基于矩量法的过渡区颗粒沉积核函数修正及结果验证

doi:10.11949/0438-1157.20240414

摘要/Abstract

摘要：

密闭空间的颗粒沉积的精密预测在环境和工业领域具有至关重要的意义。本研究的重点是通过修正矩量法中的沉积核函数，使得粒子沉积核函数更加接近精确值从而增强预测模型的准确性。首先，通过引入线性算子修正了坎宁汉滑移系数，使得过渡区沉积核函数更接近精确解。然后，基于对数正态尺寸分布理论，采用矩量法（MOM）建模气溶胶粒子的沉积模型，并对过渡区尺寸范围的粒子的分布结果进行预测。最后，对比了修正解、传统矩量法解、解析解及精确解，结果表明：矩量法修正解在颗粒数浓度、平均几何标准差和颗粒尺寸分布方面表现出更高的精度。在粒子的过渡区尺寸范围内，与传统矩量法解相比，修正解的颗粒数浓度相对误差降低了43.43%。最后通过文献中的实验数据进一步验证了过渡区内沉积核函数的修正效果。

关键词: 气溶胶, 沉积核函数, 数值模拟, 矩量法, 两相流

Abstract:

The accurate prediction of particle deposition in confined space is of vital importance in the environmental and industrial fields. This study focuses on correcting slip correction factor to elevate the accuracy of these models. Primarily, the slip correction factor, a pivotal parameter in closed chamber particle deposition, undergoes correction to bring the deposition coefficient into closer alignment with exact values, augmenting the reliability of predictive models. Furthermore, based on the log-normal size distribution theory, the moment method (MOM) is used to model the deposition model of aerosol particles, and the distribution results of particles in the transition zone size range are predicted. By comparing the corrected solutions with traditional moment method solutions as well as exact solutions, the new solutions of the moment method show higher accuracy in particle number concentration, mean geometric standard deviation, and particle distribution. The relative error of the new solution for particle number concentration is reduced by 43.43%, compared with the traditional moment method solution in the intermediate size range. At last, this research verified the corrected solutions with the experimental data from the literature.

Key words: aerosol, deposition coefficient, numerical simulation, moment method, two-phase flow

中图分类号:

TQ 019

柳祝勋, 杨光, 吴静怡. 基于矩量法的过渡区颗粒沉积核函数修正及结果验证[J]. 化工学报, 2024, 75(12): 4468-4476.

Zhuxun LIU, Guang YANG, Jingyi WU. Improvement on particle deposition prediction in the intermediate size range based on the moment method[J]. CIESC Journal, 2024, 75(12): 4468-4476.

图/表 6

图1 滑移修正系数的简化方式

Fig.1 Simplified method of slip correct factor

图2 沉积核函数的修正结果

Fig.2 Corrected deposition coefficient

图3 重力主导范围内粒径分布参数变化比较（rg0=3 μm；σ0=1.5）

Fig.3 Comparison of changes in particle size distribution parameters in the gravitation-dominant range (rg0=3 μm; σ0=1.5)

图4 过渡区范围内粒子分布参数变化比较（rg0=0.1 μm；σ0=1.5)

Fig.4 Comparison of changes in particle size distribution parameters in the intermediate size range (rg0=0.1 μm; σ0=1.5)

图5 过渡区内粒子尺寸分布变化比较（rg0=0.1 μm；σ0=1.5）

Fig.5 Comparison of change in particle size distribution in the particle size range of the intermediate size range(rg0=0.1 μm; σ0=1.5)

图6 预测与实验粒子浓度演化比较

Fig.6 Comparison of predicted and experimental particle concentration evolution

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