Controlling Heat Conduction with Nonlinear-Transformation Cloaking

Autor: Mao Liu, Xindong Ma, Mitao Song, Meng Han, Wen-An Jiang, Lijun Zhuo
Rok vydání: 2021
Předmět:
Zdroj: International Journal of Thermophysics. 42
ISSN: 1572-9567
0195-928X
DOI: 10.1007/s10765-021-02849-2
Popis: Recently, coordinate transformation method can be used to design invisibility cloaks for many types of waves, including heat conduction. The main difficulties encountered implementing the cloaking devices may be due to singular and anisotropic thermodynamic properties after coordinate transformation. This paper designs a nonlinear cloak with tunable thermodynamic parameters from a thermal diffusion path perspective to control thermal conduction. A theory of nonlinear-transformation thermodynamics is given and a nonlinear thermal diffusion path equation for thermal conduction is derived. A broadband thermal cloak is constructed with layered homogeneous and isotropic materials based on a nonlinear transformation. The cloaking performance of the nonlinear-transformation cloak can be adjusted by varying a design parameter, which affects thermal diffusion in the inner region of the cloak. Both the cloaks can exhibit detouring thermal diffusion around the inclusion, while the cloak designed in this paper has more flexibility in guiding heat conduction by changing the value of the design parameter. Numerical simulations demonstrate that the nonlinear-transformation cloak is effective in shielding the heat diffusion from outer region of the cloak. The methodology developed in this paper provides a useful approach to flexibly adjusting the thermal diffusion path according to different engineering requirements.
Databáze: OpenAIRE
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