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 Minnesota Twin Cities, Dept Mech Engn, 111 Church St SE, Minneapolis, MN 55455 USAUniv Minnesota Twin Cities, Dept Mech Engn, 111 Church St SE, Minneapolis, MN 55455 USA
Deokar, R.
Shimada, M.
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Univ Minnesota Twin Cities, Dept Mech Engn, 111 Church St SE, Minneapolis, MN 55455 USAUniv Minnesota Twin Cities, Dept Mech Engn, 111 Church St SE, Minneapolis, MN 55455 USA
Shimada, M.
Lin, C.
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机构:
Natl Cheng Kung Univ, Dept Mech Engn, 1 Univ Rd, Tainan, TaiwanUniv Minnesota Twin Cities, Dept Mech Engn, 111 Church St SE, Minneapolis, MN 55455 USA
Lin, C.
Tamma, K. K.
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Univ Minnesota Twin Cities, Dept Mech Engn, 111 Church St SE, Minneapolis, MN 55455 USAUniv Minnesota Twin Cities, Dept Mech Engn, 111 Church St SE, Minneapolis, MN 55455 USA
机构:
Univ Technol Compiegne, Lab Roberval, UMR UTC CNRS 7337, Compiegne, France
Northwestern Polytech Univ, Xian 710072, Peoples R ChinaUniv Technol Compiegne, Lab Roberval, UMR UTC CNRS 7337, Compiegne, France
Xia, Liang
Raghavan, Balaji
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Univ Technol Compiegne, Lab Roberval, UMR UTC CNRS 7337, Compiegne, FranceUniv Technol Compiegne, Lab Roberval, UMR UTC CNRS 7337, Compiegne, France
Raghavan, Balaji
Breitkopf, Piotr
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Univ Technol Compiegne, Lab Roberval, UMR UTC CNRS 7337, Compiegne, FranceUniv Technol Compiegne, Lab Roberval, UMR UTC CNRS 7337, Compiegne, France
Breitkopf, Piotr
Zhang, Weihong
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Northwestern Polytech Univ, Xian 710072, Peoples R ChinaUniv Technol Compiegne, Lab Roberval, UMR UTC CNRS 7337, Compiegne, France