Structural Optimization of non-Newtonian Microfluidics

Kristian Ejlebjærg Jensen; Fridolin Okkels

Structural Optimization of non-Newtonian Microfluidics

Kristian Ejlebjærg Jensen
, Fridolin Okkels

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Abstract

We present results for topology optimization of a non-Newtonian rectifier described with a differential constitutive model. The results are novel in the sense that a differential constitutive model has not been combined with topology optimization previously. We find that it is necessary to apply a filter on the design variables based on a Helmholtz-type differential equation and we try to vary the filter length throughout the optimization in order to ensure compatibility with a convex interpolation between the inverse permeability and the design variables, which is popular within topology optimization of fluids. We test the method on a microfluidic rectifier and find solutions topologically different from experimentally realized designs.

Original language	English
Title of host publication	9. World Congress on Structural and Multidisciplinary Optimization : Book of abstracts and CD-rom proceedings
Publication date	2011
Publication status	Published - 2011
Event	9th World Congress on Structural and Multidisciplinary Optimization - Shizuoka, Japan Duration: 13 Jun 2011 → 17 Jun 2011 Conference number: 9

Conference

Conference	9th World Congress on Structural and Multidisciplinary Optimization
Number	9
Country/Territory	Japan
City	Shizuoka
Period	13/06/2011 → 17/06/2011

Keywords

Helmholtz density filter
Log conformation
Rectifier
Non-Newtonian

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title = "Structural Optimization of non-Newtonian Microfluidics",

abstract = "We present results for topology optimization of a non-Newtonian rectifier described with a differential constitutive model. The results are novel in the sense that a differential constitutive model has not been combined with topology optimization previously. We find that it is necessary to apply a filter on the design variables based on a Helmholtz-type differential equation and we try to vary the filter length throughout the optimization in order to ensure compatibility with a convex interpolation between the inverse permeability and the design variables, which is popular within topology optimization of fluids. We test the method on a microfluidic rectifier and find solutions topologically different from experimentally realized designs.",

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author = "Jensen, \{Kristian Ejlebj{\ae}rg\} and Fridolin Okkels",

year = "2011",

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booktitle = "9. World Congress on Structural and Multidisciplinary Optimization",

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T1 - Structural Optimization of non-Newtonian Microfluidics

AU - Jensen, Kristian Ejlebjærg

AU - Okkels, Fridolin

N1 - Conference code: 9

PY - 2011

Y1 - 2011

N2 - We present results for topology optimization of a non-Newtonian rectifier described with a differential constitutive model. The results are novel in the sense that a differential constitutive model has not been combined with topology optimization previously. We find that it is necessary to apply a filter on the design variables based on a Helmholtz-type differential equation and we try to vary the filter length throughout the optimization in order to ensure compatibility with a convex interpolation between the inverse permeability and the design variables, which is popular within topology optimization of fluids. We test the method on a microfluidic rectifier and find solutions topologically different from experimentally realized designs.

AB - We present results for topology optimization of a non-Newtonian rectifier described with a differential constitutive model. The results are novel in the sense that a differential constitutive model has not been combined with topology optimization previously. We find that it is necessary to apply a filter on the design variables based on a Helmholtz-type differential equation and we try to vary the filter length throughout the optimization in order to ensure compatibility with a convex interpolation between the inverse permeability and the design variables, which is popular within topology optimization of fluids. We test the method on a microfluidic rectifier and find solutions topologically different from experimentally realized designs.

KW - Helmholtz density filter

KW - Log conformation

KW - Rectifier

KW - Non-Newtonian

M3 - Article in proceedings

BT - 9. World Congress on Structural and Multidisciplinary Optimization

T2 - 9th World Congress on Structural and Multidisciplinary Optimization

Y2 - 13 June 2011 through 17 June 2011

ER -

Structural Optimization of non-Newtonian Microfluidics

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