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  A Gaussian quadrature method for solving batch crystallization models

Qamar, S., Mukhtar, S., Ali, Q., & Seidel-Morgenstern, A. (2011). A Gaussian quadrature method for solving batch crystallization models. AIChE-Journal, 57(1), 149-159. doi:10.1002/aic.12264.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-8CD3-B Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0014-B3FF-5
Genre: Journal Article

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 Creators:
Qamar, S.1, 2, Author              
Mukhtar, S.2, Author
Ali, Q.2, Author
Seidel-Morgenstern, A.1, 3, Author              
Affiliations:
1Physical and Chemical Foundations of Process Engineering, Max Planck Institute for Dynamics of Complex Technical Systems, Max Planck Society, ou_1738150              
2COMSATS Institute of Information Technology, Islamabad, Pakistan, persistent:22              
3Otto-von-Guericke-Universität Magdeburg, External Organizations, ou_1738156              

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 Abstract: The quadrature method of moments (QMOM) has been recently introduced for solving population balance models. In this article, an alternative approach of QMOM is proposed for solving batch crystallization models describing crystals nucleation, size-dependent growth, aggregation, breakage, and dissolution of small nuclei below certain critical size. In this technique, orthogonal polynomials, obtained from the lower order moments, are used to find the quadrature abscissas (points) and weights. Several test problems with different combinations of processes are considered in this manuscript. The numerical results are compared with analytical solutions and with the finite-volume scheme results. Excellent agreements were observed on the moment calculations in all test cases. © 2010 American Institute of Chemical Engineers

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Language(s): eng - English
 Dates: 2011
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Method: Peer
 Identifiers: eDoc: 475580
Other: 3/11
DOI: 10.1002/aic.12264
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Title: AIChE-Journal
Source Genre: Journal
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Publ. Info: New York : American Institute of Chemical Engineers (AIChE)
Pages: - Volume / Issue: 57 (1) Sequence Number: - Start / End Page: 149 - 159 Identifier: ISSN: 0001-1541
CoNE: https://pure.mpg.de/cone/journals/resource/954925372782