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The quality of a liquid-repellent surface is quantified by both the apparent contact angle $\theta_0$ that a sessile drop adopts on it, and the value of the liquid pressure threshold the surface can withstand without being impaled by the…

Fluid Dynamics · Physics 2010-10-12 Thi Phuong Nhung Nguyen , Philippe Brunet , Yannick Coffinier , Rabah Boukherroub

I study the effect of length polydispersity in the surface phase diagram of hard rods interacting with a hard wall. The properly extended interface Gibbs-Duhem equation for a polydisperse system allows us to predict the behaviour of the…

Soft Condensed Matter · Physics 2007-05-23 Y. Martinez-Raton

The measurement of real contact area between rough surfaces is one of most challenge problems in contact mechanics and is of importance to understand some physical mechanisms in tribology. Based on the frustrated total internal reflection,…

Applied Physics · Physics 2021-07-08 Lei-Tao Li , Xuan-Ming Liang , Yu-Zhe Xing , Duo Yan , Gang-Feng Wang

The numerical prediction of droplet base radius and contact angle depends on the choice of characteristic radius and height of droplet. In this study, a developed model on the basis of lubrication approximation is used to investigate the…

Fluid Dynamics · Physics 2017-08-01 Debanik Bhattacharjee , Hadi Nazaripoor , Mohtada Sadrzadeh

In this paper we study the formation of nanodrops on curved surfaces (both convex and concave) by means of molecular dynamics simulations, where the particles interact via a Lennard-Jones potential. We find that the contact angle is not…

Fluid Dynamics · Physics 2017-07-14 Shantanu Maheshwari , Martin van der Hoef , Detlef Lohse

We consider a liquid drop placed on a smooth homogeneous solid substrate as it spreads from rest to its eventual equilibrium state. The problem is studied numerically in the framework of a model where the contact angle formed by the drop's…

Fluid Dynamics · Physics 2022-08-18 Carlos A. Galeano-Rios

The study of wetting phenomena is of great interest due to the multifaceted technological applications of hydrophobic and hydrophilic surfaces. The theoretical approaches proposed by Wenzel and later by Cassie and Baxter to describe the…

Soft Condensed Matter · Physics 2021-10-15 Marion Silvestrini , Antonio Tinti , Alberto Giacomello , Carolina Brito

We show that in general, the specification of a contact angle condition at the contact line in inviscid fluid motions is incompatible with the classical field equations and boundary conditions generally applicable to them. The limited…

Mathematical Physics · Physics 2007-05-23 P N Shankar , R Kidambi

We investigate the effective coupling between heat and fluid dynamics within a thin fluid layer in contact with a solid structure via a rough surface. Moreover, the opposing vertical surfaces of the thin layer are in relative motion. This…

Analysis of PDEs · Mathematics 2026-04-17 Tom Freudenberg , Michael Eden

A study of the relation between the electrostatic charge density at a point on a conducting surface and the curvature of the surface (at that point) is presented. Two major scientific literature on this topic are reviewed and the apparent…

Classical Physics · Physics 2016-02-18 Kolahal Bhattacharya

When two solids are squeezed together they will in general not make atomic contact everywhere within the nominal (or apparent) contact area. This fact has huge practical implications and must be considered in many technological…

Soft Condensed Matter · Physics 2007-07-12 Bo N. J. Persson

We conduct minimal-channel direct numerical simulations of turbulent flow over two-dimensional rectangular bars aligned in the spanwise direction. This roughness has been often described as $d$-type, as the roughness function $\Delta U^+$…

Fluid Dynamics · Physics 2020-12-09 M. MacDonald , A. Ooi , R. García-Mayoral , N. Hutchins , D. Chung

When two chemically passivated solids are brought into contact, interfacial interactions between the solids compete with intrabulk elastic forces. The relative importance of these interactions, which are length-scale dependent, will be…

Materials Science · Physics 2009-11-10 Martin H. Müser

Direct numerical simulation of open-channel flow over a bed of spheres arranged in a regular pattern has been carried out at bulk Reynolds number and roughness Reynolds number (based on sphere diameter) of approximately 6900 and 120,…

Fluid Dynamics · Physics 2017-07-20 Marco Mazzuoli , Markus Uhlmann

I study fluid flow at the interface between elastic solids with randomly rough surfaces. I use the contact mechanics model of Persson to take into account the elastic interaction between the solid walls and the Bruggeman effective medium…

Soft Condensed Matter · Physics 2015-05-18 B. N. J. Persson

We discuss how the wettability and roughness of a solid impacts its hydrodynamic properties. We see in particular that hydrophobic slippage can be dramatically affected by the presence of roughness. Owing to the development of refined…

Soft Condensed Matter · Physics 2015-05-20 Olga I. Vinogradova , Aleksey V. Belyaev

The nature of adhesion of droplets to surfaces is a long pending scientific question. With the evolution of complex surfaces, quantification and prediction of these forces become intricate. Nevertheless, understanding these forces is highly…

Soft Condensed Matter · Physics 2021-10-14 David Feldmann , Bat-El Pinchasik

We propose a phenomenological equation to describe kinetic roughening of a growing surface in presence of long range interactions. The roughness of the evolving surface depends on the long range feature, and several distinct scenarios of…

Statistical Mechanics · Physics 2009-10-30 Sutapa Mukherji , Somendra M. Bhattacharjee

Recent experiments have shown that surface stresses in soft materials can have a significant strain-dependence. Here we explore the implications of this surface elasticity to show how, and when, we expect it to arise. We develop the…

Soft Condensed Matter · Physics 2020-05-28 Robert W. Style , Qin Xu

The wetting properties of solid substrates with customary (i.e., macroscopic) random roughness are considered as a function of the microscopic contact angle of the wetting liquid and its partial pressure in the surrounding gas phase.…

Soft Condensed Matter · Physics 2015-03-19 S. Herminghaus