二组分颗粒群凝并的尺度分布函数及组分分布演化研究
发布时间：2018-08-28 05:57
【摘要】：近年来,灰霾天气频发,对环境及人体健康造成了严重的危害。病理学研究表明灰霾颗粒对环境及人体健康的危害程度一方面取决于颗粒尺度,另一方面取决于颗粒组分及形态。故而,简单的单组分颗粒群模型已经不能充分的揭示灰霾颗粒的复杂性。本文正是在这样背景下,利用理论分析及数值模拟来研究二组分颗粒群尺度及组分分布规律。首先,论文分析二组分颗粒群平衡方程在与组分有关凝并核情形时的解析解。这里分析组分的凝并率,并主要关注与组分有关的凝并核模型(,;',')(,'')a b a b a b a bK v v v v?k?v?v?v?v。利用拉普拉斯变换及LagrangeCharpit方法,得到了与组分有关的加法核以及乘法核时方程的解析解。通过对与组分有关加法核解的分析,我们发现在给定的颗粒类中,颗粒越大组分混合的越好,并且在较大颗粒类中,a组分趋于正态分布,在长时间演化后其分布与参数?无关。而对乘法核解析解分析发现,在凝胶化发生前后,参数?对颗粒组分分布的影响有明显的差异。其次,论文研究颗粒在长时间演化后尺度及组分的分布规律。对与组分无关及与组分有关的经典凝并核,分别研究了在scaling极限(时间趋于无穷,平均尺度趋于无穷时使得scaling变量为常数)下二参数scaling函数。发现对与组分有关的加法核,二参数scaling函数也满足Vigil-Ziff猜想。这一结果将Vigil-Ziff猜想推广至凝并与组分有关的情况。再次,论文对二组分颗粒群凝并的数值方法做了思考。在Simmel的单组分线性离散法(LDM)的基础上,论文发展了二组分线性离散法。用发展的二组分线性离散法模拟了两种典型工况,并把模拟结果与理论结果进行比较,二者拟合的较好。这一方法弥补了Bott发展的二维线性流量法(TFM)只能处理单组分颗粒占优的工况这一缺陷。最后,论文通过数值模拟分析亚微米灰霾颗粒的组分分布。考察了亚微米颗粒(PM1.0)在布朗凝并机理下,痕量重金属元素在灰霾颗粒中的组分分布形式。发现在较大灰霾颗粒类中重金属物质含量逐渐增加并且其粒径分布趋于正态分布;较小粒径的灰霾颗粒中重金属物质质量百分比满足幂律关系。本文对经典核所得到的理论分析及数值模拟结果,可以为现实条件下凝并对灰霾颗粒尺度及组分分布的影响研究提供参考。
[Abstract]:In recent years, haze weather frequent, to the environment and human health caused serious harm. Pathological studies show that the degree of haze particles harm to the environment and human health depends on particle size on the one hand and on particle composition and morphology on the other. Therefore, the simple one-component particle swarm model can not fully reveal the complexity of haze particles. In this paper, theoretical analysis and numerical simulation are used to study the size and distribution of two-component particle groups. Firstly, the analytical solution of two-component particle group equilibrium equation in the case of conucleation is analyzed. In this paper, the coagulation rate of the components is analyzed, and the major concern is the coagulation and nucleation model () a b a bK v'). By using Laplace transform and LagrangeCharpit method, the analytical solutions of the additive kernel and the multiplicative kernel are obtained. Through the analysis of the additive kernel solutions related to the components, we find that the larger the particles are, the better the mixing of the components is, and the larger the particles are, the more the components tend to be normal distribution, and the distribution and the parameters of the larger particles tend to be normal after a long period of evolution. Nothing. The analysis of the analytic solution of multiplicative kernels shows that before and after gelation, the parameters? There are obvious differences on the distribution of particle components. Secondly, the size and component distribution of particles after long time evolution are studied. In this paper, we study the two-parameter scaling function under the scaling limit (when the time tends to infinity and the mean scale tends to infinity) for the classical conjunctive kernels which are independent of components and are related to components. It is found that the two-parameter scaling function satisfies Vigil-Ziff 's conjecture for additive kernels related to components. This result extends Vigil-Ziff 's conjecture to the case of coagulation and component-related conditions. Thirdly, the numerical method of two-component particle agglomeration is discussed in this paper. Based on Simmel's one component linear discretization method (LDM), a two component linear discretization method is developed in this paper. Two typical conditions are simulated by using the developed two-component linear discrete method. The simulation results are compared with the theoretical results and the results are fitted well. This method makes up for the defect that the two-dimensional linear flow method (TFM) developed by Bott can only deal with the condition where single component particles are dominant. Finally, the composition distribution of submicron haze particles is analyzed by numerical simulation. The distribution of trace heavy metal elements in haze particles under Brownian condensation mechanism of submicron particles (PM1.0) was investigated. It was found that the content of heavy metals in the larger haze particles increased gradually and the particle size distribution tended to be normal, and the mass percentage of heavy metals in the haze particles with smaller particle size satisfied the power law relationship. The theoretical analysis and numerical simulation results obtained from the classical nuclei can provide a reference for the study of particle size and component distribution of haze in practical conditions.
【学位授予单位】：上海大学
【学位级别】：博士
【学位授予年份】：2016
【分类号】：X513;O211.3
本文编号：2208447
[Abstract]:In recent years, haze weather frequent, to the environment and human health caused serious harm. Pathological studies show that the degree of haze particles harm to the environment and human health depends on particle size on the one hand and on particle composition and morphology on the other. Therefore, the simple one-component particle swarm model can not fully reveal the complexity of haze particles. In this paper, theoretical analysis and numerical simulation are used to study the size and distribution of two-component particle groups. Firstly, the analytical solution of two-component particle group equilibrium equation in the case of conucleation is analyzed. In this paper, the coagulation rate of the components is analyzed, and the major concern is the coagulation and nucleation model () a b a bK v'). By using Laplace transform and LagrangeCharpit method, the analytical solutions of the additive kernel and the multiplicative kernel are obtained. Through the analysis of the additive kernel solutions related to the components, we find that the larger the particles are, the better the mixing of the components is, and the larger the particles are, the more the components tend to be normal distribution, and the distribution and the parameters of the larger particles tend to be normal after a long period of evolution. Nothing. The analysis of the analytic solution of multiplicative kernels shows that before and after gelation, the parameters? There are obvious differences on the distribution of particle components. Secondly, the size and component distribution of particles after long time evolution are studied. In this paper, we study the two-parameter scaling function under the scaling limit (when the time tends to infinity and the mean scale tends to infinity) for the classical conjunctive kernels which are independent of components and are related to components. It is found that the two-parameter scaling function satisfies Vigil-Ziff 's conjecture for additive kernels related to components. This result extends Vigil-Ziff 's conjecture to the case of coagulation and component-related conditions. Thirdly, the numerical method of two-component particle agglomeration is discussed in this paper. Based on Simmel's one component linear discretization method (LDM), a two component linear discretization method is developed in this paper. Two typical conditions are simulated by using the developed two-component linear discrete method. The simulation results are compared with the theoretical results and the results are fitted well. This method makes up for the defect that the two-dimensional linear flow method (TFM) developed by Bott can only deal with the condition where single component particles are dominant. Finally, the composition distribution of submicron haze particles is analyzed by numerical simulation. The distribution of trace heavy metal elements in haze particles under Brownian condensation mechanism of submicron particles (PM1.0) was investigated. It was found that the content of heavy metals in the larger haze particles increased gradually and the particle size distribution tended to be normal, and the mass percentage of heavy metals in the haze particles with smaller particle size satisfied the power law relationship. The theoretical analysis and numerical simulation results obtained from the classical nuclei can provide a reference for the study of particle size and component distribution of haze in practical conditions.
【学位授予单位】：上海大学
【学位级别】：博士
【学位授予年份】：2016
【分类号】：X513;O211.3
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