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Original Articles

ANALYSIS OF THE MULTIPLICITY PATTERNS OF A CSTR

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Pages 111-132 | Received 02 Jun 1981, Accepted 27 Aug 1981, Published online: 24 Oct 2007

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Junli Liu & Stephen K. Scott. (1993) Multistability, oscillations and chaos in an exothermic branched-chain reaction model. Dynamics and Stability of Systems 8:4, pages 273-287.
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R. RAVI & C.G. TAKOUDIS. (1989) BIFURCATIONS DUE TO AN AUTO-CATALYTIC REACTION IN A CSTR. Chemical Engineering Communications 79:1, pages 65-83.
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M. MATSUBARA, N. WATANABE & K. SHIMIZU. (1989) Multiplicity domain in the control-parameter space of a CSTR. International Journal of Systems Science 20:2, pages 339-362.
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IPOKRATIS POLIZOPOULOS & CHRISTOSG. TAKOUDIS. (1987) SINGULARITY THEORY AND THE DYNAMICS OF LUMPED-PARAMETER SYSTEMS: THE CASE OF A SINGLE SURFACE SPECIES CATALYTIC REACTION. Chemical Engineering Communications 58:1-6, pages 377-395.
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VEMURI BALAKOTAIAH & DAN LUSS. (1985) INPUT-MULTIPLICITY IN LUMPED-PARAMETER SYSTEMS. Chemical Engineering Communications 39:1-6, pages 309-322.
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VEMURI BALAKOTAIAH & DAN LUSS. (1982) ANALYSIS OF THE MULTIPLICITY PATTERNS OF A CSTR. Chemical Engineering Communications 19:1-3, pages 185-189.
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Keming Ma, Héctor Valdés-González & I. David L. Bogle. (2010) Process design in SISO systems with input multiplicity using bifurcation analysis and optimisation. Journal of Process Control 20:3, pages 241-247.
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Said S.E.H. Elnashaie & John R. Grace. (2007) Complexity, bifurcation and chaos in natural and man-made lumped and distributed systems. Chemical Engineering Science 62:13, pages 3295-3325.
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K.I. Alhumaizi & A.E. Abasaeed. (2000) On mutating autocatalytic reactions in a CSTR. I: multiplicity of steady states. Chemical Engineering Science 55:18, pages 3919-3928.
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Rutherford Aris. (1999) On some dynamical diagrams of chemical reaction engineering. Chaos: An Interdisciplinary Journal of Nonlinear Science 9:1, pages 3-12.
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W.W. Farr & R. Aris. 1999. Mathematical Modeling - A Chemical Engineer's Perspective. Mathematical Modeling - A Chemical Engineer's Perspective 252 281 .
M. Ratto. (1998) A theoretical approach to the analysis of PI-controlled CSTRs with noise. Computers & Chemical Engineering 22:11, pages 1581-1593.
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Ayşegül Batigün, Kenneth R. Harris & Ahmet Palazoğlu. (1997) Studies on the analysis of nonlinear processes via functional expansions—I. Solution of nonlinear ODEs. Chemical Engineering Science 52:18, pages 3183-3195.
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A. Ajbar & I. Gamal. (1997) Stability and bifurcation of an unstructured model of a bioreactor with cell recycle. Mathematical and Computer Modelling 25:2, pages 31-48.
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Chien-Chong Chen, Chun-Chong Fu & Chong-Hung Tsai. (1996) Stabilized chaotic dynamics of coupled nonisothermal CSTRs. Chemical Engineering Science 51:23, pages 5159-5169.
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Vemuri Balakotaiah, Dušan Kodra & Duyen Nguyen. (1995) Runaway limits for homogeneous and catalytic reactors. Chemical Engineering Science 50:7, pages 1149-1171.
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Phani B. Sistu & B.Wayne Bequette. (1995) Model predictive control of processes with input multiplicities. Chemical Engineering Science 50:6, pages 921-936.
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Louis P. Russo & B. Wayne Bequette. (2004) Impact of process design on the multiplicity behavior of a jacketed exothermic CSTR. AIChE Journal 41:1, pages 135-147.
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S.S.E.H. Elnashaie & M.E. Abashar. (1994) Chaotic behaviour of periodically forced fluidized-bed catalytic reactors with consecutive exothermic chemical reactions. Chemical Engineering Science 49:15, pages 2483-2498.
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Susan A. Baldwin & Diran Basmadjian. (1994) A mathematical model of thrombin production in blood coagulation, Part I: The sparsely covered membrane case. Annals of Biomedical Engineering 22:4, pages 357-370.
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A. C. Kokossis & C. A. Floudas. (2004) Stability in optimal design: Synthesis of complex reactor networks. AIChE Journal 40:5, pages 849-861.
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S.S.E.H. Elnashaie & S.S. Elshishini. (1993) Comparison between different mathematical models for the simulation of Industrial Fluid Catalytic Cracking (FCC) units. Mathematical and Computer Modelling 18:6, pages 91-110.
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L.P. Russo & B.W. Bequette. 1993. Dynamics and Control of Chemical Reactors, Distillation Columns and Batch Processes. Dynamics and Control of Chemical Reactors, Distillation Columns and Batch Processes 149 154 .
V. Balakotaiah & D. Kodra. 1993. Dynamics and Control of Chemical Reactors, Distillation Columns and Batch Processes. Dynamics and Control of Chemical Reactors, Distillation Columns and Batch Processes 1 10 .
S.S. Elnashaie, M.E. Abashar & F.A. Teymour. (1993) Bifurcation, instability and chaos in fluidized bed catalytic reactors with consecutive exothermic chemical reactions. Chaos, Solitons & Fractals 3:1, pages 1-33.
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L.P. Russo & B.W. Bequette. (1992) CSTR Performance Limitations Due to Cooling Jacket Dynamics. IFAC Proceedings Volumes 25:5, pages 149-154.
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V. Balakotaiah & D. Kodra. (1992) Stability Criteria for Chemical Reactors. IFAC Proceedings Volumes 25:5, pages 1-10.
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Martha E. Garske & Michael P. Harold. (1992) Observed kinetics of an exothermic reaction on a temperature-controlled catalytic wire. Chemical Engineering Science 47:3, pages 623-644.
Crossref
S.S.E.H. Elnashaie, K.M. Wagialla & A.M. Helal. (1991) The use of mathematical and computer models to explore the applicability of fluidized bed technology for highly exothermic catalytic reactions: II-oxidative dehydrogenation of ethylbenzene to styrene. Mathematical and Computer Modelling 15:7, pages 43-54.
Crossref
D.L. Baulch, J.F. Griffiths & R. Richter. (1991) Measurements of reactant temperature and free-radical concentrations during the oscillatory combustion of hydrogen and carbon monoxide in a CSTR. Chemical Engineering Science 46:9, pages 2315-2322.
Crossref
Raymond A. Adomaitis & Ali Çinar. (1991) Numerical singularity analysis. Chemical Engineering Science 46:4, pages 1055-1062.
Crossref
J. L. Hudson. 1991. Patterns and Dynamics in Reactive Media. Patterns and Dynamics in Reactive Media 89 100 .
Sadhan C. Jana & Santosh K. Gupta. (2003) Irreversible step growth polymerization having segmental diffusion limitations in HCSTRs—simulation and steady state multiplicity. Journal of Applied Polymer Science 38:6, pages 979-995.
Crossref
S.R. Kay, S.K. Scott & A.S. Tomlin. (1989) Quadratic autocatalysis in a non-isothermal CSTR. Chemical Engineering Science 44:5, pages 1129-1137.
Crossref
A.K. Adebekun, K.M. Kwalik & F.J. Schork. (1989) Steady-state multiplicity during solution polymerization of methyl methacrylate in a CSTR. Chemical Engineering Science 44:10, pages 2269-2281.
Crossref
Kevin Brooks, Vemuri Balakotaiah & Dan Luss. (2004) Effect of natural convection on spontaneous combustion of coal stockpiles. AIChE Journal 34:3, pages 353-365.
Crossref
Raymond A. Adomaitis & Ali Çinar. (1988) The bifurcation behavior of an autothermal packed bed tubular reactor. Chemical Engineering Science 43:4, pages 887-898.
Crossref
J. P. Lee, V. Balakotaiah & Dan Luss. (2004) Thermoflow multiplicity in a packed‐bed reactor Part I: Adiabatic case. AIChE Journal 33:7, pages 1136-1154.
Crossref
D.G Retzloff, P.C-H Chan, R Mohamed, D Offin & C Chicone. (1987) Maximal multiplicity of the critical points of the CR equation modeling a constant flow stirred tank reactor. Journal of Mathematical Analysis and Applications 124:2, pages 327-338.
Crossref
. (1997) On the steady-state behaviour of the autocatalator model A + 2B⇌3B, B⇌C in a continuous-flow stirred-tank reactor. Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences 411:1840, pages 193-206.
Crossref
Luis F. Razón & Roger A. Schmitz. (1987) Multiplicities and instabilities in chemically reacting systems — a review. Chemical Engineering Science 42:5, pages 1005-1047.
Crossref
K. Y. Choi. (2004) Analysis of steady state of free radical solution polymerization in a continuous stirred tank reactor. Polymer Engineering & Science 26:14, pages 975-981.
Crossref
. (1997) The application of singularity theory to isothermal autocatalytic open systems: the elementary scheme A + m B = ( m + 1)B . Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences 403:1825, pages 341-363.
Crossref
Ipokratis Polizopoulos & Christos G. Takoudis. (1986) On the steady state solutions of chemically reacting systems-I. Applications to single species surface reactions. Chemical Engineering Science 41:5, pages 1221-1232.
Crossref
R.M. Chemburkar, M. Morbidelli & A. Varma. (1986) Parametric sensitivity of a CSTR. Chemical Engineering Science 41:6, pages 1647-1654.
Crossref
W.W. Farr & R. Aris. (1986) “Yet who would have thought the old man to have had so much blood in him?”—Reflections on the multiplicity of steady states of the stirred tank reactor. Chemical Engineering Science 41:6, pages 1385-1402.
Crossref
John F. Griffiths. 1986. Advances in Chemical Physics. Advances in Chemical Physics 203 304 .
Michael P. Harold & Dan Luss. (1985) An experimental study of steady-state multiplicity features of two parallel catalytic reactions. Chemical Engineering Science 40:1, pages 39-52.
Crossref
Kevin Knob, Xenophon E. Verykios & Mohan Kelkar. (1985) Criterion for the existence of multiple steady states in three-phase continuous stirred tank reactors. Chemical Engineering Science 40:4, pages 677-679.
Crossref
T.H. Lindstrom & T.T. Tsotsis. (1984) Experimental observations of isolated surface steady-state branches. Surface Science Letters 146:1, pages L569-L575.
Crossref
T.H. Lindstrom & T.T. Tsotsis. (1984) Experimental observations of isolated surface steady-state branches. Surface Science 146:1, pages L569-L575.
Crossref
P. Gray & S.K. Scott. (1984) Autocatalytic reactions in the isothermal, continuous stirred tank reactor. Chemical Engineering Science 39:6, pages 1087-1097.
Crossref
Vemuri Balakotaiah & Dan Luss. (1984) Global analysis of the multiplicity features of multi-reaction lumped-parameter systems. Chemical Engineering Science 39:5, pages 865-881.
Crossref
D.V. Jorgensen, W.W. Farr & R. Aris. (1984) More on the dynamics of a stirred tank with consecutive reactions. Chemical Engineering Science 39:12, pages 1741-1752.
Crossref
Peter Gray. (2010) Ignition and Thermal Stability in Open Systems. Berichte der Bunsengesellschaft für physikalische Chemie 87:11, pages 984-989.
Crossref
Vemuri Balakotaiah & Dan Luss. (1983) Multiplicity features of reacting systems. Chemical Engineering Science 38:10, pages 1709-1721.
Crossref
Vemuri Balakotaiah & Dan Luss. (1982) Structure of the steady-state solutions of lumped-parameter chemically reacting systems. Chemical Engineering Science 37:11, pages 1611-1623.
Crossref

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