Numerical Modeling of Micro Fluidics of Polymer Melts

José Manuel Román Marin, Henrik K. Rasmussen

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review


A new Galerkin finite element scheme for the numerical simulation of three-dimensional time-dependent flow of K-BKZ fluids has been developed. The scheme was used to model the polymer melt flow in nano imprint lithography (NIL). In NIL a sub micrometer pattern is hot pressed onto a thin polymer film on a hard substrate. The numerical method is based on a Lagrangian kinematics description of the fluid, where the (Cartesian) coordinate system attached to the particles is discretized by ten-node quadratic tetrahedral elements. The time integral in the K-BKZ model is discretized by a quadratic interpolation ensuring third order convergence in time. The method has been benchmarked on the free surface problem of a filament stretched between two plates.
Original languageEnglish
Title of host publication:Proceedings of The 15. International Congress on Rheology, 2008
Publication date2008
Publication statusPublished - 2008
Event15th International Congress on Rheology: The Society of Rheology 80th Annual Meeting - Monterey, CA, United States
Duration: 3 Aug 20088 Aug 2008
Conference number: 15


Conference15th International Congress on Rheology
CountryUnited States
CityMonterey, CA
Internet address


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