Forward and inverse integration of population balance equations with size-dependent growth rate

IFAC Proceedings Volumes ◽

10.3182/20100705-3-be-2011.00069 ◽

2010 ◽

Vol 43 (5) ◽

pp. 415-420

Author(s):

Naim Bajcinca

Keyword(s):

Growth Rate ◽

Population Balance ◽

Balance Equations ◽

Population Balance Equations ◽

Size Dependent ◽

Dependent Growth

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Integration and dynamic inversion of population balance equations with size-dependent growth rate

Chemical Engineering Science ◽

10.1016/j.ces.2011.02.006 ◽

2011 ◽

Vol 66 (17) ◽

pp. 3711-3720 ◽

Author(s):

N. Bajcinca ◽

S. Qamar ◽

D. Flockerzi ◽

K. Sundmacher

Keyword(s):

Growth Rate ◽

Population Balance ◽

Dynamic Inversion ◽

Balance Equations ◽

Population Balance Equations ◽

Size Dependent ◽

Dependent Growth

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Extended method of moment for general population balance models including size dependent growth rate, aggregation and breakage kernels

Computers & Chemical Engineering ◽

10.1016/j.compchemeng.2013.04.017 ◽

2013 ◽

Vol 56 ◽

pp. 1-11 ◽

Author(s):

Akinola Falola ◽

Antonia Borissova ◽

Xue Zhong Wang

Keyword(s):

Growth Rate ◽

General Population ◽

Population Balance ◽

Method Of Moment ◽

Size Dependent ◽

Dependent Growth

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Mathematical behavior of the population balance of a MSMPRC with agglomeration, feed and size-dependent growth rate

Computers & Chemical Engineering ◽

10.1016/0098-1354(94)e0010-k ◽

1994 ◽

Vol 18 (10) ◽

pp. 899-907 ◽

Author(s):

H.W. Lee ◽

E.G. Saleeby

Keyword(s):

Growth Rate ◽

Population Balance ◽

Size Dependent ◽

Dependent Growth ◽

Mathematical Behavior

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Digital Design of the Crystallization of an Active Pharmaceutical Ingredient Using a Population Balance Model with a Novel Size Dependent Growth Rate Expression. From Development of a Digital Twin to In Silico Optimization and Experimental Validation

Crystal Growth & Design ◽

10.1021/acs.cgd.1c01108 ◽

2021 ◽

Author(s):

Botond Szilágyi ◽

Ayşe Eren ◽

Justin L. Quon ◽

Charles D. Papageorgiou ◽

Zoltán K. Nagy

Keyword(s):

Growth Rate ◽

In Silico ◽

Experimental Validation ◽

Population Balance ◽

Active Pharmaceutical Ingredient ◽

Digital Design ◽

Balance Model ◽

Population Balance Model ◽

Size Dependent ◽

Dependent Growth

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Numerical and Similarity Solutions for Reversible Population Balance Equations with Size-Dependent Rates

Journal of Colloid and Interface Science ◽

10.1006/jcis.2001.8073 ◽

2002 ◽

Vol 246 (2) ◽

pp. 356-365 ◽

Author(s):

Giridhar Madras ◽

Benjamin J. McCoy

Keyword(s):

Population Balance ◽

Similarity Solutions ◽

Balance Equations ◽

Population Balance Equations ◽

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Numerical simulation and convergence analysis of a finite volume scheme for solving general breakage population balance equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2012.10.098 ◽

2013 ◽

Vol 219 (10) ◽

pp. 5140-5151 ◽

Author(s):

Rajesh Kumar ◽

Jitendra Kumar

Keyword(s):

Numerical Simulation ◽

Convergence Analysis ◽

Finite Volume ◽

Population Balance ◽

Finite Volume Scheme ◽

Balance Equations ◽

Population Balance Equations ◽

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Convergence analysis of sectional methods for solving breakage population balance equations-II: the cell average technique

Numerische Mathematik ◽

10.1007/s00211-008-0173-7 ◽

2008 ◽

Vol 110 (4) ◽

pp. 539-559 ◽

Author(s):

Jitendra Kumar ◽

Gerald Warnecke

Keyword(s):

Convergence Analysis ◽

Population Balance ◽

Balance Equations ◽

Average Technique ◽

Population Balance Equations ◽

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Adjustable discretized population balance equations: Numerical simulation and parameter estimation for fractal aggregation and break-up

Colloids and Surfaces A Physicochemical and Engineering Aspects ◽

10.1016/j.colsurfa.2006.06.020 ◽

2007 ◽

Vol 292 (2-3) ◽

pp. 173-188 ◽

Author(s):

Jinwook Kim ◽

Timothy A. Kramer

Keyword(s):

Numerical Simulation ◽

Parameter Estimation ◽

Population Balance ◽

Balance Equations ◽

Population Balance Equations ◽

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A volume conserving discrete formulation of aggregation population balance equations on non-uniform meshes

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2015.05.008 ◽

2015 ◽

Vol 48 (1) ◽

pp. 192-197 ◽

Author(s):

Mehakpreet Singh ◽

Jitendra Kumar ◽

Andreas Bück

Keyword(s):

Population Balance ◽

Balance Equations ◽

Population Balance Equations ◽

Discrete Formulation

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TRANSIENT ANALYSIS OF CRYSTALLIZATION: EFFECT OF THE SIZE DEPENDENT GROWTH RATE

Chemical Engineering Communications ◽

10.1080/00986448708911935 ◽

1987 ◽

Vol 56 (1-6) ◽

pp. 19-40 ◽

Author(s):

J.P. HSU ◽

L.T. FAN

Keyword(s):

Growth Rate ◽

Transient Analysis ◽

Size Dependent ◽

Crystallization Effect ◽

Dependent Growth

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