Spreading of nonvolatile liquids in a continuum picture

Brochard‐Wyart, Françoise; Meglio, J.-M. di; Quéré, David; Gennes, P. G. de

doi:10.1021/la00050a023

Cited by 337 publications

(402 citation statements)

References 0 publications

Supporting

Mentioning

381

Contrasting

Order By: Relevance

“…The modified Cassie's law (16) and (22) we found requires the average of the local contact angle along the edge of the droplet rather than the contact area of the droplet. We also studied a droplet which can move freely along the surface.…”

Section: Discussionmentioning

confidence: 84%

“…where cos φ is given by (16). So, we can recover the modified Cassie's law (15) again for the constant volume case as well as the constant pressure case.…”

Section: Drop In the Undersaturated Vapormentioning

confidence: 86%

“…To this end, we will take the continuum model and use the framework of the so-called interface displacement model [5,16]. By solving the augmented Young-Laplace equation derived from the interface displacement model, and minimizing the model free energy for a cylindrical droplet, we will derive a formula for the contact angle of the droplet on a heterogeneous surface.…”

Section: Introductionmentioning

confidence: 99%

“…The format of this paper is as follows: section2 will be a review of Cassie's law and the interface displacement model [5,16] which leads to the augmented Young-Laplace equation. In section 3, a simplified model will be used to derive the expression for the apparent contact angle.…”

Section: Introductionmentioning

confidence: 99%

“…In order to verify this Cassie's law as a formula to predict the observed apparent contact angle on a heterogeneous surface, we will use the so-called interface displacement model [5,16] and the corresponding augmented Young-Laplace equation. The free energy functional F of wetting layer with thickness z(x) on a smooth surface along x axis in an environment of undersaturated vapor pressure p 0 is given by…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

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

Iwamatsu

2006

Journal of Colloid and Interface Science

View full text Add to dashboard Cite

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.

show abstract

Section: Discussionmentioning

confidence: 84%

“…where cos φ is given by (16). So, we can recover the modified Cassie's law (15) again for the constant volume case as well as the constant pressure case.…”

Section: Drop In the Undersaturated Vapormentioning

confidence: 86%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

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

Iwamatsu

2006

Journal of Colloid and Interface Science

View full text Add to dashboard Cite

show abstract

Heterogeneous Nucleation on a Completely Wettable Substrate

Iwamatsu¹

2013

Advances in Contact Angle, Wettability and Adhesion

View full text Add to dashboard Cite

It is widely believed that heterogeneous nucleation occurs without an activation process when the surface is completely wettable. In this report, we review our previous work [J.Chem.Phys 134, 234709 (2011)] to show that the critical nucleus (droplet) can exist and the activation process may be observable. In fact, a critical nucleus and a free energy barrier always exist if the surface potential or the disjoining pressure allows for the firstorder pre-wetting transition on a completely wettable substrate where the contact angle is zero. Furthermore, the critical nucleus changes character from the critical nucleus of surface phase transition below bulk coexistence (undersaturation) to the critical nucleus of bulk heterogeneous nucleation above the coexistence (oversaturation) when it crosses the coexistence. In this paper the morphology and work of formation of a critical nucleus on a completely-wettable substrate are re-examined to point out the possibility of observing a critical droplet on a completely wettable substrate. *

show abstract