Numerical solution of the population balance equation under turbulent flow conditions -

Abstract

In this work, the algorithm developed by Azizi and Al Taweel (2011) to solve the population balance equation using the sampling approach and the moving grid technique will be used to solve the population balance equation under various operating conditions. Two models will be employed to simulate turbulently flowing gas-liquid systems, namely, the models of Coulaloglou and Tavlarides (1977), and Wang et al. (2003). The models will be used to simulate the two-phase flow in pipes equipped with static mixers that exhibit regions of low, moderate, and high energy dissipation, where the conditions change drastically in very short times. The model constants used in the model of Coulaloglou and Tavlarides (1977) will first be optimized. The simulation results will then be compared to experimental results for validation.