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  An Efficient Numerical Method for Solving a Model Describing Crystallization of Polymorphs

Qamar, S., Noor, S., & Seidel-Morgenstern, A. (2010). An Efficient Numerical Method for Solving a Model Describing Crystallization of Polymorphs. Industrial and Engineering Chemistry Research, 49(10), 4940-4947. doi:10.1021/ie9018353.

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 Creators:
Qamar, S.1, 2, Author           
Noor, S.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: Polymorphism, in which a chemical compound exhibits different crystal forms or structures, has significant influence on the processing and storage of some crystalline powders in pharmaceutical industry. Different crystal structures, the so-called polymorphs, have different physical and chemical properties, such as crystal morphology, solubility, and color. These properties can have profound effect on the performance of products. This fact has motivated several researchers in this field to analyze, simulate, and control the crystallization of polymorphs. In this article, an efficient and accurate numerical method is introduced for solving a model describing crystallization of polymorphs. The proposed method has two parts. In the first part, a coupled system of ordinary differential equations of moments and the solute concentration is numerically solved in the time domain of interest. The resulting values are used to get the discrete growth and nucleation rates in the same time domain. In the second part, these discrete values along with the initial crystal size distribution (CSD) are used to construct the final CSD. The method is applied to a model describing crystallization of polymorphs of l-glutamic acid. For a validation, the results of the proposed technique are compared with those from the finite volume schemes. The numerical results demonstrate the potential of our scheme for the simulation of current model with high efficiency and accuracy. Copyright © 2010 American Chemical Society [accessed May 7, 2010]

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Language(s): eng - English
 Dates: 2010
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: eDoc: 475577
DOI: 10.1021/ie9018353
Other: 46/10
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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 (10) Sequence Number: - Start / End Page: 4940 - 4947 Identifier: ISSN: 0888-5885
CoNE: https://pure.mpg.de/cone/journals/resource/954928546246