Simulation of micro-behaviors including nucleation,growth, and aggregation in particle system

• 来源期刊: 中国科学B辑（英文版）
• 年，卷（期）: 2009,（2）
• 页码范围: 241-248
• 页数: 8页
• 语种: 英文
• DOI: 10.1007/s11426-009-0014-2

摘要

A new method for the solution of population balance equations (PBE) describing the micro-processes such as nucleation, growth, aggregation of particle swarms in a multiphase system is proposed. The method is based on the fixed pivot moment and allows arbitrary number of moments to be tracked si-multaneously. By expressing PBEs for both batch and continuous operations in a general form, and using weighted residual method to derive the moment equations, different moments can be tracked directly. The numerical density function is assumed to be a summation of several weighted Dirac Delta functions, and the integral and derivative terms in PBEs are transformed to a summation in order to reduce computational cost. Simulations of a batch nucleation-growth process and a continuous ag-gregation-growth process have demonstrated good agreement with the corresponding analytical solu-tions, with relative errors less than 10-8%. Simulation of a combined nucleation-growth-aggregation process, which does not have an analytical solution, is also included, so as to reproduce the mi-cro-behaviors of such a complex system, demonstrating the feasibility and reliability of this method.