Secondary shape optimization of topological boundary of cold plate channels

Abstract

Secondary shape optimization for topological boundary is proposed to further improve heat dissipation performance of cold plates. Firstly, the topological boundaries obtained with topology optimization are fitted parametrically by Bezier curves. Here, considering the numerical complexity caused by Bezier curves characters, a simple process is introduced. Thereafter, three algorithms are proposed to formulate secondary shape optimization. The proposed algorithms can further qualitatively handle explicit geometry boundary through optimizing the coefficients of the established distance function or the control points of Bezier curves. The effectiveness of the proposed algorithms is subsequently verified by analyzing the 2D and 3D models given after topology optimization and the obtained results show that these approaches further provide well-performing cold plates design. These approaches provide a theoretical basis for engineering application and they are easy to be processed and implemented. The proposed approaches can be applied not only to the problem of conjugate heat transfer but also to the problems of pure heat conduction, continuum structure, even other more complicated engineering structures.