Geodesic
Topology optimization of convective laminar heat transfer
Gilles Marck1 ; Maroun Nemer1 ; Jean-Luc Harion2
1 Mines ParisTech, CES, 60 Bd St Michel 75272 Paris Cedex 06, France.
2 Univ Lille Nord de France, F-59000 Lille, Mines Douai, EI, F-59500 Douai, France
ESAIM. Proceedings, Tome 45 (2014), pp. 369-378.

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The topology optimization of systems subject to a fluid flow shows a wide potential for designing optimal and innovative structures. The present works apply the concepts of shape optimization and shape derivative to laminar flows (Navier-Stokes) coupled with heat transfers. In addition to the direct model introduction, a special attention is given to the bi-objective optimization problem and to the algorithm carried out to solve it. The shape derivative is computed thanks to an adjoint state based on a discretization process using the finite volume method. The results show the optimal path of a fluid within a solid domain, taking into account both objectives relative to the minimization of the viscous dissipation and to the maximization of the thermal heat transfer.
DOI : 10.1051/proc/201445038

Gilles Marck 1 ; Maroun Nemer 1 ; Jean-Luc Harion 2

1 Mines ParisTech, CES, 60 Bd St Michel 75272 Paris Cedex 06, France.
2 Univ Lille Nord de France, F-59000 Lille, Mines Douai, EI, F-59500 Douai, France 
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Gilles Marck; Maroun Nemer; Jean-Luc Harion. Topology optimization of convective laminar heat transfer. ESAIM. Proceedings, Tome 45 (2014), pp. 369-378. doi : 10.1051/proc/201445038. http://geodesic.mathdoc.fr/articles/10.1051/proc/201445038/

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