基于变换热力学的任意形状热集中器研究与设计

摘要

How to control and manipulate the heat flow in a flexible way is a hotspot of current research. According to transformation thermodynamics method, material parameter expressions for thermal concentrator with an arbitrary cross section are derived, and thermal concentrator with special symmetrical profiles, such as circle, ellipse, and pentagon, as well as thermal concentrator with arbitrary conformal/non-conformal cross section are designed on this basis. Full wave simulation results show that these thermal concentrators can bend the isotherm and heat flux towards their compressive regions, making the heat diffuses faster on the side near heat source and slower on the opposite side. Heat concentrated into a tiny region may have potential applications in thermal engineering. In addition, research on layered realization method of cylindrical thermal concentrator is conducted. Results reveal that the thermal concentrator can be realized through alternatively filling isotropic materials into layers along the angular direction. This work has a guiding significance for the design and manufacturing of thermal concentrator.%如何灵活地控制和操纵热流是目前研究的热点。本文根据变换热力学方法，导出了具有任意横截面形状热集中器的材料参数表达式，并在此基础上设计了具有圆形、椭圆形、正五边形等规则横截面形状的热集中器和具有共形、非共形任意横截面形状的热集中器。全波仿真结果表明，这些热集中器使等温线和热通量向其压缩区弯曲，靠近热源的一侧热扩散加快而相反的一侧热扩散减慢，在很小的区域内表现出对热量的集中作用，这一特点在热能工程中有潜在应用。此外，研究了圆柱形热集中器的层化实现方法。结果显示，热集中器可通过将同性材料沿角向分层交替填充来实现。这项工作对热集中器的设计及制备具有指导意义。