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The wetting properties of solid substrates with 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. It is shown that Wenzel…

Soft Condensed Matter · Physics 2016-10-05 Stephan Herminghaus

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

Conventional wetting theories on rough surfaces with Wenzel, Cassie-Baxter, and Penetrate modes suggest the possibility of tuning the contact angle by adjusting the surface texture. Despite decades of intensive study, there are still many…

Fluid Dynamics · Physics 2018-05-08 Donggyu Kim , Nicola M. Pugno , Seunghwa Ryu

he contact angle of a liquid droplet on a surface under partial wetting conditions differs for a nanoscopically rough or periodically corrugated surface from its value for a perfectly flat surface. Wenzel's relation attributes this…

Soft Condensed Matter · Physics 2020-06-24 Sergei A. Egorov , Kurt Binder

Hypothesis Emerging energy-related technologies deal with multiscale hierarchical structures, intricate surface morphology, non-axisymmetric interfaces, and complex contact lines where wetting is difficult to quantify with classical…

Fluid Dynamics · Physics 2021-08-24 Chenhao Sun , James McClure , Steffen Berg , Peyman Mostaghimi , Ryan T. Armstrong

Any solid surface is intrinsically rough on the microscopic scale. In this paper, we study the effect of this roughness on the wetting properties of hydrophilic substrates. Macroscopic arguments, such as those leading to the well-known…

Mesoscale and Nanoscale Physics · Physics 2014-11-25 Alexandr Malijevský

We analyze theoretically complete wetting of a substrate supporting an array of parallel, vertical plates which can tilt elastically. The adsorbed liquid tilts the plates, inducing clustering, and thus modifies the substrate geometry. In…

Soft Condensed Matter · Physics 2012-02-08 N. R. Bernardino , S. Dietrich

The continuum model related to the Winterbottom problem, i.e., the problem of determining the equilibrium shape of crystalline drops resting on a substrate, is derived in dimension two by means of a rigorous discrete-to-continuum passage by…

Analysis of PDEs · Mathematics 2020-10-20 Paolo Piovano , Igor Velčić

The ability to control wettability is important for a wide range of technological applications in which precise microfluidic handling is required. It is known that predesigned roughness at a micro- or nano- scale enhances the wetting…

Soft Condensed Matter · Physics 2013-04-09 Michail E. Kavousanakis , Carlos E. Colosqui , Athanasios G. Papathanasiou

One of the most questionable issues in wetting is the vertical force balance that is excluded in Young's law. On soft deformable solids, such as biotic materials and synthetic polymers, the vertical force of liquid leads to a microscopic…

Soft Condensed Matter · Physics 2013-12-31 Su Ji Park , Byung Mook Weon , Ji San Lee , Junho Lee , Jinkyung Kim , Jung Ho Je

Young's law fails on soft solid and liquid substrates where there are substantial deformations near the contact line. On liquid substrates, this is captured by Neumann's classic analysis, which provides a geometrical construction for…

Soft Condensed Matter · Physics 2015-03-13 Robert W. Style , Eric R. Dufresne

We investigate theoretically the possibility of a wetting transition induced by geometric roughness of a solid substrate for the case where the flat substrate does not show a wetting layer. Our approach makes use of a novel closed-form…

Soft Condensed Matter · Physics 2009-10-31 R. R. Netz , D. Andelman

Complete wetting of geometrically structured substrates by one-component fluids with long-ranged interactions is studied. We consider periodic arrays of rectangular or parabolic grooves and lattices of cylindrical or parabolic pits. We show…

Statistical Mechanics · Physics 2009-11-11 M. Tasinkevych , S. Dietrich

It is established that roughness and chemistry play a crucial role in the wetting properties of a substrate. Yet, few studies have analyzed systematically the effect of the non-uniformity in the distribution of texture and surface tension…

Soft Condensed Matter · Physics 2019-05-07 Davi Lazzari , Carolina Brito

Hypothesis Understanding wetting behavior is of great importance for natural systems and technological applications. The traditional concept of contact angle, a purely geometrical measure related to curvature, is often used for…

We study the interfacial phenomenology of a fluid in contact with a microstructured substrate within the mean-field approximation. The sculpted substrate is a one-dimensional array of infinitely long grooves of sinusoidal section of…

Soft Condensed Matter · Physics 2015-06-22 Alvaro Rodriguez-Rivas , Jose Antonio Galvan Moreno , Jose M. Romero-Enrique

An exact solution of a two dimensional RSOS model of wetting at a corrugated (periodic) wall is found using transfer matrix techniques. In contrast to mean-field analysis of the same problem the wetting transition remains second-order and…

Soft Condensed Matter · Physics 2009-10-30 P. S. Swain , A. O. Parry

The wetting and filling properties of a fluid adsorbed on a solid grooved substrate are studied by means of a microscopic density functional theory. The grooved substrates are modelled using a solid slab, interacting with the fluid…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Alexandr Malijevsky

Replica and functional renormalization group methods show that, with short range substrate forces or in strong fluctuation regimes, wetting of a self-affine rough wall in 2D turns first-order as soon as the wall roughness exponent exceeds…

Statistical Mechanics · Physics 2009-10-31 Attilio L. Stella , Giovanni Sartoni

When a drop of water is placed on a rough surface, there are two possible extreme regimes of wetting: the one called Cassie-Baxter (CB) with air pockets trapped underneath the droplet and the one characterized by the homogeneous wetting of…

Soft Condensed Matter · Physics 2015-10-16 Heitor C. M. Fernandes , Mendeli H. Vainstein , Carolina Brito
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