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A numerical method for steady and nonisothermal viscoelastic fluid flow for high Deborah and Péclet numbers
Authors:Peter Wapperom  M A Hulsen  Jaap P P M van der Zanden
Affiliation:(1) Delft University of Technology Faculty of Mechanical Engineering and Marine Technology Laboratory for Aero and Hydrodynamics Rotterdamsweg 145 2628 AL Delft The Netherlands e-mail: p.wapperom@wbmt.tudelft.nl, NL
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. Received:  4 February 1997 Accepted: 23 October 1997
Keywords:Nonisothermal  viscoelastic flow  differential stress models  combined finite element/streamline integration  outflow boundary conditions  dissipation  anisotropic heat conduction
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