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:
Pacific NW Natl Lab, Hydrol Energy & Environm Directorate, Richland, WA 99352 USAPacific NW Natl Lab, Hydrol Energy & Environm Directorate, Richland, WA 99352 USA
Li, Xinya
Chen, Xiao
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机构:
Lawrence Livermore Natl Lab, Ctr Appl Sci Comp, Livermore, CA 94551 USAPacific NW Natl Lab, Hydrol Energy & Environm Directorate, Richland, WA 99352 USA
Chen, Xiao
Hu, Bill X.
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机构:
Florida State Univ, Dept Earth Ocean & Atmospher Sci, Tallahassee, FL 32306 USAPacific NW Natl Lab, Hydrol Energy & Environm Directorate, Richland, WA 99352 USA
Hu, Bill X.
Navon, I. Michael
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机构:
Florida State Univ, Dept Comp Sci, Tallahassee, FL 32306 USAPacific NW Natl Lab, Hydrol Energy & Environm Directorate, Richland, WA 99352 USA
机构:
Washington State Univ, Sch Engn & Comp Sci, Mech Engn Program, Vancouver, WA 98686 USAWashington State Univ, Sch Engn & Comp Sci, Mech Engn Program, Vancouver, WA 98686 USA
Binion, David
Chen, Xiaolin
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机构:
Washington State Univ, Sch Engn & Comp Sci, Mech Engn Program, Vancouver, WA 98686 USAWashington State Univ, Sch Engn & Comp Sci, Mech Engn Program, Vancouver, WA 98686 USA
机构:
Univ Fed Rio de Janeiro, Dept Mech Engn, BR-21941 Rio De Janeiro, RJ, BrazilUniv Fed Rio de Janeiro, Dept Mech Engn, BR-21941 Rio De Janeiro, RJ, Brazil
Ritto, T. G.
Buezas, F. S.
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机构:
Univ Nacl Sur, CONICET, Dept Fis, RA-8000 Bahia Blanca, Buenos Aires, ArgentinaUniv Fed Rio de Janeiro, Dept Mech Engn, BR-21941 Rio De Janeiro, RJ, Brazil
Buezas, F. S.
Sampaio, Rubens
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机构:
Pontificia Univ Catolica Rio de Janeiro, Dept Mech Engn, Rio de Janeiro, BrazilUniv Fed Rio de Janeiro, Dept Mech Engn, BR-21941 Rio De Janeiro, RJ, Brazil