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Developing a novel continuum model of static and dynamic contact angles in a case study of a water droplet on micro-patterned hybrid substrates

Published online by Cambridge University Press:  06 November 2018

Arash Azimi ,
Ping He Open the ORCID record for Ping He [Opens in a new window] ,
Chae Rohrs  and
Chun-Wei Yao
Arash Azimi
Affiliation:
Department of Mechanical Engineering, Lamar University, Beaumont, TX 77710, USA
Ping He*
Affiliation:
Department of Mechanical Engineering, Lamar University, Beaumont, TX 77710, USA
Chae Rohrs
Affiliation:
Department of Mechanical Engineering, Lamar University, Beaumont, TX 77710, USA
Chun-Wei Yao
Affiliation:
Department of Mechanical Engineering, Lamar University, Beaumont, TX 77710, USA
*
Address all correspondence to Ping He at phe@lamar.edu
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Abstract

Modeling static and dynamic contact angles is a great challenge in studying wetting and de-wetting. We propose a new slip boundary model based on the Navier–Stokes equations, and establish a realistic continuum approach to simulate the contact line dynamics in 3-D. To validate our model, a water droplet interacting with micrometer-sized patterns of a hybrid hydro-phobic/-philic surface is studied numerically and compared with experimental measurements. Good agreement has been observed with four pillar spacings in the static, receding, and advancing modes. Moreover, details of the droplet–surface interaction are revealed, i.e., penetrations, sagging, local, and global contact angles.

Type
Research Letters
Information
MRS Communications , Volume 8 , Issue 4 , December 2018 , pp. 1445 - 1454
Copyright
Copyright © Materials Research Society 2018 

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