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One-Dimensional Analysis of Gas Diffusion-Induced Cassie to Wenzel State Transition

[+] Author and Article Information
Jonah Kadoko

Department of Mechanical Engineering Tufts University Medford, MA 02155
jonah.kadoko@tufts.edu

Georgios Karamanis

Department of Mechanical Engineering Tufts University Medford, MA 02155
georgios.karamanis@tufts.edu

Toby Kirk

Department of Mathematics Imperial College London London, UK
toby.kirk12@imperial.ac.uk

Marc Hodes

Department of Mechanical Engineering Tufts University Medford, MA 02155
marc.hodes@tufts.edu

1Corresponding author.

ASME doi:10.1115/1.4036600 History: Received October 20, 2016; Revised April 21, 2017

Abstract

We develop a one-dimensional model for transient diffusion of gas between ridges into a quiescent liquid suspended in the Cassie state above them. In the first case study, we assume the liquid and gas are initially at the same pressure and that the liquid column is sealed at the top. In the second case study, we assume that the gas initially undergoes isothermal compression and that the liquid column is exposed to gas at the top. Our model provides a framework to compute the transient gas concentration field in the liquid, the time when the triple contact line begins to move down the ridges and the time when menisci reach the bottom of the substrate compromising the Cassie state. At illustrative conditions, we show the effects of geometry, hydrostatic pressure and initial gas concentration on the Cassie to Wenzel state transition.

Copyright (c) 2017 by ASME
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