The origins and limits of thermal steady-state multiplicity in the continuous stirred tank reactor

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 455, Issue 1981, 1999, Pages 141-161

  Ball, R ^a,b  

^a MACQUARIE UNIVERSITY   (Australia)

^b UNIVERSITY OF LEEDS   (United Kingdom)

Author keywords

Bifurcations; CSTR; Hysteresis; Limit point shell; Multiplicity; Singularity theory

Indexed keywords

EID: 0009518532     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.1999.0306     Document Type: Article

References (17)

1. Balakotaiah, V. & Luss, D. 1982 A novel method For determining the multiplicity features of multireaction systems. In Chemical reaction engineering: Boston (ed. J. Wei & C. Georgakis), ACS Symposium Series no. 196. Washington, DC: ACS.
2. Balakotaiah, V., Kodra, D. & Nguyen, D. 1995 Runaway limits for homogeneous and catalytic reactors. Chem. Engng Sei. 50, 1149-1171.
3. Ball, R. & Gray, B. F. 1995 Transient thermal behaviour of the hydration of 2,3-epoxy-l-propanol in a continuously stirred tank reactor. Ind. Engng Chem. Res. 34, 3726-3730.
4. Berezowski, M. & Burghardt, A. 1995 Exact uniqueness and multiplicity criteria for a first-order reversible reaction in a CSTR. Chem. Engng Sei. 50, 2189-2192.
5. Bilous, O. & Amundson, N. R. 1955 Chemical reactor stability and sensitivity. AIChE Jl 1, 513-21.
6. Chicone, C. & Retzloff, D. G. 1982 Dynamics of the CR equations modeling a constant flow stirred tank reactor. Nonlin. Analysis Theor. Afeth. Applic. 6, 373-377.
7. Furusawa, T., Nishimura, H. & Miyauchi, T. 1969 Experimental study of bistable continuous stirred-tank reactor. J. Chem. Engng Jap. 2, 95-100.
8. Golubitsky, M. & Keyfitz, 3. L. 1980 A qualitative study of the steady-state solutions for a continuous flow stirred tank chemical reactor. SIAM Jl Math. Analysis 11, 316-339.
9. Golubitsky, M. & Schaeffer, D. G. 1985 Singularities and groups in bifurcation theory, vol. 1. New York: Springer.
10. Gray, B. F. & Roberts, M. J. 1988 Analysis of chemical kinetic systems over the entire parameter space. I. The Sal'nikov thermokinetic oscillator. Proc. R. Soc. Land. A 416, 391-402.
11. Hlavacek, V., Kubfcek, M. & Jelinek, J. 1970 Modeling of chemical reactors. XVIII. Stability and oscillatory behaviour of the CSTR. Chem. Engng. Sei. 25, 1441-1461.
12. Ray, W. H. 1977 Bifurcation phenomena in chemically reacting systems. In Applications of bifurcation theory (ed. P. H. Rabinowitz), pp. 285-315. New York: Academic.
13. Razön, L. F. & Schmilz, R. A. 1987 Chem. Engng Sei. 42, 1005-1047.
14. Russo, L. P. & Bequette, B. W. 1995 Impact of process design on the multiplicity behaviour of a jacketed exothermic CSTR. AIChE Jl 41, 135-147.
15. Uppal, A., Ray, W. H. & Poore, A. B. 1974 On the dynamic behaviour of continuous stirred tank reactors. Chem. Engng Sei. 29, 967-85.
16. Vaganov, D. A., Samoilenko, N. G. & Abramov, V. G. 1978 Periodic regimes of continuous stirred tank reactors. Chem. Engng Sei. 33, 1133-40.
17. Van Heerden, C. 1958 The character of the stationary state of exothermic processes. Chem. Engng Sei. 8, 133-145.