LAPSE:2019.1032
Published Article
LAPSE:2019.1032
A Numerical Approach to Solve Volume-Based Batch Crystallization Model with Fines Dissolution Unit
Safyan Mukhtar, Muhammad Sohaib, Ishfaq Ahmad
September 23, 2019
In this article, a numerical study of a one-dimensional, volume-based batch crystallization model (PBM) is presented that is used in numerous industries and chemical engineering sciences. A numerical approximation of the underlying model is discussed by using an alternative Quadrature Method of Moments (QMOM). Fines dissolution term is also incorporated in the governing equation for improvement of product quality and removal of undesirable particles. The moment-generating function is introduced in order to apply the QMOM. To find the quadrature abscissas, an orthogonal polynomial of degree three is derived. To verify the efficiency and accuracy of the proposed technique, two test problems are discussed. The numerical results obtained by the proposed scheme are plotted versus the analytical solutions. Thus, these findings line up well with the analytical findings.
Keywords
orthogonal polynomials, quadrature method of moments, volume-based population balance model with fines dissolution
Suggested Citation
Mukhtar S, Sohaib M, Ahmad I. A Numerical Approach to Solve Volume-Based Batch Crystallization Model with Fines Dissolution Unit. (2019). LAPSE:2019.1032
Author Affiliations
Mukhtar S: Department of Basic Sciences, Deanship of Preparatory Year, King Faisal University, 31982 Hofuf, Al Ahsa, Saudi Arabia
Sohaib M: Department of Mathematics & Statistics, Bacha Khan University, 24461 Palosa, Charsadda Khyber Pakhtunkhwa, Pakistan
Ahmad I: Department of Mathematics & Statistics, Bacha Khan University, 24461 Palosa, Charsadda Khyber Pakhtunkhwa, Pakistan
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Journal Name
Processes
Volume
7
Issue
7
Article Number
E453
Year
2019
Publication Date
2019-07-15
Published Version
ISSN
2227-9717
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Original Submission
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PII: pr7070453, Publication Type: Journal Article
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LAPSE:2019.1032
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doi:10.3390/pr7070453
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Sep 23, 2019
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Sep 23, 2019
 
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Calvin Tsay
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