Abstract: We designed the material parameters of transformation thermodynamic devices and gave time-domain finite element simulations by using the layered approximation idea and effective medium theory. Firstly, we derived the ideal material parameters of the three devices: heat cloak, heat concentrator and heat rotator by using the theory of transformational thermodynamics. Secondly, we eliminated the non-uniformity of the parameters and designed the layered structure by using the idea of layered approximation, and in order to eliminate the anisotropy of the layered structure, we used the effective medium theory to design the isotropic material parameters. Finally, we gave numerical test results to verify the performance of the device and the feasibility of the design. The results show that when the number of layered layers is higher, the designed device realizes better thermal effects, which can achieve the same effect as the ideal device.

Key words: transformation thermodynamics,  , metamaterials,  , material design,  , finite element simulation