General solution of the dispersion model for a one-dimensional stirred flow system using Danckwerts' boundary conditions

Chemical Engineering Science

Volumn 59, Issue 14, 2004, Pages 3013-3020

  Kudrna, Vladimír ^a   Jahoda, Milan ^a   Siyakatshana, Njabulo ^a   Čermáková, Jiřina ^a   Machoň, Václav ^a  

^a INSTITUTE OF CHEMICAL TECHNOLOGY   (Czech Republic)

Author keywords

Continuous flow mixer; Diffusion; Dispersion; Mixing; Numerical analysis; Residence time distribution

Indexed keywords

BOUNDARY CONDITIONS; CONCENTRATION (PROCESS); DIFFERENTIAL EQUATIONS; DISPERSIONS; MATHEMATICAL MODELS;

FLOW MIXER; INLET FLOW; TIME AND SPATIAL COORDINATES;

CHEMICAL ENGINEERING;

CONTINUOUS PROCESS; DISPERSION; FLUID FLOW; STIRRING;

EID: 3042537242     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ces.2004.01.068     Document Type: Article

References (11)

1. Abramowitz, M., Stegun, I.A., 1964. Handbook of Mathematical Functions. National Bureau of Standards, Government Printing Office, Washington, US (Chapter 7).
2. Brenner H. The diffusion model of longitudinal mixing in beds of finite length. Numerical values Chemical Engineering Science 17 1962 229-236
3. Carslaw H.S. Jaeger J.C. Conduction of Heat in Solids 2nd Edition 1959 Oxford University Press Oxford
4. Čermáková, J., Kudrna, V., Machoň, V., Siyakatshana, N., Jahoda M., 2002. Study of three-phase continuous stirred mixer. 15th Congress CHISA'02, Praha, Czech Republic, August 25-29, 2002.
5. Danckwerts P.V. Continuous flow systems; distribution of residence times Chemical Engineering Science 2 1953 2-11
6. Kamke, E., 1959. Differentialgleichungen, Vol. I. Geest - Portig Leipzig, Germany.
7. Korn G.A. Korn T.M. Mathematical Handbook for Scientists and Engineers 1968 McGraw-Hill New York
8. Martin A.D. Interpretation of residence time distribution data Chemical Engineering Science 55 2000 5907-5917
9. Shampine L.F. Allen R.C. Jr. Pruess S. Fundamentals of Numerical Computing 1997 Wiley New York
10. Siyakatshana, N., Kudrna, V., Machoň, V., Čermáková, J., 2002. Comparison of numerical and analytical solutions of the one-dimensional dispersion model. 15th Congress CHISA'02, Czech Republic, Praha, August 25-29, 2002.
11. Yagi S. Miyauchi T. On the residence time curves of the continuous reactors Chemical Engineering (Tokyo) 17 1953 382-386