Peter Wapperom, Martien A. Hulsen, and Jaap P.P.M. van der Zanden
A numerical method for steady and nonisothermal viscoelastic
fluid flow for high Deborah and Péclet numbers
Rheologica Acta 37 (1998) 73-88
Abstract
A combined finite element / streamline integration method is presented
for nonisothermal flows of viscoelastic fluids. The attention is focused
on some characteristic problems that arise for numerical simulation of
flows with high Deborah and Péclet numbers. The two most important
problems to handle are the choice of an outflow boundary condition for
not completely developed
flow and the treatment of the dissipative term in the
temperature equation. The ability of the numerical method to handle high
Deborah and Péclet numbers will be demonstrated on a contraction flow
of an LDPE melt with isotropic and anisotropic heat conductivity.
The influence of anisotropic heat conduction and the difference between
the stress work and mechanical dissipation will be discussed for
contraction flows.
Keywords
nonisothermal viscoelastic flow; differential stress models;
combined finite element / streamline integration; outflow boundary conditions;
dissipation; anisotropic heat conduction