Mass, Momentum and Energy Transfer to/from Fractal-like Aggregates

本项目的目标是确定在定量分析涉及分形集合体的输运现象时将有用的标度定律。这种结构是在生产亚微米颗粒的气溶胶反应堆中遇到的常见特征。在遇到高产出率的工业反应堆中，它们的形成是不可避免的。PI将开发一种计算比例律的逻辑方法，该方法将把集群大小与传输速率联系起来，并为预测其性质提供更好的基础。这是一个具有重大现实意义的重要问题。类分形团聚体代表了一类经常遇到的几何形状，一般的处理方法将具有重要的价值，特别是对于纳米颗粒。虽然解决方案适用于大类球形粒子，但开发一种针对类分形粒子的通用治疗方法将是一项重大进步。他们计划将他们的分析扩展到克努森数适中的区域。PI计划使用最近开发的准蒙特卡罗方法来减少计算时间。

The objective of this project is to identify scaling laws that will be useful in the quantitative analysis of transport phenomena involving fractal aggregates. Such structures are a common feature encountered in aerosol reactors producing submicron particles. Their formation is inevitable in industrial reactors where high output rates are encountered. The PIs will develop a logical methodology for calculating the scaling laws, which will relate cluster size to transport rates and provide a better base for predicting their properties. The problem is an important one with significant practical implications. Fractal-like agglomerates represent a class of geometries frequently encountered, and a general treatment would be of significant value, especially for nanoparticles. While solutions are available for large classes of spherical particles, developing a general treatment for fractal-like particles would represent a major advance. They plan to extend their analysis to the regime of moderate Knudsen numbers. The PIs plan to use the Quasi-Monte Carlo method, recently developed by others, for reduction of computation time.