Premium
Solving viscoelastic free surface flows of a second‐order fluid using a marker‐and‐cell approach
Author(s) -
Tomé M. F.,
Doricio J. L.,
Castelo A.,
Cuminato J. A.,
McKee S.
Publication year - 2006
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1298
Subject(s) - die swell , free surface , viscoelasticity , planar , surface (topology) , deborah number , convergence (economics) , mechanics , surface tension , mathematics , flow (mathematics) , computational fluid dynamics , physics , classical mechanics , geometry , materials science , computer science , thermodynamics , extrusion , computer graphics (images) , economics , metallurgy , economic growth
This work is concerned with the numerical simulation of two‐dimensional viscoelastic free surface flows of a second‐order fluid. The governing equations are solved by a finite difference technique based on the marker‐and‐cell philosophy. A staggered grid is employed and marker particles are used to represent the fluid free surface. Full details for the approximation of the free surface stress conditions are given. The resultant code is validated and convergence is demonstrated. Numerical simulations of the extrudate swell and flow through a planar 4:1 contraction for various values of the Deborah number are presented. Copyright © 2006 John Wiley & Sons, Ltd.