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 languageEnglish
Pages (from-to)229-240
Number of pages12
JournalCommunications in Numerical Methods in Engineering
Volume14
Issue number3
Publication statusPublished - 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

Simulation of surface tension effect during filling of a thin section cavity via an interface element. / Abdullah, Shahrir; Gethin, David T.

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

Research output: Contribution to journalArticle

@article{2baba581819b4e1297695151425891ed,
title = "Simulation of surface tension effect during filling of a thin section cavity via an interface element",
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.",
keywords = "Filling of thin section, Finite element method, Interface element, Surface tension",
author = "Shahrir Abdullah and Gethin, {David T.}",
year = "1998",
month = "3",
language = "English",
volume = "14",
pages = "229--240",
journal = "International Journal for Numerical Methods in Biomedical Engineering",
issn = "2040-7939",
publisher = "Wiley-Blackwell",
number = "3",

}

TY - JOUR

T1 - Simulation of surface tension effect during filling of a thin section cavity via an interface element

AU - Abdullah, Shahrir

AU - Gethin, David T.

PY - 1998/3

Y1 - 1998/3

N2 - 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.

AB - 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.

KW - Filling of thin section

KW - Finite element method

KW - Interface element

KW - Surface tension

UR - http://www.scopus.com/inward/record.url?scp=0032025475&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032025475&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0032025475

VL - 14

SP - 229

EP - 240

JO - International Journal for Numerical Methods in Biomedical Engineering

JF - International Journal for Numerical Methods in Biomedical Engineering

SN - 2040-7939

IS - 3

ER -