Solution of bivariate population balance equations with high-order moment-conserving method of classes

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In this work the high-order moment-conserving method of classes (HMMC) (Alopaeus et al., 2006) is extended to solve the bivariate Population Balance Equation (PBE). The method is capable of guaranteeing the internal consistency of the discretized equations for a generic moment set, including mixed-order moments of the distribution. The construction of the product tables in the case of aggregation, breakage and convection in internal coordinate space are discussed. Eventually, several test cases are considered to assess the accuracy of the method. The application to a realistic mass transfer problems in a liquid-liquid system is preliminarily discussed. The comparison with analytical solutions of pure aggregation problems shows that the proposed method is accurate with only a limited number of categories.


Original languageEnglish
Pages (from-to)111-124
Number of pages14
JournalComputers and Chemical Engineering
Publication statusPublished - 6 Apr 2016
MoE publication typeA1 Journal article-refereed

    Research areas

  • Bivariate, High-order moment-conserving method of classes (HMMC), Numerical methods, Particulate processes, Population balance, Two-component aggregation

ID: 1484056