# Simulation of surface tension effect during filling of a thin section cavity via an interface element

Shahrir Abdullah, David T. Gethin

Research output: Contribution to journalArticle

### Abstract

An interface element to model the pressure discontinuity due to surface tension when applied to the filling of a thin section cavity is presented. The equations used to form the element matrix for the interface element are the line integral form of the continuity and momentum equations. During the development of the finite element model, the pressure difference across the free surface due to surface tension is treated as an additional traction and is applied to all element sides which form the free surface. Simple numerical examples are then presented to illustrate the technique on the filling of a rectangular thin section cavity.

Original language English 229-240 12 Communications in Numerical Methods in Engineering 14 3 Published - Mar 1998

### Fingerprint

Interface Element
Surface Tension
Free Surface
Surface tension
Cavity
Pressure
Traction (friction)
Integral form
Traction
Curvilinear integral
Finite Element Model
Discontinuity
Momentum
Simulation
Numerical Examples
Model

### Keywords

• Filling of thin section
• Finite element method
• Interface element
• Surface tension

### ASJC Scopus subject areas

• Engineering (miscellaneous)
• Computational Mechanics
• Applied Mathematics

### Cite this

In: Communications in Numerical Methods in Engineering, Vol. 14, No. 3, 03.1998, p. 229-240.

Research output: Contribution to journalArticle

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