Theoretical Modeling and Inverse Analysis of Thermal Conductivity of Skeletons in SiO<sub>2</sub> Nano-Insulation Materials
With the developments in high-performance nano-insulation material technology, theoretical studies on the heat transfer mechanisms in these materials have been conducted. However, the conductivity of nanometer-sized skeletons is still unclear. It is necessary to clarify the thermal conductivity of n...
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MDPI AG
2019-06-01
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Online Access: | https://www.mdpi.com/2079-4991/9/7/934 |
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author | Xiao-Chen Zhang Xin-Lin Xia Dong-Hui Li Chuang Sun |
author_facet | Xiao-Chen Zhang Xin-Lin Xia Dong-Hui Li Chuang Sun |
author_sort | Xiao-Chen Zhang |
collection | DOAJ |
description | With the developments in high-performance nano-insulation material technology, theoretical studies on the heat transfer mechanisms in these materials have been conducted. However, the conductivity of nanometer-sized skeletons is still unclear. It is necessary to clarify the thermal conductivity of nanometer-sized solid skeletons in order to better understand the heat transfer mechanisms in nano-insulation materials. In the present study, a theoretical model for the thermal conductivity of nanometer-sized skeletons in nano-insulation materials is presented based upon the meso-structure of the material and the equation of phonon transfer. The size effect in thermal conductivity of the nanometer-sized particles is studied numerically, and the thermal conductivity is theoretically obtained. At the same time, a reverse method is established for the thermal conductivity of nanometer-sized particles based on the method of particle swarm optimization (PSO). The skeleton thermal conductivity for a specific nano-insulation material with a density of 110 kg/m<sup>3</sup> and porosity of 0.94 is identified based upon experimental data from literature. Comparison results show that the theoretical conductivity of nanometer-sized skeletons and the identified results give the values of 0.145 and 0.124 W/(m K), respectively, clearly revealing obvious an size effect in the thermal conductivity of nanometer-sized skeletons. |
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spelling | doaj.art-0e3e3d8fa04142e793574f8d3b4025e42022-12-21T18:44:27ZengMDPI AGNanomaterials2079-49912019-06-019793410.3390/nano9070934nano9070934Theoretical Modeling and Inverse Analysis of Thermal Conductivity of Skeletons in SiO<sub>2</sub> Nano-Insulation MaterialsXiao-Chen Zhang0Xin-Lin Xia1Dong-Hui Li2Chuang Sun3School of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001, ChinaSchool of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001, ChinaSchool of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001, ChinaSchool of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001, ChinaWith the developments in high-performance nano-insulation material technology, theoretical studies on the heat transfer mechanisms in these materials have been conducted. However, the conductivity of nanometer-sized skeletons is still unclear. It is necessary to clarify the thermal conductivity of nanometer-sized solid skeletons in order to better understand the heat transfer mechanisms in nano-insulation materials. In the present study, a theoretical model for the thermal conductivity of nanometer-sized skeletons in nano-insulation materials is presented based upon the meso-structure of the material and the equation of phonon transfer. The size effect in thermal conductivity of the nanometer-sized particles is studied numerically, and the thermal conductivity is theoretically obtained. At the same time, a reverse method is established for the thermal conductivity of nanometer-sized particles based on the method of particle swarm optimization (PSO). The skeleton thermal conductivity for a specific nano-insulation material with a density of 110 kg/m<sup>3</sup> and porosity of 0.94 is identified based upon experimental data from literature. Comparison results show that the theoretical conductivity of nanometer-sized skeletons and the identified results give the values of 0.145 and 0.124 W/(m K), respectively, clearly revealing obvious an size effect in the thermal conductivity of nanometer-sized skeletons.https://www.mdpi.com/2079-4991/9/7/934nano-insulation materialsthermal conductivitysimulationidentification |
spellingShingle | Xiao-Chen Zhang Xin-Lin Xia Dong-Hui Li Chuang Sun Theoretical Modeling and Inverse Analysis of Thermal Conductivity of Skeletons in SiO<sub>2</sub> Nano-Insulation Materials Nanomaterials nano-insulation materials thermal conductivity simulation identification |
title | Theoretical Modeling and Inverse Analysis of Thermal Conductivity of Skeletons in SiO<sub>2</sub> Nano-Insulation Materials |
title_full | Theoretical Modeling and Inverse Analysis of Thermal Conductivity of Skeletons in SiO<sub>2</sub> Nano-Insulation Materials |
title_fullStr | Theoretical Modeling and Inverse Analysis of Thermal Conductivity of Skeletons in SiO<sub>2</sub> Nano-Insulation Materials |
title_full_unstemmed | Theoretical Modeling and Inverse Analysis of Thermal Conductivity of Skeletons in SiO<sub>2</sub> Nano-Insulation Materials |
title_short | Theoretical Modeling and Inverse Analysis of Thermal Conductivity of Skeletons in SiO<sub>2</sub> Nano-Insulation Materials |
title_sort | theoretical modeling and inverse analysis of thermal conductivity of skeletons in sio sub 2 sub nano insulation materials |
topic | nano-insulation materials thermal conductivity simulation identification |
url | https://www.mdpi.com/2079-4991/9/7/934 |
work_keys_str_mv | AT xiaochenzhang theoreticalmodelingandinverseanalysisofthermalconductivityofskeletonsinsiosub2subnanoinsulationmaterials AT xinlinxia theoreticalmodelingandinverseanalysisofthermalconductivityofskeletonsinsiosub2subnanoinsulationmaterials AT donghuili theoreticalmodelingandinverseanalysisofthermalconductivityofskeletonsinsiosub2subnanoinsulationmaterials AT chuangsun theoreticalmodelingandinverseanalysisofthermalconductivityofskeletonsinsiosub2subnanoinsulationmaterials |