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Title: Optimum periodic geometries that maximize the heat transfer rate from a solid slab Authors:  Marios Fyrillas - Frederick University (Cyprus) [presenting]
Abstract: The inverse problem of determining the optimal geometries/shapes that would maximize the heat conduction rate from a slab is considered. The algorithm will be developed through a combination of conformal mapping techniques (Generalized Schwarz-Christoffel transformation) and Boundary Element methods. The Shape Optimization problems are posed as nonlinear programming problems (constrained nonlinear optimization) where the Objective Function is the Heat Transfer Rate, or the Shape Factor, and the variables of the optimization are the parameters of the Generalized Schwarz-Christoffel transformation. The Shape Optimization problems are addressed through numerical optimization which can handle complicated geometrical constraints. The above methodology has been effectively applied to obtain the optimum geometries of embedded pipes and extended surfaces/fins.