Numerical study of a stochastic particle algorithm solving a multidimensional population balance model for high shear granulation

被引:29
作者
Braumann, Andreas [1 ]
Kraft, Markus [1 ]
Wagner, Wolfgang [2 ]
机构
[1] Univ Cambridge, Dept Chem Engn & Biotechnol, Cambridge CB2 3RA, England
[2] Weierstrass Inst Appl Anal & Stochast, D-10117 Berlin, Germany
基金
英国工程与自然科学研究理事会;
关键词
Granulation; Population balance; Direct Simulation Monte Carlo; MONTE-CARLO-SIMULATION; WET GRANULATION; AGGREGATION; COAGULATION; EQUATIONS; DYNAMICS; KINETICS; BEHAVIOR; GROWTH;
D O I
10.1016/j.jcp.2010.06.021
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
This paper is concerned with computational aspects of a multidimensional population balance model of a wet granulation process. Wet granulation is a manufacturing method to form composite particles, granules, from small particles and binders. A detailed numerical study of a stochastic particle algorithm for the solution of a five-dimensional population balance model for wet granulation is presented. Each particle consists of two types of solids (containing pores) and of external and internal liquid (located in the pores). Several transformations of particles are considered, including coalescence, compaction and breakage. A convergence study is performed with respect to the parameter that determines the number of numerical particles. Averaged properties of the system are computed. In addition, the ensemble is subdivided into practically relevant size classes and analysed with respect to the amount of mass and the particle porosity in each class. These results illustrate the importance of the multidimensional approach. Finally, the kinetic equation corresponding to the stochastic model is discussed. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码:7672 / 7691
页数:20
相关论文
共 41 条
[1]   POPULATION BALANCE MODELING OF DRUM GRANULATION OF MATERIALS WITH WIDE SIZE DISTRIBUTION [J].
ADETAYO, AA ;
LITSTER, JD ;
PRATSINIS, SE ;
ENNIS, BJ .
POWDER TECHNOLOGY, 1995, 82 (01) :37-49
[2]   MONTE-CARLO SIMULATION OF PARTICLE COAGULATION AND SINTERING [J].
AKHTAR, MK ;
LIPSCOMB, GG ;
PRATSINIS, SE .
AEROSOL SCIENCE AND TECHNOLOGY, 1994, 21 (01) :83-93
[3]  
Balliu N.E., 2004, Dev. Chem. Eng. Min. Proc, V12, P277
[4]   Modelling and validation of granulation with heterogeneous binder dispersion and chemical reaction [J].
Braumann, Andreas ;
Goodson, Mike J. ;
Kraft, Markus ;
Mort, Paul R. .
CHEMICAL ENGINEERING SCIENCE, 2007, 62 (17) :4717-4728
[5]   Parameter estimation in a multidimensional granulation model [J].
Braumann, Andreas ;
Kraft, Markus ;
Mort, Paul R. .
POWDER TECHNOLOGY, 2010, 197 (03) :196-210
[6]   A volume-based multi-dimensional population balance approach for modelling high shear granulation [J].
Darelius, A ;
Brage, H ;
Rasmuson, A ;
Björn, IN ;
Folestad, S .
CHEMICAL ENGINEERING SCIENCE, 2006, 61 (08) :2482-2493
[7]   A stochastic approach for the numerical simulation of the general dynamics equation for aerosols [J].
Debry, E ;
Sportisse, B ;
Jourdain, B .
JOURNAL OF COMPUTATIONAL PHYSICS, 2003, 184 (02) :649-669
[8]  
Eibeck A, 2003, ANN APPL PROBAB, V13, P845
[9]   A MICROLEVEL-BASED CHARACTERIZATION OF GRANULATION PHENOMENA [J].
ENNIS, BJ ;
TARDOS, G ;
PFEFFER, R .
POWDER TECHNOLOGY, 1991, 65 (1-3) :257-272
[10]   Analysis of the multidimensional behavior of granulation [J].
Gantt, Justin A. ;
Palathra, Thomas ;
Gatzke, Edward P. .
JOURNAL OF MATERIALS PROCESSING TECHNOLOGY, 2007, 183 (01) :140-147