Multi-objective topology optimization of pin-fin heat exchangers using spectral and finite-element methods

Abstract Forced convective pin-fin heat exchangers, due to the high wet surface area per volume and hindered thermal boundary layers, feature low resistances. However, considerable coolant pressure drop, particularly for densely packed fin arrays, imposes operational costs pumping power supply. This paper develops a multi-objective topology optimization approach optimize sink geometries in order minimize resistance loss, concurrently. In accordance geometrical characteristics, dedicated pseudo-3D conjugate transfer model is utilized, by assuming periodic flow design pattern, reasonably reduce cost of full-3D optimization. For solution part, pseudo-spectral scheme used, which intrinsically features spectral accuracy, finite element method non-periodic model. Exact partial derivatives discrete solutions are obtained analytically hand-differentiation. task rather convenient simplicity implementation; however, MATLAB symbolic toolbox selectively utilized code ensure an error-free implementation. Finally, sensitivities computed directly or via adjoint method, models, respectively. To examine present approach, two approaches used practical cooling task: constrained unconstrained formulations, where all cases more emphasis placed on minimization. A series optimized optimizations utility approach. The topologies demonstrated superior performances at lower losses compared conventional (circular) in-line staggered fins, confirmed supremacy over pure sizing