Journal article
A “poor man's approach” to topology optimization of cooling channels based on a Darcy flow model
A topology optimization methodology for optimizing cooling channels using an approximate but low-cost flow and heat transfer model is presented. The fluid flow is modeled using the Darcy model, which is a linear problem that can be solved very efficiently compared to the Navier–Stokes equations. The obtained fluid velocity is subsequently used in a stabilized convection–diffusion heat transfer model to calculate the temperature distribution.
The governing equations are cast in a monolithic form such that both the solid and fluid can be modeled using a single equation set. The material properties: permeability, conductivity, density and specific heat capacity are interpolated using the Solid Isotropic Material with Penalization (SIMP) scheme.
Manufacturable cooling-channel designs with clear topologies are obtained with the help of a pressure drop constraint and a geometric length-scale constraint. Several numerical examples demonstrate the applicability of this approach. Verification studies with a full turbulence model show that, although the equivalent model has limitations in yielding a perfect realistic velocity field, it generally provides well-performing cooling channel designs.
Language: | English |
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Year: | 2018 |
Pages: | 1108-1123 |
ISSN: | 18792189 and 00179310 |
Types: | Journal article |
DOI: | 10.1016/j.ijheatmasstransfer.2017.09.090 |
ORCIDs: | 0000-0003-4380-8758 , Sigmund, Ole and Andreasen, Casper Schousboe |