دانلود رایگان مقاله لاتین مدل سازی ریاضی تبلور جریان اسلاگ از سایت الزویر
عنوان فارسی مقاله:
مدل سازی ریاضی و طراحی بهینه چند مرحله تبلور جریان اسلاگ
عنوان انگلیسی مقاله:
Mathematical modeling and optimal design of multi-stage slug-flow crystallization
سال انتشار : 2016
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مقدمه انگلیسی مقاله:
1. Introduction
In the pharmaceutical industry, consistent in-spec products from a well-defined robust crystallization process design are crucial for both FDA regulation and operational practice (Yu et al., 2004; Nagy et al., 2008). Continuous-flow tubular crystallizers have shown potential for high reproducibility and process efficiency at low capital and production cost (Alvarez and Myerson, 2010; Lawton et al., 2009; Fergusen et al., 2012; Vacassy et al., 2000; Jiang et al., 2014; Eder et al., 2010, 2011). A technology that combines the advantages of continuous and batch crystallizers is the air/liquid slug-flow crystallizer (Jiang et al., 2014; Eder et al., 2010, 2011, 2012; and citations therein), which has advantages that include narrow residence time distribution, no stirrer for inducing particle attrition/breakage, and easy post-crystallization separation. The potential application of slug-flow crystallization in the final stage of pharmaceutical manufacturing motivates this design study. As in batch crystallizers (e.g., Nagy and Braatz, 2012; Simon et al., 2015; and citations therein), the robustness of slug-flow crystallization process operation requires an understanding of how the supersaturation profile is affected by design variables (e.g., method and speed of supersaturation generation) and corresponding implementation. For example, supersaturation shouldbe minimized so as to avoid impurity incorporation and secondary nucleation, which is important for slug-flow crystallization due to its typically short residence time (on the order of minutes, Eder et al., 2012;Jiang et al., 2014, 2015) and with fast heattransfer (from the large surface area to volume ratio of tubular crystallizers). This article presents a design procedure for slug-flow continuous cooling crystallization with the objective of minimizing the maximum supersaturation. Two common methods of cooling are compared: heat baths and double-pipe heat exchangers (Levenspiel, 1962). The effect of design variables on the supersaturation profile is analyzed (e.g., temperatures and locations of heat baths/exchangers, length of tubing). A population balance model for batch crystallization (e.g., Hulburt and Katz, 1964; Randolph and Larson, 1974) is applied to individual slugs, with the batch residence time replaced by continuous residence time (running time). Unlike a past study that mathematical modeled a slug-flow crystallizer (Kubo et al., 1998),this article considers a different crystallization mechanism (cooling crystallization instead of reactive precipitation), different crystallization phenomena (growth ofindividual crystals instead of aggregation), and not only analyzes our experimental proof-of-concept demonstration (Jiang et al., 2014) but also analyzes the effect of the design variables and applies optimization (e.g., of the number of heat exchangers and the length of tubing in each heat bath/exchanger) while minimizing the total equipment cost.
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کلمات کلیدی:
Indirect Ultrasonication in Continuous Slug-Flow Crystallization ... pubs.acs.org/doi/abs/10.1021/acs.cgd.5b00263 by M Jiang - 2015 - Cited by 24 - Related articles Apr 7, 2015 - Continuous-flow solution crystallization is an approach to ... Mathematical modeling and optimal design of multi-stage slug-flow crystallization. Mathematical modeling and optimal design of multi-stage slug-flow ... https://puma.ub.uni-stuttgart.de/.../140381b23747f715562595ccde... Translate this page @article{journals/cce/RascheJB16, added-at = {2016-11-03T00:00:00.000+0100}, author = {Rasche, Michael L. and Jiang, Mo and Braatz, Richard D.}, biburl ... Dynamic Modeling and Control of Multi-Stage Slug-Flow ... - AIChE https://www.aiche.org/.../dynamic-modeling-and-control-multi-stage-slug-flow-crystal... Dynamic Modeling and Control of Multi-Stage Slug-Flow Crystallization ... The design of robust pharmaceutical crystallization processes has been of high interest ... Optimal steady-state spatial profiles for the four-stage slug-flow crystallizer are ... Mo Jiang - Google Scholar Citations scholar.google.com/citations?user=kJHh6xoAAAAJ&hl=en Massachusetts Institute of Technology - mit.edu Continuous-flow tubular crystallization in slugs spontaneously induced by ... Mathematical modeling and optimal design of multi-stage slug-flow crystallization. optimal* design - Search Knovel https://app.knovel.com/web/search.v?q=optimal*%20design&my... A model-based design of experiments (MBDoE) approach is proposed in this paper to .... Mathematical modeling and optimal design of multi-stage slug-flow ...