Mathematical modelling of particle-laden turbulent flows

本研究系关于发展数学模式以预测气体紊流中微粒之运动。这个问题与许多工程应用有关，包括液体燃料液滴的燃烧、大气中的污染物扩散以及药物气雾剂药物输送系统的设计。计算流体动力学（CFD）越来越多地用于帮助分析这些流动，并有助于改进工程设计。在这种流动中遇到的复杂几何形状和典型的高雷诺数需要使用雷诺平均Navier-Stokes（RANS）建模，因为与大涡模拟（LES）或直接数值模拟（DNS）相关的高计算工作量排除了大多数工程应用中使用这些方法。因此，有必要开发数学模型，这些模型能够捕捉颗粒/湍流相互作用的基本物理特性，但又足够简单，可以纳入标准CFD代码中，

This research is concerned with the development of mathematical models to predict the motion of particulates in a gaseous turbulent flow. This problem is relevant to many engineering applications including the combustion of liquid fuel droplets, pollution dispersion in the atmosphere, and the design of pharmaceutical aerosol drug delivery systems. Computational fluid dynamics (CFD) is used increasingly to aid in the analysis of these flows and is useful for development of improved engineering designs. The complex geometries and typically high Reynolds numbers encountered in such flows necessitate the use of Reynolds Averaged Navier-Stokes (RANS) modelling since the high computational effort associated with large eddy simulation (LES) or direct numerical simulation (DNS) precludes the use of those methods for most engineering applications. It is thus necessary to develop mathematical models that capture the essential physics of the particulate/turbulence interactions, and yet are simple enough to be incorporated into standard CFD codes that