Nonlinear dynamics of continuous precipitation reactors: A model based analysis

Chemical Engineering Science

Volumn 62, Issue 18-20, 2007, Pages 4896-4902

  Heineken, Wolfram ^a   Flockerzi, Dietrich ^a   Steyer, Christiane ^b   Voigt, Andreas ^b   Sundmacher, Kai ^a,b  

^a MAX PLANCK INSTITUTE FOR DYNAMICS OF COMPLEX TECHNICAL SYSTEMS   (Germany)

^b OTTO VON GUERICKE UNIVERSITY   (Germany)

Author keywords

Dynamic simulation; Model reduction; Particulate processes; Population balance; Precipitation; Stability analysis

Indexed keywords

CRYSTAL SIZE; EQUILIBRIUM SOLUTIONS; POPULATION BALANCE EQUATION; STABILITY ANALYSIS; UNSTABLE EQUILIBRIUM;

COMPUTER SIMULATION; DYNAMICS; EIGENVALUES AND EIGENFUNCTIONS; INTEGRODIFFERENTIAL EQUATIONS; NUMERICAL METHODS; PRECIPITATION (CHEMICAL); STOICHIOMETRY;

CHEMICAL REACTORS;

CHEMICAL REACTORS; COMPUTER SIMULATION; DYNAMICS; EIGENVALUES AND EIGENFUNCTIONS; INTEGRODIFFERENTIAL EQUATIONS; NUMERICAL METHODS; PRECIPITATION (CHEMICAL); STOICHIOMETRY;

EID: 34547929425     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ces.2006.12.084     Document Type: Article

References (18)

1. 4 nanoparticles in a non-ionic microemulsion: identification of suitable control parameters. Chemical Engineering Science 60 (2005) 3373-3381
2. Angerhöfer, M., 1994. Untersuchungen zur Kinetik der Fällungskristallisation von Bariumsulfat. Ph.D. Thesis, Technical University Munich.
3. Aoun M., Plasari E., David R., and Villermaux J. A simultaneous determination of nucleation and growth rates from batch spontaneous precipitation. Chemical Engineering Science 54 (1999) 1161-1180
4. Bałdyga J., and Orciuch W. Barium sulphate precipitation in a pipe-an experimental study and CFD modelling. Chemical Engineering Science 56 (2001) 2435-2444
5. Evans L.C. Partial Differential Equations (1998), American Mathematical Society, Providence
6. Gerstlauer A., Gahn C., Zhou H., Rauls M., and Schreiber M. Application of population balances in the chemical industry-current status and future needs. Chemical Engineering Science 61 (2006) 205-217
7. Hairer E., Nørsett S.P., and Wanner G. Solving Ordinary Differential Equations I. Nonstiff Problems (1993), Springer, Berlin
8. Nielsen A.E., and Toft J.M. Electrolyte crystal growth kinetics. Journal of Crystal Growth 67/2 (1984) 278-288
9. Öncül A.A., Sundmacher K., and Thévenin D. Numerical investigation of the influence of the activity coefficient on barium sulphate crystallization. Chemical Engineering Science 60 (2005) 5395-5405
10. Öncül A.A., Sundmacher K., Seidel-Morgenstern A., and Thévenin D. Numerical and analytical investigation of barium sulphate crystallization. Chemical Engineering Science 61/2 (2006) 652-664
11. Pohorecki R., and Bałdyga J. The effects of micromixing and the manner of reactor feeding on precipitation in stirred tank reactors. Chemical Engineering Science 43/8 (1988) 1949-1954
12. Puel F., Févotte G., and Klein J.P. Simulation and analysis of industrial crystallization processes through multidimensional population balance equations. Part 1: a resolution algorithm based on the method of classes. Chemical Engineering Science 58 (2003) 3715-3727
13. Ramkrishna D. Population Balances. Theory and Applications to Particulate Systems in Engineering (2000), Academic Press, San Diego
14. Schenk R., Hessel V., Hofmann C., Löwe H., and Schönfeld F. Novel liquid-flow splitting unit specifically made for numbering-up of liquid/liquid chemical microprocessing. Chemical Engineering and Technology 26/12 (2003) 1271-1280
15. Schwarzer H.-C., and Peukert W. Combined experimental/numerical study on the precipitation of nanoparticles. American Institute of Chemical Engineers Journal 50/12 (2004) 3234-3247
16. Schwarzer H.-C., Schwertfirm F., Manhart M., Schmid H.-J., and Peukert W. Predictive simulation of nanoparticle precipitation based on the population balance equation. Chemical Engineering Science 61/1 (2006) 167-181
17. Shampine L.F., and Reichelt M.W. The Matlab ODE Suite. SIAM Journal of Scientific Computing 18/1 (1997) 1-22
18. Yin Q., Song Y., and Wang J. Analyses of Stability and Dynamic Patterns of a Continuous Crystallizer with a Size-Dependent Crystal Growth Rate. Industrial and Engineering Chemical Research 42 (2003) 630-635