Use of bifurcation analysis for identification of a safe CSTR operability

Molnár, A.; Krajčiová, M; Markoš, Jozef; Jelemenský, Ľudovít

doi:10.1016/j.jlp.2004.08.008

Cited by 5 publications

(2 citation statements)

References 7 publications

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“…One pivotal concern in assessing the safety of a chemical reactor pertains to the identification of scenarios that could lead to undesirable reactor behaviour. A strategy to address this issue involves the identification of multiple stable states and the utilization of this information to devise an effective reactor control strategy [21]. The classical procedure for CSTR, as developed by [22], involves a homogeneous exothermic first-order reaction that occurs in a continuously fed reactor with efficient stirring.…”

Section: Introductionmentioning

confidence: 99%

Exploring the Dynamics of Simple Inhibition Systems in Continuous Stirred-Tank Reactor: Mathematical Modelling and Bifurcation Analysis

Md Desa,

Mohd,

Uzir

2023

Mal. J. Fund. Appl. Sci.

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The simple enzyme inhibition systems consist of competitive inhibition, noncompetitive inhibition and uncompetitive inhibition. In this work, we incorporated these simple inhibition systems in the continuous stirred-tank reactor (CSTR) and analysed the models using some techniques from dynamical systems and bifurcation analysis. Our aim is to investigate the behaviours of such systems and compare their overall dynamics. The phase portrait is constructed to simulate possible behaviours such as stable steady states, stable limit cycle, bistability between the steady state and the stable limit cycle and bistability between two steady states. The systems undergo bifurcational changes in dynamics as enzyme concentration, dilution rate and proportional control constant are varied. Moreover, we conducted a codimension two bifurcation analysis to examine the joint effects of dilution rate and proportional control constant on the systems behaviours. Our results revealed distinct dynamics for each inhibition system. Increasing the dilution rate led to a transition from low to high substrate concentrations, with competitive inhibition showing the highest tipping (or bifurcation) point where dynamical regimes change due to intense substrate-inhibitor competition. Elevating enzyme concentration reduced substrate concentration, particularly in non-competitive inhibition systems due to higher conversion rates. Furthermore, the proportional control constant had varying effects depending on the specific inhibition system. These findings emphasize the on the combined influences of distinct chemical procoesses in controlling reactor heat and optimizing bioprocess efficiency, considering the unique characteristics of each inhibition system. Overall, the dynamical study on these simple inhibition systems enables us to improve our understanding on the chemical processes involving enzymes with multiple types of inhibitors and may give some insights in its controlling process.

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Section: Introductionmentioning

confidence: 99%

Exploring the Dynamics of Simple Inhibition Systems in Continuous Stirred-Tank Reactor: Mathematical Modelling and Bifurcation Analysis

Md Desa,

Mohd,

Uzir

2023

Mal. J. Fund. Appl. Sci.

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“…Recent studies (Pellegrini and Biardi, 1990;Perez and Albertos, 2004;Molnár et al, 2004) have also underlined the importance of a complete characterization of the thermal behavior of a CST system: particularly, they have developed and analyzed (using bifurcation theory) dynamical https://doi.org/10.1016/j.jlp.2018.07.003 models for a controlled CSTR, identifying clearly runaway boundaries (testing both steady and unsteady state operating conditions).…”

Section: Introductionmentioning

confidence: 99%

Safe optimization of potentially runaway reactions: From fedbatch to continuous stirred tank type reactor

Copelli

Barozzi

Maestri

et al. 2018

Journal of Loss Prevention in the Process Industries

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A great variety of processes of both fine chemical and pharmaceutical industries are commonly carried out in semibatch reactors (SBRs). Most of such synthesises often involve strongly exothermic and very fast reactions where the control of the heat evolution is achieved thanks to the combined effect of a dedicated cooling system and the feeding of a "cold" (mostly, ambient temperature) co-reactant. For these types of process, the well known phenomenon of "thermal runaway" can take place. Accordingly to the ever increasing market requests, the desired goal of whatever enterprise is to increase the productivity of a certain product being sure of maintaining safe operating conditions during all the synthesis steps. This is a very hard task which can be performed by changing the reactor operating mode from semibatch to continuous. A continuous reactor can achieve the same productivity of a discontinuous reactor using significantly lower reaction volumes; this means that the intrinsic safety of the process is increased. In this work, the switch from a semibatch reactor to a series of continuous stirred tank reactors has been investigated using as a case study the nitration of N-(2-Phenoxyphenyl) methane sulphonamide. Particularly, after the determination of the most effective number of reactors in the series and their effective volumes, dynamical simulations have been carried out in order to guarantee that possible thermal instabilities are not generated during the synthesis in both the start up and the normal exercise phases.

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