文献类型：期刊文献

英文题名：A Transient Transformation Theory for the Design of Convective Thermal Metamaterials: Cloaks, Concentrators, and Rotators

作者：Wang, Hao[1]; Yao, Neng-Zhi[1]; Wang, Bin[1]; Wang, Xuesheng[1]

机构：[1] School of Mechanical and Power Engineering, East China University of Science and Technology, Shanghai, 200237, China

年份：2023

外文期刊名：SSRN

收录：EI(收录号：20230240096)

语种：英文

外文关键词：Flow of fluids - Heat convection - Porous materials

摘要：Convective thermal metamaterials have attracted particular attention since they can simultaneously manipulate the fluid flow and heat transfer. However, the current transformation theory for designing convective thermal metamaterials is only applied to steady state heat-transfer systems or porous media systems. Therefore, we prove the convective heat-transfer governing equations with time-dependent terms for non-porous media flows possess form invariant under coordinate transformation and develop the transient transformation theory for creeping viscous potential flows. Based on this theory, three convective thermal metamaterials are designed under transient heat-transfer systems, including cloaks, concentrators, and rotators. To verify the results, qualitatively and quantitatively numerical simulations are performed to validate the functions of the three metamaterials under uniform and non-uniform heat-transfer systems. To further demonstrate the validity of the transient transformation theory, we compare the effects of different thermal metamaterials in steady-state and transient heat transfer systems. In conclusion, we extend the transformation heat transfer theory from steady to transient conditions by proving the form invariance of transient convective heat-transfer equations. The established transient theory of transformation heat transfer not only guides the design of more richly functional thermal metamaterials but also broadens their application scenarios. ? 2023, The Authors. All rights reserved.