Soft Condensed Matter · Physics 2009-11-07 C. Cottin-Bizonne , S. Jurine , J. Baudry , J. Crassous , F. Restagno , Charlaix

Interfacial boundary conditions determined from empirical or ad-hoc models remain the standard approach to model fluid flows over porous media, even in situations where the topology of the porous medium is known. We propose a non-empirical…

Fluid Dynamics · Physics 2017-01-16 Uǧis Lācis , Shervin Bagheri