Topology optimisation for natural convection problems

Abstract

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.

Submitted to the 'International Journal for Numerical Methods in Fluids' on 28th of August 2013 - currently under review

References in corpus (2)

• A high-level programming-language implementation of topology optimization applied to steady-state Navier-Stokes flow
• Scaling behavior of optimally structured catalytic microfluidic reactors

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• A "poor man's" approach for high-resolution three-dimensional topology optimization of natural convection problems
• Thermofluid topology optimization for cooling channel design
• Shape optimisation of stirring rods in mixing binary fluids
• Modelling of flow through spatially varying porous media with application to topology optimization
• Three-dimensional topology optimization of heat exchangers with the level-set method
• Novel flow field design for vanadium redox flow batteries via topology optimization