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

该项目的目的是确定尺度规律，这将有助于对涉及分形聚集体的输运现象进行定量分析。这种结构是在产生亚微米粒子的气溶胶反应器中遇到的常见特征。它们的形成在工业反应器中是不可避免的，因为在工业反应器中会遇到高输出速率。pi将开发一种计算标度定律的逻辑方法，这将把簇大小与传输速率联系起来，并为预测它们的性质提供更好的基础。这是一个具有重大实际意义的重要问题。分形团块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。虽然解决方案可用于大类别的球形颗粒，但开发分形颗粒的一般处理将代表一个重大进步。他们计划将他们的分析扩展到中等克努森数。为了减少计算时间，pi计划使用最近由其他人开发的准蒙特卡罗方法。

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.