Topology Optimization of Two Fluid Heat Exchangers
Abstract
A method for densitybased topology optimization of heat exchangers with two fluids is proposed. The goal of the optimization process is to maximize the heat transfer from one fluid to the other, under maximum pressure drop constraints for each of the fluid flows. A single design variable is used to describe the physical fields. The solid interface and the fluid domains are generated using an erosiondilation based identification technique, which guarantees wellseparated fluids, as well as a minimum wall thickness between them. Under the assumption of laminar steady flow, the two fluids are modelled separately, but in the entire computational domain using the Brinkman penalization technique for ensuring negligible velocities outside of the respective fluid subdomains. The heat transfer is modelled using the convectiondiffusion equation, where the convection is driven by both fluid flows. A stabilized finite element discretization is used to solve the governing equations. Results are presented for two different problems: a twodimensional example illustrating and verifying the methodology; and a threedimensional example inspired by shellandtube heat exchangers. The optimized designs for both cases show an improved heat transfer compared to the baseline designs. For the shellandtube case, the full freedom topology optimization approach is shown to yield performance improvements of up to 113% under the same pressure drop.
 Publication:

arXiv eprints
 Pub Date:
 July 2020
 arXiv:
 arXiv:2007.01759
 Bibcode:
 2020arXiv200701759H
 Keywords:

 Physics  Fluid Dynamics;
 Computer Science  Computational Engineering;
 Finance;
 and Science
 EPrint:
 doi:10.1016/j.ijheatmasstransfer.2020.120543