Numerical analysis;
Population balance;
Crystallization;
Particulate processes;
Model order reduction;
Proper orthogonal decomposition;
POPULATION BALANCE-EQUATIONS;
QUADRATURE METHOD;
DYNAMICS;
APPROXIMATION;
AGGREGATION;
NUCLEATION;
SIMULATION;
MOMENTS;
GROWTH;
D O I:
10.1016/j.ces.2011.05.053
中图分类号:
TQ [化学工业];
学科分类号:
0817 ;
摘要:
Crystallization processes are characterized by close interaction between particle formation and fluid flow. A detailed physical description of these processes leads to complicated high-order models whose numerical solution is challenging and computationally expensive. For advanced process control and other model based real-time applications, reduced order models are required. In this work, a reduced model for a urea crystallizer is derived from a detailed reference model with two external and one internal coordinate. Proper orthogonal decomposition is applied to all three coordinates to obtain a low-order representation of the system. Nonlinear terms are treated efficiently by best points interpolation. Simulations are carried out to show the good agreement between reduced model and reference model. (C) 2011 Elsevier Ltd. All rights reserved.
机构:
Univ Mohammed VI Polytech, Int Water Res Inst, Benguerir, MoroccoUniv Mohammed VI Polytech, Int Water Res Inst, Benguerir, Morocco
El Mocayd, Nabil
Mohamed, M. Shadi
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机构:
Heriot Watt Univ, Sch Energy Geosci Infrastruct & Soc, Edinburgh EH14 4AS, Midlothian, ScotlandUniv Mohammed VI Polytech, Int Water Res Inst, Benguerir, Morocco
Mohamed, M. Shadi
Ouazar, Driss
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Univ Mohammed VI Polytech, Int Water Res Inst, Benguerir, MoroccoUniv Mohammed VI Polytech, Int Water Res Inst, Benguerir, Morocco
Ouazar, Driss
Seaid, Mohammed
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机构:
Univ Durham, Dept Engn, South Rd, Durham DH1 3LE, EnglandUniv Mohammed VI Polytech, Int Water Res Inst, Benguerir, Morocco
机构:
Scuola Super Sant Anna, BioRobot Inst, Pisa, Italy
Scuola Super Sant Anna, Dept Excellence Robot & AI, Pisa, ItalyScuola Super Sant Anna, BioRobot Inst, Pisa, Italy
Manduca, Gianluca
Zhu, Zhaoxuan
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机构:
Auton Res Motional, Boston, MA USAScuola Super Sant Anna, BioRobot Inst, Pisa, Italy
Zhu, Zhaoxuan
Ringler, Polina B.
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机构:
Colorado Sch Mines, Dep Mech Engn, Golden, CO USAScuola Super Sant Anna, BioRobot Inst, Pisa, Italy
Ringler, Polina B.
Fan, Guodong
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机构:
Shanghai Jiao Tong Univ, Sch Mech Engn, Shanghai, Peoples R ChinaScuola Super Sant Anna, BioRobot Inst, Pisa, Italy
Fan, Guodong
Canova, Marcello
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机构:
Ohio State Univ, Ctr Automot Res, Columbus, OH USAScuola Super Sant Anna, BioRobot Inst, Pisa, Italy
Canova, Marcello
2023 IEEE VEHICLE POWER AND PROPULSION CONFERENCE, VPPC,
2023,
机构:
Univ Bojnord, Math Dept, 4 Km Rd Esfarayen, Bojnord 94531551110, North Khorasan, IranUniv Bojnord, Math Dept, 4 Km Rd Esfarayen, Bojnord 94531551110, North Khorasan, Iran
机构:
Kompetenzzentrum Das Virtuelle Fahrzeug Forsch Ge, Area Mech, Graz, AustriaKompetenzzentrum Das Virtuelle Fahrzeug Forsch Ge, Area Mech, Graz, Austria
Suhr, Bettina
Rubesa, Jelena
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机构:
Kompetenzzentrum Das Virtuelle Fahrzeug Forsch Ge, Area Elect & Elect, Graz, AustriaKompetenzzentrum Das Virtuelle Fahrzeug Forsch Ge, Area Mech, Graz, Austria