An inverse geometry problem in determining the interfacial surfaces of a three layers structure based on the desired system heat flux

An optimum shape design problem in simultaneously designing the shapes of interfacial surfaces among three conductive bodies in a three-dimensional domain, based on the desired system heat flux and domain volume, is examined in the present work. The Levenberg-Marquardt method (LMM), B-Spline surface generation technique together with the commercial code CFD-ACE+ were utilized to solve the inverse geometry problem. The validity of this algorithm is examined using the numerical experiments. Different combinations of conductive bodies and desired system heat fluxes were given in the numerical test cases to justify the validity of the algorithm in solving the three-dimensional inverse design problem. Finally, it is concluded that when the interfacial surfaces are well designed, the effective system heat flux can be increased significantly.