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Topology optimization of microfluidic mixers
Authors:
Casper Schousboe Andreasen
Allan Roulund Gersborg
Ole Sigmund
Institution:
Department of Mechanical Engineering, Solid Mechanics, Nils Koppels Allé, Technical University of Denmark, 2800 Kgs. Lyngby, Denmark
Abstract:
This paper demonstrates the application of the topology optimization method as a general and systematic approach for microfluidic mixer design. The mixing process is modeled as convection dominated transport in low Reynolds number incompressible flow. The mixer performance is maximized by altering the layout of flow/non‐flow regions subject to a constraint on the pressure drop between inlet and outlet. For a square cross‐sectioned pipe the mixing is increased by 70% compared with a straight pipe at the cost of a 2.5 fold increase in pressure drop. Another example where only the bottom profile of the channel is a design domain results in intricate herring bone patterns that confirm findings from the literature. Copyright © 2008 John Wiley & Sons, Ltd.
Keywords:
topology optimization
microfluidic mixing
stabilized FEM
convection dominated transport
sensitivity analysis
finite element methods
porous media
optimization
incompressible flow
Navier–
Stokes
transport
micro‐fluids
laminar flow
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