基于REV的孔隙型多孔介质导热分析模型

doi:10.11949/0438-1157.20200490

摘要/Abstract

摘要：

多孔介质内部组成结构复杂，热质传递过程多变，如何针对多孔介质的微观孔隙分布特性，建立更加精准的分析模型，有待深入研究。基于表征单元体（representative elementary volume，REV）概念，提出了孔隙型多孔介质的两种微观物理模型，即空心骨架基元模型和实心颗粒基元模型，分别建立了相应的热导率计算公式。针对孔隙内的微观结构特征，采用分形方法，对两种基元模型进行了分形修正，更好地表征了微观孔隙结构。基于所建模型，进行了模拟计算，探讨了相关参数对多孔介质导热特性的影响。通过自主研发的实验装置进行了相关实验，验证了模型的准确性。

关键词: 多孔介质, 热传导, 表征单元体, 传递过程, 热力学性质

Abstract:

The structures and the heat and mass transfer processes are complex and variable in porous media. Therefore, the further study should be taken on the precise analysis models for describing micro-pore distributions characteristics. Based on the concept of REV (representative elementary volume), two microphysical models for porous media (hollow skeleton primitive model, solid particle primitive model) were proposed. And the formulas for thermal conductivity calculation on two microphysical models were established respectively. In view of the micro-structure characteristics of porous media, the fractal method was used for fractal correction of these two primitive models, which was better represented micro-pore structures. Based on these models, the parameter influences on the thermal conductivity of porous media were analyzed by numerical simulation. The accuracy of the models were verified by the experiments of the self-developed experimental equipment.

Key words: porous media, heat conduction, characterization unit, transport processes, thermodynamic properties

中图分类号:

TQ 201

王志国, 冯艳, 杨文哲, 张聪慧, 李栋, 刘立君. 基于REV的孔隙型多孔介质导热分析模型[J]. 化工学报, 2020, 71(S2): 118-126.

Zhiguo WANG, Yan FENG, Wenzhe YANG, Conghui ZHANG, Dong LI, Lijun LIU. Thermal conductivity analysis model of porous media based on REV[J]. CIESC Journal, 2020, 71(S2): 118-126.

图/表 13

图1 表征单元体定义

Fig.1 Definition of REV

图2 空心骨架基元传热模型

Fig.2 Heat transfer model of hollow-pore REV

图3 实心颗粒基元传热模型

Fig.3 Heat transfer model of solid-particle REV

图4 空心骨架分形传热基元

Fig.4 Fractal heat transfer REV of hollow pores

图5 实心颗粒分形传热基元

Fig.5 Fractal heat transfer REV of solid particles

图6 硅酸钙的三维扫描图像及二维截面

Fig.6 3D scanning image and 2D section image of CaSiO3

图7 孔隙度对空心骨架模型热导率的影响

Fig.7 Effect of porosity on thermal conductivity of hollow skeleton model

图8 孔隙度对实心基元模型热导率的影响

Fig.8 Effect of porosity on thermal conductivity of solid element model

图9 分形维数对空心骨架模型热导率的影响

Fig.9 Influence of fractal dimension on thermal conductivity of hollow skeleton model

图10 分形维数对实心基元模型热导率的影响

Fig.10 Influence of fractal dimension on thermal conductivity of solid element model

图11 颗粒分布对空心骨架模型热导率的影响

Fig.11 Influence of particle distribution on thermal conductivity of hollow skeleton model

图12 颗粒分布对实心基元模型热导率的影响

Fig.12 Influence of particle distribution on thermal conductivity of solid element model

表1 实验测试与模型对比

Table 1 Experimental test and model comparison

项目	测试结果	空心骨架基元模型	实心颗粒基元模型	空心骨架分形模型	实心颗粒分形模型
数据/(W/(m·K))	0.0451	0.0412	0.0410	0.0466	0.0467
相对偏差/%		-8.65	-9.09	3.33	3.55

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