煤颗粒聚团介尺度结构演化规律及其对传热过程的强化机制

Evolutionary patterns of mesoscale structures in coal particle agglomerations and their mechanisms for enhancing heat transfer processes

  • 摘要: 为揭示煤自燃多尺度关联机制,解决因宏观模型关键输运参数缺乏非均匀物理基础而制约精准预测的瓶颈问题,基于介尺度科学理论,聚焦连接微观反应与宏观现象的关键介尺度结构——颗粒聚团(介尺度Ⅱ),定量表征在低温氧化过程中,煤颗粒聚团流场与温度场的协同演化规律,并建立孔隙结构与宏观参数间的定量函数关系,以揭示跨尺度参数传递宏观现象强化的内在联系。选取气煤与焦煤,制备0~3、3~7、7~10 mm粒径的松散煤体,采用CT扫描与三维重建技术提取真实孔隙结构,通过分析宏观参数稳定性确定了颗粒聚团的表征体元(REV)为300个体素(约1.671 3×109 μm3)。利用四邻域法生成不同孔隙率(φ=0.5, 0.7, 0.9)的二维多孔介质模型,并基于格子Boltzmann方法(LBM)构建了结合煤体渗流、传热及放热源项的介尺度数值模型,系统模拟了不同工况下流场与温度场的动态演化。结果表明:氧化作用导致孔隙率增大,0~3、3~7、7~10 mm粒径聚团在φ从0.5增至0.9时表面积分别缩减86%、83%和79%,结构变化剧烈。流场与温度场受孔隙结构控制展现出2种传热强化路径:小粒径低孔隙率条件下流道迂曲,峰值流速为0.300~0.350 m/s,易产生“指进效应”并强化局部蓄热,截面平均温度最高可达初始值的3.8倍;大粒径高孔隙率聚团增强的连通性强化了对流换热与热量输运,流速降至0.035~0.040 m/s,热流量最大增加约75%,热量散失更快。通过对模拟数据回归分析,建立了孔隙率φ与渗透率K、惯性阻力系数β及有效对流换热系数h的指数型定量函数,决定系数(R2)均高于0.998 7,均方根误差较经典Kozeny-Carman方程降低60%~85%,将所得的K(φ)、β(φ)、h(φ)函数组作为物理封闭关系嵌入宏观连续介质控制方程,构建了能够量化介尺度强化效应的跨尺度参数传递路径。本研究通过对比气煤与焦煤的结构特征与模拟结果,验证了所构建的指数型函数关系对不同煤种均具有良好的描述能力与普适性,为发展基于煤体非均匀介质与自燃非稳态过程的煤自燃多尺度预测模型提供了关键的理论参数与模型。

     

    Abstract: To elucidate the multi-scale correlation mechanism of coal spontaneous combustion and address the bottleneck of inaccurate prediction due to the lack of a consistent physical basis for key transport parameters in macroscopic models, this study is grounded in mesoscale science theory. It focuses on the critical mesoscale structure—particle agglomeration (mesoscale Ⅱ), which bridges microscopic reactions and macroscopic phenomena. The research aims to quantitatively characterize the synergistic evolution of flow and temperature fields within coal particle agglomerations during low-temperature oxidation, and further to establish quantitative functional relationships between pore structure and macroscopic parameters. This approach reveals the intrinsic link between cross-scale parameter transfer and the intensification of macroscopic phenomena. Gas coal and coking coal were selected to prepare loose coal samples with particle sizes of 0−3, 3−7, and 7−10 mm. X-ray computed tomography (CT) scanning and three-dimensional reconstruction techniques were employed to extract the real pore structure. The representative elementary volume (REV) of particle agglomerations was determined to be 300 voxels (approximately 1.671 3×109 μm3) through stability analysis of macroscopic parameters. Two-dimensional porous media models with different porosities (φ=0.5, 0.7, 0.9) were generated using the four-neighborhood method, and a mesoscale numerical model incorporating coal seepage, heat transfer, and a heat source term was constructed based on the lattice Boltzmann method (LBM) to systematically simulate the dynamic evolution of flow and temperature fields under different conditions. The results show that oxidation increases porosity, and when φ increases from 0.5 to 0.9, the surface area of 0−3, 3−7, and 7−10 mm particle agglomerations decrease by 86%, 83%, and 79%, respectively, indicating dramatic structural changes. The flow and temperature fields are jointly controlled by the pore structure, exhibiting two distinct heat transfer intensification paths. Under conditions of small particle size and low φ, flow channels are tortuous, with a peak velocity of 0.300−0.350 m/s, which induces a “fingering effect” and intensifies local heat accumulation, resulting in a cross-sectional average temperature up to 3.8 times the initial value. Under conditions of large particle size and high φ, enhanced flow channel connectivity intensifies convective heat transfer and heat transport, with the peak velocity decreasing to 0.035−0.040 m/s and the heat flux increasing by a maximum of approximately 75%, leading to faster heat dissipation. Regression analysis of the simulation data established exponential quantitative functions relating porosity φ to permeability K, inertial resistance coefficient β, and effective convective heat transfer coefficient h, with coefficients of determination (R2) exceeding 0.998 7 and root mean square errors reduced by 60%−85% compared to the classical Kozeny–Carman equation. The obtained function sets K(φ), β(φ), and h(φ) were embedded as physical closure relations into the macroscopic continuum governing equations, constructing a cross-scale parameter transfer pathway capable of quantifying mesoscale intensification effects. By comparing the structural characteristics and simulation results of gas coal and coking coal, the proposed exponential functions demonstrate strong descriptive capability and universality across different coal types. This study provides critical theoretical parameters and models for developing multi-scale prediction models of coal spontaneous combustion based on heterogeneous coal media and non-steady-state self-heating processes.

     

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