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Numerical Solutions of Population Balance Equations within Liquid/Gas‐Liquid Flow Simulations

Numerical solvers based on population balance equations (PBE) coupled with flow equations are a promising approach to simulate liquid/gas-liquid dispersed flows, which are very commonly observed in nature and in industrial processes. The challenges for the numerical solution of the coupled equation systems are discussed and detailed numerical recipes are presented whose main ingredients are the method of classes, positivity-preserving linearization and the high-order FEM-AFC schemes, additional to the FeatFlow in-house flow solver package. Liquid-liquid flows through static mixers and dispersed phase systems in a flat bubble column are studied with the accordingly developed computational tool. The suggested recipes were validated by comparing the numerical results against experimental data.