Body-fitted topology optimization of 2D and 3D fluid-to-fluid heat exchangers

We present a topology optimization approach for the design of fluid-to-fluid heat exchangers which rests on an explicit meshed discretization of the phases at stake, at every iteration of the optimization process. The considered physical situations involve a weak coupling between the Navier–Stokes e...

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Vydáno v:	Computer methods in applied mechanics and engineering Ročník 376; s. 113638
Hlavní autoři:	Feppon, F., Allaire, G., Dapogny, C., Jolivet, P.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Amsterdam Elsevier B.V 01.04.2021 Elsevier BV Elsevier
Témata:	Analysis of PDEs Computational fluid dynamics Convection-diffusion equation Convective heat transfer Cross flow Deformation Design optimization Evolutionary algorithms Finite element method Geometric constraints Heat exchangers Iterative methods Mathematics Non-mixing constraint Numerical Analysis Numerical methods Optimization Pressure drop Shape and topology optimization Shape optimization Temperature distribution Thickness Topology optimization Two dimensional flow Two dimensional models Convective heat transfer 76B75 Shape and topology optimization 35Q79 74F10 65N50 Non-mixing constraint Heat exchangers 74P10 65N55 Geometric constraints geometric constraints heat exchangers convective heat transfer non-mixing constraint
ISSN:	0045-7825, 1879-2138
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Popis
Shrnutí:	We present a topology optimization approach for the design of fluid-to-fluid heat exchangers which rests on an explicit meshed discretization of the phases at stake, at every iteration of the optimization process. The considered physical situations involve a weak coupling between the Navier–Stokes equations for the velocity and the pressure in the fluid, and the convection–diffusion equation for the temperature field. The proposed framework combines several recent techniques from the field of shape and topology optimization, and notably a level-set based mesh evolution algorithm for tracking shapes and their deformations, an efficient optimization algorithm for constrained shape optimization problems, and a numerical method to handle a wide variety of geometric constraints such as thickness constraints and non-penetration constraints. Our strategy is applied to the optimization of various types of heat exchangers. At first, we consider a simplified 2D cross-flow model where the optimized boundary is the section of the hot fluid phase flowing in the transverse direction, which is naturally composed of multiple holes. A minimum thickness constraint is imposed on the cross-section so as to account for manufacturing and maximum pressure drop constraints. In a second part, we optimize the design of 2D and 3D heat exchangers composed of two types of fluid channels (hot and cold), which are separated by a solid body. A non-mixing constraint between the fluid components containing the hot and cold phases is enforced by prescribing a minimum distance between them. Numerical results are presented on a variety of test cases, demonstrating the efficiency of our approach in generating new, realistic, and unconventional heat exchanger designs. •We propose a body-fitted topology optimization approach for the design of fluid-to-fluid heat exchangers.•Two models of heat exchangers are considered : first a simplified 2D crossflow model, and then 2D and 3D heat exchangers featuring two distinct fluid phases.•A non-mixing constraint is enforced by prescribing a minimum distance between the two fluid phases.•Numerical results are presented on a variety of 2D situations and on a large scale 3D test case.
Bibliografie:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14
ISSN:	0045-7825 1879-2138
DOI:	10.1016/j.cma.2020.113638