An efficient numerical technique for solving population balance equation involving aggregation, breakage, growth and nucleation

摘要: Abstract A new discretization for simultaneous aggregation, breakage, growth and nucleation is presented. The an extension of the cell average technique developed by authors [J. Kumar, M. Peglow, G. Warnecke, S. Heinrich, L. Morl. Improved accuracy convergence discretized population balance aggregation: technique. Chemical Engineering Science 61 (2006) 3327–3342.]. It shown that scheme enjoys major advantage simplicity solving combined problems over other existing schemes. This done a special coupling different processes treats all in similar fashion as it handles individual process. demonstrated makes more useful being not only accurate but also computationally less expensive. At first, performed aggregation breakage problems. Furthermore, idea considers process particle with small nuclei In way resulting becomes very simple consistent first two moments. Additionally, easy to combine processes. pure little diffusive predicts moments exactly without any computational difficulties like appearance negative values or instability etc. numerical proposed this work can easily be extended consistency than Finally, coupled tasted on several analytically solvable