A thermodynamics-consistent spatiotemporally-nonlocal model for microstructure-dependent heat conduction  

作　　者：Yu ZHANG Daming NIE Xuyao MAO Li LI 

机构地区：[1]Zhejiang Lab,Hangzhou,310058,China [2]Wuhan Second Ship Design and Research Institute,Wuhan,430064,China [3]State Key Laboratory of Intelligent Manufacturing Equipment and Technology,School of Mechanical Science and Engineering,Huazhong University of Science and Technology,Wuhan,430074,China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2024年第11期1929-1948,共20页应用数学和力学（英文版）

基　　金：Project supported by the National Key Research and Development Program of China(No.2021YFB1714600);the National Natural Science Foundation of China(No.52175095);the Young Top-Notch Talent Cultivation Program of Hubei Province of China。

摘　　要：The spatiotemporally-nonlocal phenomena in heat conduction become significant but challenging for metamaterials with artificial microstructures.However,the microstructure-dependent heat conduction phenomena are captured under the hypothesis of spatiotemporally local equilibrium.To capture the microstructure-dependent heat conduction phenomena,a generalized nonlocal irreversible thermodynamics is proposed by removing both the temporally-local and spatially-local equilibrium hypotheses from the classical irreversible thermodynamics.The generalized nonlocal irreversible thermodynamics has intrinsic length and time parameters and thus can provide a thermodynamics basis for the spatiotemporally-nonlocal law of heat conduction.To remove the temporallylocal equilibrium hypothesis,the generalized entropy is assumed to depend not only on the internal energy but also on its first-order and high-order time derivatives.To remove the spatially local equilibrium hypothesis,the thermodynamics flux field in the dissipation function is assumed to relate not only to the thermodynamics force at the reference point but also to the thermodynamics force of the neighboring points.With the developed theoretical framework,the thermodynamics-consistent spatiotemporally-nonlocal models can then be developed for heat transfer problems.Two examples are provided to illustrate the applications of steady-state and transient heat conduction problems.

关 键 词：NONLOCALITY spatiotemporal nonlocality irreversible thermodynamics heat transfer METAMATERIAL 

分 类 号：O551.3[理学—热学与物质分子运动论]