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

Research output: Contribution to journalArticleScientificpeer-review

Standard

Solution of bivariate population balance equations with high-order moment-conserving method of classes. / Buffo, A.; Alopaeus, V.

In: Computers and Chemical Engineering, Vol. 87, 06.04.2016, p. 111-124.

Research output: Contribution to journalArticleScientificpeer-review

Harvard

APA

Vancouver

Author

Bibtex - Download

@article{a0423acde6f14ba59967dac44f52f3f7,
title = "Solution of bivariate population balance equations with high-order moment-conserving method of classes",
abstract = "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.",
keywords = "Bivariate, High-order moment-conserving method of classes (HMMC), Numerical methods, Particulate processes, Population balance, Two-component aggregation",
author = "A. Buffo and V. Alopaeus",
year = "2016",
month = "4",
day = "6",
doi = "10.1016/j.compchemeng.2015.12.013",
language = "English",
volume = "87",
pages = "111--124",
journal = "Computers and Chemical Engineering",
issn = "0098-1354",
publisher = "Elsevier BV",

}

RIS - Download

TY - JOUR

T1 - Solution of bivariate population balance equations with high-order moment-conserving method of classes

AU - Buffo, A.

AU - Alopaeus, V.

PY - 2016/4/6

Y1 - 2016/4/6

N2 - 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.

AB - 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.

KW - Bivariate

KW - High-order moment-conserving method of classes (HMMC)

KW - Numerical methods

KW - Particulate processes

KW - Population balance

KW - Two-component aggregation

UR - http://www.scopus.com/inward/record.url?scp=84955508218&partnerID=8YFLogxK

U2 - 10.1016/j.compchemeng.2015.12.013

DO - 10.1016/j.compchemeng.2015.12.013

M3 - Article

VL - 87

SP - 111

EP - 124

JO - Computers and Chemical Engineering

JF - Computers and Chemical Engineering

SN - 0098-1354

ER -

ID: 1484056