Topology optimisation for natural convection problems

By Joe Alexandersen, Niels Aage, Casper Schousboe Andreasen, Ole Sigmund. 2014

254 citations recorded by the source corpus.

This paper demonstrates the application of the density‐based topology optimisation approach for the design of heat sinks and micropumps based on natural convection effects. The problems are modelled under the assumptions of steady‐state laminar flow using the incompressible Navier–Stokes equations coupled to the convection‐diffusion equation through the Boussinesq approximation. In order to facilitate topology optimisation, the Brinkman approach is taken to penalise velocities inside the solid domain and the effective thermal conductivity is interpolated in order to accommodate differences in thermal conductivity of the solid and fluid phases. The governing equations are discretised using stabilised finite elements and topology optimisation is performed for two different problems using discrete adjoint sensitivity analysis. The study shows that topology optimisation is a viable approach for designing heat sink geometries cooled by natural convection and micropumps powered by natural convection. Copyright © 2014 John Wiley & Sons, Ltd.

Subfields: Civil and Structural Engineering, Computational Theory and Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/e5d44b5e2a696139c21ab56e3af716ad6688f59e

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Citations in the corpus

Large scale three-dimensional topology optimisation of heat sinks cooled by natural convection (2015, methodology): “ation of the problem ensures continuity of the temperature ﬁeld, as well as the ﬂuxes across ﬂuid-solid interfaces. The particularities of the implemented ﬁnite element formulation are as detailed in [9]. However, simpler stabilisation parameters have been used in order to allow for consistent sensi”
Topology optimization of a pseudo 3D thermofluid heat sink model (2018, unknown): “For the interpolation of the thermal conductivity within the design layer and the heat transfer between heat sink base plate and thermofluid design layer, a RAMP-style interpolation as used in [33] and originally presented in [38] is applied: Ij(γ) = γ (Cj(1 + bj)− 1) + 1 Cj (1 + bj γ) j=k,h (18) wh”