Solução de equações de balanço populacional usando a técnica da transformada de Laplace e filtros de partículas ASIR

Abstract

The solution of population balance equations (PBEs) is essential for modeling processes involving the evolution of particle size distributions in multiphase systems. In this work, the Laplace transform technique was used to convert differential PBEs into algebraic equations, simplifying their resolution. In addition, the Auxiliary Sampling Importance Resampling (ASIR) particle filter method was employed to improve the estimation of particle size distributions. The proposed approach was applied to different systems, demonstrating its efficiency and accuracy in modeling complex phenomena. The results indicate that combining the Laplace transform with particle filters significantly improves the convergence and robustness of the obtained solutions.