Stability analysis in polymerization reactor systems

Shastry, J. S.; Fan, Liang‐Shih

doi:10.1016/0300-9467(73)80028-0

Cited by 8 publications

(3 citation statements)

References 16 publications

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“…Shinnar and Noar (1967) have showed that a I anks-in-series model represents fairly well the behavior of a nonideal flow polymerization reactor, especially its flow patterns. In this example a polymerization reactor was modeled as two CSTR's in series with backflow as shown in Figure 3 (see Shastry and Fan, 1973). For a f ree-radical polymerization, the following mechanism was considered (Bamsford, Barb, Jenkins, and Onyon, 1958) : directly to the initial partia T daerential equations, describ- The subscripts 1 and 2 refer to reactors 1 and 2, respectively.…”

Section: Example 2: Stability Analysis Of Nonideal Flow Polymerizatiomentioning

confidence: 99%

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Process design in a dynamic environment: Part I. A decomposition technique to study the stability of chemical engineering systems

Stephanopoulos

Schuelke

1976

AIChE Journal

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Section: Example 2: Stability Analysis Of Nonideal Flow Polymerizatiomentioning

confidence: 99%

“…In Table 3 given (Shastry and Fan, 1973). For set 1 there exists only one steady state, while for set 2 there are three steady states.…”

Section: ~2 ;mentioning

confidence: 99%

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Process design in a dynamic environment: Part I. A decomposition technique to study the stability of chemical engineering systems

Stephanopoulos

Schuelke

1976

AIChE Journal

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Diffusion‐controlled kinetics for the solution copolymerization of 2‐ethylhexyl acrylate with vinyl chloroacetate in a CSTR

Das¹,

Rodriguez²

1990

J of Applied Polymer Sci

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SynopsisThe solution copolymerization of the comonomer pair 2-ethylhexyl acrylate-vinyl chloroacetate (in ethyl acetate) has been studied in a continuous stirred tank reactor (CSTR). The initiator used in this study, 2,2'-azobis-2,4-dimethyl valeronitrile was selected on the basis of its high decomposition rate constant. Measurements included the rate of copolymerization, the copolymer composition by infrared spectrophotometric analysis, the molecular weight distribution by gel permeation chromatography, and the viscosity of the reaction mixture by capillary viscometry. The reactivity ratios for the EHA-VCLAC pair were markedly different so that both propagating chains preferentially add EHA. Both the + factor and the penultimate effect models were inadequate for describing the termination reaction. By defining an appropriate expression, based on physicochemical considerations, for the overall termination rate constant, it was possible to model the steady state rates by the diffusion model of Atherton and North. An attempt to model the transient behavior of the reactor by using the + value as an adaptable correction factor was unsuccessful due to the rapid composition drift during approach to steady state. The measured conversions were lower than the model predictions for all feed ratios.

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Analysis of an LDPE compact autoclave reactor by two‐cell model with backflow

Lee

Ham

Rhee

et al. 1999

Polymer Engineering & Sci

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A two-cell model with backflow and heat exchange is developed to analyze the dynamics of an LDPE compact autoclave reactor. The backflow exists between the two mixing cells and represents the degree of mixing within the reactor. The performance of the reactor and the physical properties of the product polymer such as the number average molecular weight and the polydispersity are investigated under various operating conditions, especially when the initiator feed concentration is varied. Bifurcation diagrams are constructed by taking the initiator feed concentration as the bifurcation parameter and the dynamic feature in the feasible parameter ranges for operation are carefully examined. Indeed, various dynamic characteristics are observed by performing numerical analysis of the nonadiabatic system with the internal cooling device. As the rate of heat transfer increases. various multiplicity patterns and oscillatory behavior such as the limit cycle and the focus are found. The reactor behavior even undergoes period doubling and gradually gives rise to a chaotic behavior in certain ranges of the initiator feed concentration when the coolant temperature becomes low. The existence of chaos is examined by the phase plane plot and Poincare map. Apparently, the monomer concentration can be substantially increased with proper heat removal and initiator supplement scheme. For this, however, the complex dynamic features must be taken into account in the reactor design.

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Stability analysis in polymerization reactor systems

Cited by 8 publications

References 16 publications

Process design in a dynamic environment: Part I. A decomposition technique to study the stability of chemical engineering systems

Process design in a dynamic environment: Part I. A decomposition technique to study the stability of chemical engineering systems

Diffusion‐controlled kinetics for the solution copolymerization of 2‐ethylhexyl acrylate with vinyl chloroacetate in a CSTR

Analysis of an LDPE compact autoclave reactor by two‐cell model with backflow

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