Optimisation topologique des transferts de chaleur et de masse : application aux échangeurs de chaleur

Abstract : Heat and mass transfers are two physical phenomena at the base of many thermal systems involved in various fields, such as industries, buildings or renewable energies. The present researches tackle different optimization methodologies of structures subject to heat transfers, coupled with a fluid flow or not, in the topological sense of the term. The partial differential equations describing the physical phenomena are discretized thanks to the finite volume method. The first part of the thesis successively studies three different classes of approaches: constructal theory, cellular automaton, and the solid isotropic material with penalization method. The same academic case, aiming at the optimal cooling of a finite-size volume generating heat, is tackled by means of these three methods, allowing the comparison of the performances of each algorithm. This comparison shows that the method based on the material penalization performs better than the first two approaches, structurally and quantitatively, and also establishes solutions based on a trade-off in the frame multi-objective optimization. Consequently, the second part applies this method to configurations subject to heat and mass transfers with laminar flows. The use of penalization parameters in conjunction with the finite volume method requires a regularization of the viscous dissipation along the solid/fluid interfaces. A bi-objective approach is implemented in order to minimize the total power dissipated by the fluid, while maximizing the thermal energy recovered from the system. The solutions show non-trivial configurations that can be categorized in four different topological classes. The present researches open a new investigation field for fluid flows coupled with the problem of heat transport.
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Gilles Marck. Optimisation topologique des transferts de chaleur et de masse : application aux échangeurs de chaleur. Autre. Ecole Nationale Supérieure des Mines de Paris, 2012. Français. ⟨NNT : 2012ENMP0041⟩. ⟨pastel-00819099⟩

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