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Boundary conditions at a liquid-solid interface are crucial to dynamics of a liquid film coated on a fibre. Here a theoretical framework based on axisymmetric Stokes equations is developed to explore the influence of liquid-solid slip on…

Fluid Dynamics · Physics 2023-01-25 Chengxi Zhao , Yixin Zhang , Ting Si

Several methods for handling sloping fluid-solid interfaces with the elastic parabolic equation are tested. A single-scattering approach that is modified for the fluid-solid case is accurate for some problems but breaks down when the…

Computational Physics · Physics 2020-05-22 Michael D. Collins , Adith Ramamurti

Inspired by applications, we study the effect of interface slip on the effective wave propagation in poroelastic composites. The current literature on the homogenization for the poroelastic wave equations are all based on the no-slip…

Analysis of PDEs · Mathematics 2022-06-17 Miao-jung Yvonne Ou , Silvia Jiménez Bolaños

The Newtonian dynamics of strongly confined fluids exhibits a rich behavior. Its confined and unconfined degrees of freedom decouple for confinement length $L \to 0$. In that case and for a slit geometry the intermediate scattering…

Statistical Mechanics · Physics 2016-06-03 Rolf Schilling

Robust surfaces capable of reducing flow drag, controlling heat and mass transfer, and resisting fouling in fluid flows are important for various applications. In this context, textured surfaces impregnated with a liquid lubricant show…

The hydrodynamic slippage at a solid-liquid interface is currently at the center of our understanding of fluid mechanics. For hundreds of years this science has relied upon no-slip boundary conditions at the solid-liquid interface that has…

Soft Condensed Matter · Physics 2015-03-17 Olga I. Vinogradova , Aleksey V. Belyaev

In this paper, we present a novel approach to model the fluid/solid interaction forces in a direct solver of the Navier-Stokes equations based on the volume of fluid interface tracking method. The key ingredient of the model is the explicit…

Fluid Dynamics · Physics 2015-06-16 Kyle Mahady , Shahriar Afkhami , Lou Kondic

We introduce a novel approach to simulate the interaction between fluids and thin elastic solids without any penetration. Our approach is centered around an optimization system augmented with barriers, which aims to find a configuration…

Graphics · Computer Science 2026-05-04 Yuchen Sun , Jinyuan Liu , Yin Yang , Chenfanfu Jiang , Minchen Li , Bo Zhu

Superhydrophobic surfaces reduce drag by combining hydrophobicity and roughness to trap gas bubbles in a micro- and nanoscopic texture. Recent work has focused on specific cases, such as striped grooves or arrays of pillars, with limited…

Fluid Dynamics · Physics 2009-11-13 François Feuillebois , Martin Z. Bazant , Olga I. Vinogradova

The thin-liquid film drainage between two curved surfaces is a fundamental process for many hydrodynamic measurements, for which Vinogradova's formula has played a central role when flow slip occurs at fluid-solid interfaces. By performing…

Soft Condensed Matter · Physics 2014-07-22 Angbo Fang

Some fluids exhibit anomalously low friction when flowing against a certain solid wall. To recover the viscosity of a bulk fluid, slip at the wall is usually postulated. On a macroscopic level, a large slip length can be explained as a…

Soft Condensed Matter · Physics 2009-11-10 D. Andrienko , Burkhard Dünweg , Olga I. Vinogradova

This paper presents a rigorous derivation of an effective model for fluid flow through a thin elastic porous membrane separating two fluid bulk domains. The microscopic setting involves a periodically structured porous membrane composed of…

Analysis of PDEs · Mathematics 2025-08-07 Markus Gahn , Maria Neuss-Radu

Curtain coating, in which a moving plate is coated by a falling liquid sheet, sustains advancing contact lines at large capillary numbers Ca ~ O(1), based on plate speed. Steady states exist up to a critical capillary number, beyond which…

Fluid Dynamics · Physics 2026-05-04 Yash Kulkarni , Tomas Fullana , Stephane Popinet , Stephane Zaleski

Carbonous materials, such as graphene and carbon nanotube, have attracted tremendous attention in the fields of nanofluidics due to the slip at the interface between solid and liquid. The dependence of slip length for water on the types of…

Fluid Dynamics · Physics 2022-06-29 Han Li , Zhi Xu , Chen Ma , Ming Ma

Superhydrophobic surfaces have been shown to produce significant drag reduction in both laminar and turbulent flows by introducing an apparent slip velocity along an air-water interface trapped within the surface roughness. In the…

Fluid Dynamics · Physics 2018-04-02 Dong Song , Baowei Song , Haibao Hu , Xiaosong Du , Peng Du , Chang-Hwan Choi , Jonathan P. Rothstein

Using the observation that slip in simple fluids at low and moderate shear rates is a thermally activated process driven by the shear stress in the fluid close to the solid boundary, we develop a molecular-kinetic model for simple fluid…

Fluid Dynamics · Physics 2019-07-03 Gerald J. Wang , Nicolas G. Hadjiconstantinou

When a fluid flows past a solid surface, its macroscopic motion arises from a subtle interplay between microscopic hydrodynamic and thermodynamic effects at the fluid-solid interface. Classical hydrodynamic models often rely on an…

Fluid Dynamics · Physics 2026-02-04 Haodong Zhang , Fei Wang , Britta Nestler

Both Newtonian and non-Newtonian fluids may exhibit complex slip behaviour at the boundary. We examine a broad class of slip boundary conditions that generalises the commonly used Navier slip, perfect slip, stick-slip and Tresca friction…

Numerical Analysis · Mathematics 2025-02-14 Pablo Alexei Gazca-Orozco , Franz Gmeineder , Erika Maringová Kokavcová , Tabea Tscherpel

Interfacial hydrodynamic slippage of water depends on both on surface chemistry and roughness. This study tries to connect the effect of chemical property and the physical structure of the surface on the interfacial slippage of water. By…

Fluid Dynamics · Physics 2016-05-10 Chinmay Anand Misra , Chirodeep Bakli

Although many molecular dynamics simulations have been conducted on slip flow on graphene, experimental efforts remain very limited and our understanding of the flow friction on graphene remains far from sufficient. Here, to accurately…

Fluid Dynamics · Physics 2021-12-28 Kuan-Ting Chen , Qin-Yi Li , Takeshi Omori , Yasutaka Yamaguchi , Tatsuya Ikuta , Koji Takahashi
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