On the validity of the Cassie equation via a mean-field free-energy lattice Boltzmann approach

Zhang, Junfeng; Kwok, Daniel Y.

doi:10.1016/j.jcis.2004.08.158

Cited by 23 publications

(20 citation statements)

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“…The Cassie's law is quite general in a sense that it can describe the surface free enegy of adsorbed liquid films on a heterogeneous surface well [5,6,7], but it should not be connected to the contact angle as Cassie himself did [2]. This fact seems to cause many confusions and misunderstandings of the validity of the Cassie's law [12,13], which we will reconsider in this paper.…”

Section: Introductionmentioning

confidence: 95%

“…Although the validity of Cassie's law is conceptually verified using various theoretical models [5,6,7] and computer simulations using the molecular dynamics [8] and the Monte Carlo method [9], some model calculations [10,11] as well as numerical simulations using lattice Boltzmanm [12] and spin system [13] raised questions about the validity of Cassie's law. This doubt is further reinforced by various recent experimental results [14,15] which became possible through the recent progress of micro and nano-scale fabrication of artificial surfaces.…”

Section: Introductionmentioning

confidence: 99%

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The validity of Cassie's law: A simple exercise using a simplified model

Iwamatsu

2006

Journal of Colloid and Interface Science

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The contact angle of a macroscopic droplet on a heterogeneous but flat substrate is studied using the interface displacement model which can lead to the augmented Young-Laplace equation. Droplets under the condition of constant volume as well as constant vapor pressure are considered. By assuming a cylindrical liquid-vapor surface (meniscus) and minimizing the total free energy of the interface displacement model, we derive an equation which is similar but different from the well known Cassie's law. Our modified Cassie's law is essentially the same as the formula obtained previously by Marmur [J.Colloid Interface Sci. 168, 40 (1994)]. A few consequences from this modified Cassie's law will be briefly described in the following sections of this paper. Several sets of recent experimental results seem to support the validity of our modified Cassie's law.

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Section: Introductionmentioning

confidence: 95%

Section: Introductionmentioning

confidence: 99%

The validity of Cassie's law: A simple exercise using a simplified model

Iwamatsu

2006

Journal of Colloid and Interface Science

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“…Examples include dynamic wetting (D'Ortona et al 1995;Zhang and Kwok 2004b;Briant et al 2002;, capillary filling (Raiskinmaki et al 2002;Wolf et al 2010;Kusumaatmaja et al 2008;Chibbaro et al 2009a;Diotallevi et al 2008Diotallevi et al , 2009a, contact angles and droplet behaviors on patterned (Zhang et al 2009b;Kusumaatmaja et al 2006;Chang and Alexander 2006), heterogeneous (Iwahara et al 2003;Zhang and Kwok 2005b;Dupuis and Yeomans 2004), and rough (Raiskinmaki et al 2000;Kwok 2006a, 2010;Hyvaluoma et al 2007) surfaces. Recently, electrowetting, the increase of contact angle under an applied electrical potential across the liquid and surface, has also been simulated, using the Shan-Chen interparticle potential model (Li and Fang 2009) or the free energy model (Aminfar and Mohammadpourfard 2009).…”

Section: Multiphase Flows and Surface Effectsmentioning

confidence: 99%

Lattice Boltzmann method for microfluidics: models and applications

Zhang

2010

Microfluid Nanofluid

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The lattice Boltzmann method (LBM) has experienced tremendous advances and has been well accepted as a useful method to simulate various fluid behaviors. For computational microfluidics, LBM may present some advantages, including the physical representation of microscopic interactions, the uniform algorithm for multiphase flows, and the easiness in dealing with complex boundary. In addition, LBM-like algorithms have been developed to solve microfluidics-related processes and phenomena, such as heat transfer, electric/magnetic field, and diffusion. This article provides a practical overview of these LBM models and implementation details for external force, initial condition, and boundary condition. Moreover, recent LBM applications in various microfluidic situations have been reviewed, including microscopic gaseous flows, surface wettability and solid-liquid interfacial slip, multiphase flows in microchannels, electrokinetic flows, interface deformation in electric/magnetic field, flows through porous structures, and biological microflows. These simulations show some examples of the capability and efficiency of LBM in computational microfluidics.

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“…Modellvorstellungen folgend unterscheidet man zwei grundlegende Prinzipien der Benetzung rauer hydrophober Oberflächen durch Flüssigkeiten [12] [18,19].…”

Section: Benetzung Rauer Oberflächenunclassified