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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Main Authors: Xiao-Chen Zhang, Xin-Lin Xia, Dong-Hui Li, Chuang Sun
Format: Article
Language:English
Published: MDPI AG 2019-06-01
Series:Nanomaterials
Subjects:
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