Abstract
Numerical bifurcation analysis and continuation methods are proposed for the investigation of chemical reactors. An algorithm for the continuation of periodic solutions of large systems is presented. Steady state and periodic continuation are applied to the circulation loop reactor, which makes use of travelling reaction zones for autothermal operation and serves as an example for unsteady state operation of a chemical process.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Lauschke, G. und Gilles, E.: Circulating reaction zones in a packed-bed loop reactor. Chemical Engineering Science 49 (1994), S. 5359–53T5.
Kienle, A., Lauschke, G., Gehrke, V., und Gilles, E.: On the dynamics of the circulation loop reactor — numerical methods and analysis. Chemical Engineering Science 50 (1995), S. 2361–2375.
Doedel, E.:. Auto: Software for continuation and bifurcation problems in ordinary differential equations, 1986.
Helget, A., Groebel, M., und Gilles, E. D.: Dynamic simulation for plant and control system design. Proc. 5TH International Symposium on Process System Engineering, PSE’94, Kyongju, Korea 1994, S. 1111–1116.
Perko, L.: Differential Equations and Dynamical Systems. Springer, New York, 1991.
M. Caracotsios, W. E. S.: Sensitivity analysis of initial value problems with mixed odes and algebraic equations. Comp. Chem. Engng. 9 (1985), S. 359–365.
Seydel, R.:Numerical computation of periodic orbits that bifurcate from stationary solutions of ordinary differential equations. Appl. Math. Comp. 9 (1981), S. 257–271.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1996 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Mangold, M., Gilles, E.D. (1996). Analysis of Unsteady State Chemical Reactors by Continuation Methods. In: Keil, F., Mackens, W., Voß, H., Werther, J. (eds) Scientific Computing in Chemical Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-80149-5_17
Download citation
DOI: https://doi.org/10.1007/978-3-642-80149-5_17
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-80151-8
Online ISBN: 978-3-642-80149-5
eBook Packages: Springer Book Archive