Communications in Mathematical Sciences

Computation of a Moving Drop/Bubble on a Solid Surface using a Front-Tracking Method

Huaxiong Huang, Dong Liang, and Brian Wetton

Abstract

In this paper we outline a front-tracking method for computing the moving contact line. In particular, we are interested in the motion of two-dimensional drops and bubbles on a partially wetting surface exposed to shear flows. Peskin's Immersed Boundary Method is used to model the liquid-gas interface, similar to the approach used by Unverdi and Traggvason. The movement near the moving contact line is modelled by a slip condition, the value of the dynamic contact angle is determined by a linear model, and the local forces are introduced at the moving contact lines based on a relationship of moving contact angle and contact line speed. Numerical examples show that the method can be applied to the motion of drops and bubbles on a solid surface over a wide range of parameter values.

Article information

Source
Commun. Math. Sci., Volume 2, Number 4 (2004), 535-552.

Dates
First available in Project Euclid: 3 March 2005

Permanent link to this document
https://projecteuclid.org/euclid.cms/1109885497

Mathematical Reviews number (MathSciNet)
MR2119928

Zentralblatt MATH identifier
1161.76541

Citation

Huang, Huaxiong; Liang, Dong; Wetton, Brian. Computation of a Moving Drop/Bubble on a Solid Surface using a Front-Tracking Method. Commun. Math. Sci. 2 (2004), no. 4, 535--552. https://projecteuclid.org/euclid.cms/1109885497


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