遮光剂掺杂SiO2气凝胶传热的统一格子Boltzmann模型研究

doi:10.11949/0438-1157.20221612

摘要/Abstract

摘要：

气凝胶是一种纳米多孔超级隔热材料，其内部的传热过程涉及气相导热、固相导热、气固耦合传热及辐射传热。基于格子Boltzmann方法，演化了含有辐射源项的能量方程和辐射传输方程，建立了描述SiO₂气凝胶复合材料内多模式多尺度耦合传热的统一格子Boltzmann模型，探究了SiC遮光剂粒径和掺杂量对气凝胶复合材料隔热性能的影响，获得了使得材料等效热导率最小的SiC遮光剂最优粒径和最佳掺杂量随温度的变化规律。

关键词: SiO₂气凝胶, 耦合传热, 统一格子Boltzmann模型, 遮光剂, 等效热导率

Abstract:

Aerogel is a nanoporous super-insulation material, and its internal heat transfer process involves gas-phase heat conduction, solid-phase heat conduction, gas-solid coupling heat transfer and radiation heat transfer. In the present study, the energy equation containing the radiation source and the radiation transfer equation are derived based on the lattice Boltzmann method (LBM), and a unified lattice Boltzmann model to describe multi-mode and multi-scale coupled heat transfer in SiO₂ aerogel composites is established. The effects of diameter and doping volume fraction of SiC opacifiers on the thermal insulation performance of SiO₂ aerogel composites are investigated. The temperature-dependent optimal diameter and doping volume fraction of SiC opacifiers are obtained to minimize the effective thermal conductivity of SiC-doped silica aerogel composites.

Key words: SiO₂ aerogel, coupled heat transfer, unified lattice Boltzmann model, opacifiers, equivalent thermal conductivity

中图分类号:

TK 124

范坤阳, 杨景兴, 许海波, 连兴容, 何凤梅, 陈聪慧, 李增耀. 遮光剂掺杂SiO₂气凝胶传热的统一格子Boltzmann模型研究[J]. 化工学报, 2023, 74(5): 1974-1981.

Kunyang FAN, Jingxing YANG, Haibo XU, Xingrong LIAN, Fengmei HE, Conghui CHEN, Zengyao LI. A unified lattice Boltzmann model for heat transfer in opacifiers-doped silica aerogel[J]. CIESC Journal, 2023, 74(5): 1974-1981.

图/表 11

图1 气凝胶材料内部的多组分多模式耦合传热

Fig.1 Multi-component and multi-mode coupled heat transfer inside aerogel material

图2 遮光剂掺杂气凝胶示意图[14]

Fig.2 The schematic of the opacifiers-doped silica aerogel[14]

图3 SiO2气凝胶基体的热导率λa随温度的变化

Fig.3 Temperature dependent thermal conductivity (λa) of SiO2 aerogel matrix

图4 气凝胶复合材料内传热的物理模型

Fig.4 Physical model of heat transfer in aerogel composites

图5 辐射热传输所使用的D2Q8格子模型

Fig.5 D2Q8 lattice model for radiation heat transfer

图6 统一格子Boltzmann模型验证

Fig.6 Validation of the unified lattice Boltzmann model

图7 纯SiO2气凝胶的整体等效热导率随温度的变化

Fig.7 Temperature dependent equivalent thermal conductivity of SiO2 aerogel

图8 SiC遮光剂粒径对SiO2气凝胶复合材料辐射热导率的影响

Fig.8 The effect of diameter of SiC opacifiers on the radiative thermal conductivities of SiO2 aerogel

图9 SiC最优粒径随温度的变化

Fig.9 The optimal diameter of SiC opacifiers vs temperature

图10 SiO2气凝胶复合材料的等效热导率随SiC遮光剂掺杂量的变化

Fig.10 The equivalent thermal conductivity of silica aerogel composites vs the volume fraction of SiC opacifiers

图11 SiC最佳掺杂量随温度的变化

Fig.11 The optimal volume fraction of SiC opacifiers vs temperature

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遮光剂掺杂SiO₂气凝胶传热的统一格子Boltzmann模型研究

A unified lattice Boltzmann model for heat transfer in opacifiers-doped silica aerogel

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