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.

最近，坐标变换方法可用于设计包括热传导在内的许多类型的波的隐形斗篷。实施隐身装置遇到的主要困难可能是由于坐标转换后的奇异和各向异性热力学特性。本文从热扩散路径的角度设计了具有可调热力学参数的非线性披风，以控制热传导。给出了非线性变换热力学理论，推导了非线性的热传导路径方程。基于非线性变换，使用分层的均质和各向同性材料构造宽带热斗篷。非线性变换隐身衣的隐身性能可以通过更改设计参数来调整，这会影响斗篷内部区域的热扩散。两种披风都能在夹杂物周围表现出de回热扩散，而本文中设计的披风通过更改设计参数的值在引导热传导方面具有更大的灵活性。数值模拟表明，非线性变换披风可有效地遮挡从披风外部散发出来的热量。本文开发的方法提供了一种有用的方法，可以根据不同的工程要求灵活地调整热扩散路径。数值模拟表明，非线性变换披风可有效地遮挡从披风外部散发出来的热量。本文开发的方法提供了一种有用的方法，可以根据不同的工程要求灵活地调整热扩散路径。数值模拟表明，非线性变换披风可有效地遮挡从披风外部散发出来的热量。本文开发的方法提供了一种有用的方法，可以根据不同的工程要求灵活地调整热扩散路径。