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  Bivariate Extension of the Quadrature Method of Moments for Batch Crystallization Models

Qamar, S., Noor, S., ul Ain, Q., & Seidel-Morgenstern, A. (2010). Bivariate Extension of the Quadrature Method of Moments for Batch Crystallization Models. Industrial and Engineering Chemistry Research, 49(22), 11633-11644. doi:10.1021/ie101108s.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-90D2-A Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0014-B4D9-2
Genre: Journal Article

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 Creators:
Qamar, S.1, 2, Author              
Noor, S.2, Author
ul Ain, 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: This Article presents a bivariate extension of the quadrature method of moments for solving two-dimensional batch crystallization models involving crystals nucleation, size-dependent growths, aggregation, and dissolution of small nuclei below certain critical size in a dissolution unit. In this technique, orthogonal polynomials of lower order moments are used to find the quadrature abscissas (points) and weights. Several benchmark problems with different combinations of processes are considered in this Article. The accuracy and efficiency of the proposed method are validated against the analytical solutions and the high-resolution finite volume scheme. Excellent agreements were observed in all test problems. It was found that the current method is very efficient and accurate as compared to the high-resolution finite volume scheme. copyright 2010 American Chemical Society [accessed November 18th, 2010]

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Language(s): eng - English
 Dates: 2010
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Method: Peer
 Identifiers: eDoc: 499532
Other: 40/10
DOI: 10.1021/ie101108s
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Title: Industrial and Engineering Chemistry Research
Source Genre: Journal
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Publ. Info: Washington, D.C : American Chemical Society
Pages: - Volume / Issue: 49 (22) Sequence Number: - Start / End Page: 11633 - 11644 Identifier: ISSN: 0888-5885
CoNE: https://pure.mpg.de/cone/journals/resource/954928546246