Abstract
A new technique for the numerical 3D simulation of time dependent
flow of viscoelastic fluid is presented. The technique is based on
a Lagrangian kinematics description of the fluid flow. The fluid
is described by the Rivlin Sawyer integral constitutive equation.
The method (referred to as the 3D Lagrangian Integral Method) is a
finite element method where Galerkons method is used for solving
the governing equation in rectangular coordinates numerically. In
the present implementation the velocity and pressure fields are
approximated with tri-linear and constant shape functions,
respectivly.The 3D LIM has as yet been used to simulate the
following two three-dimensional problems. First, the method has
been used to simulate the viscoelastic end-plate instability that
occurs under certain conditions in the transient filament
strecting apparatus for pressure sensitive adhesives (polymeric
melts) and polymeric solutions. Secondly, the 3D-LIM has also been
applied to calculate the inflation of a thick sheet of a polymeric
melt into a elliptic cylinder. These problems all include free
surfaces. As the governing equations are solved for the particle
positions, the motion of surfaces can be followed easily even in
3D viscoelastic flows.
Original language | English |
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Title of host publication | Proceedings of the XIIIth International Congress on Rheology, Volume 2 |
Place of Publication | Glasgow, UK |
Publisher | British Society of Rheology |
Publication date | 2000 |
Pages | 178-180 |
Publication status | Published - 2000 |
Event | XIII International Congress on Rheology - Cambridge, United Kingdom Duration: 20 Aug 2000 → 25 Aug 2000 Conference number: 13 |
Conference
Conference | XIII International Congress on Rheology |
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Number | 13 |
Country | United Kingdom |
City | Cambridge |
Period | 20/08/2000 → 25/08/2000 |