Numerical Modeling of Micro Fluidics of Polymer Melts

José Manuel Román Marin; Henrik K. Rasmussen

Numerical Modeling of Micro Fluidics of Polymer Melts

José Manuel Román Marin
, Henrik K. Rasmussen

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

Abstract

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 language	English
Title of host publication	:Proceedings of The 15. International Congress on Rheology, 2008
Volume	1
Publication date	2008
Pages	249-251
Publication status	Published - 2008
Event	15th International Congress on Rheology: The Society of Rheology 80th Annual Meeting - Monterey, CA, United States Duration: 3 Aug 2008 → 8 Aug 2008 Conference number: 15 http://www.rheology.org/ICR2008/

Conference

Conference	15th International Congress on Rheology
Number	15
Country/Territory	United States
City	Monterey, CA
Period	03/08/2008 → 08/08/2008
Internet address	http://www.rheology.org/ICR2008/

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title = "Numerical Modeling of Micro Fluidics of Polymer Melts",

abstract = "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.",

author = "Marin, \{Jos{\'e} Manuel Rom{\'a}n\} and Rasmussen, \{Henrik K.\}",

year = "2008",

language = "English",

volume = "1",

pages = "249--251",

booktitle = ":Proceedings of The 15. International Congress on Rheology, 2008",

note = "15th International Congress on Rheology : The Society of Rheology 80th Annual Meeting, Rheology 2008 ; Conference date: 03-08-2008 Through 08-08-2008",

url = "http://www.rheology.org/ICR2008/",

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T1 - Numerical Modeling of Micro Fluidics of Polymer Melts

AU - Marin, José Manuel Román

AU - Rasmussen, Henrik K.

N1 - Conference code: 15

PY - 2008

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N2 - 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.

AB - 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.

M3 - Article in proceedings

VL - 1

SP - 249

EP - 251

BT - :Proceedings of The 15. International Congress on Rheology, 2008

T2 - 15th International Congress on Rheology

Y2 - 3 August 2008 through 8 August 2008

ER -

Numerical Modeling of Micro Fluidics of Polymer Melts

Abstract

Conference

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