Commun. Comput. Phys., 9 (2011), pp. 1165-1178.


Contact Angle Determination in Multicomponent Lattice Boltzmann Simulations

Sebastian Schmieschek 1, Jens Harting 1*

1 Institute for Computational Physics, University of Stuttgart, Pfaffenwaldring 27, 70569 Stuttgart, Germany; and Department of Applied Physics, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands.

Received 20 October 2009; Accepted (in revised version) 27 October 2010
Available online 14 January 2011
doi:10.4208/cicp.201009.271010s

Abstract

Droplets on hydrophobic surfaces are ubiquitous in microfluidic applications and there exists a number of commonly used multicomponent and multiphase lattice Boltzmann schemes to study such systems. In this paper we focus on a popular implementation of a multicomponent model as introduced by Shan and Chen. Here, interactions between different components are implemented as repulsive forces whose strength is determined by model parameters. In this paper we present simulations of a droplet on a hydrophobic surface. We investigate the dependence of the contact angle on the simulation parameters and quantitatively compare different approaches to determine it. Results show that the method is capable of modelling the whole range of contact angles. We find that the a priori determination of the contact angle is depending on the simulation parameters with an uncertainty of 10 % to 20 %.


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PACS: 47.55.D-, 47.11.-j
Key words: Lattice Boltzmann, Shan-Chen model, contact angle, droplets, hydrophobic surface.

*Corresponding author.
Email: sschmie@icp.uni-stuttgart.de (S. Schmieschek), j.harting@tue.nl (J. Harting)
 

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