A general criterion to define runaway limits in chemical reactors

Zaldı́var, J.M.; Cano, J.; Alós, M.A.; Sempere, J.; Nomen, R.; Lister, D. G.; Maschio, Giuseppe; Obertopp, T.; Gilles, E. D.; Bosch, Jordi; Strozzi, Fernanda

doi:10.1016/s0950-4230(03)00003-2

Cited by 100 publications

(81 citation statements)

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“…To analyze the variation of the temperature and its sensitivity, the model equations (4) and (5) and the sensitivity equations (18) and (19) along with the ICs (6) and (20) are solved together numerically using ODE15s (Gear method) of Matlab 7.1. Both the dependent variable h and the corresponding local sensitivity S(h,h 0 ) can be given as a function of time.…”

Section: Computation Of Local Sensitivity Coefficientmentioning

confidence: 99%

“…Then, considering the correlation between the state space volume and the divergence of the vector field, the divergence criterion was defined as the sum of the partial derivatives of the mass and energy balance equations with relation to the corresponding state variables [19]. The divergence criterion was then validated for single as well as for multiple reaction types (single, consecutive, parallel, equilibrium), for several types of reactors (batch reactor, semibatch reactor, continuous stirred tank reactor), and for different types of operating conditions (isoperibolic and isothermal) [20]. In subsequent articles [21,22], the most advanced technique has been concentrated on the early detection of runaway conditions based on a reconstruction of the phase space using only one state variable (temperature or pressure).…”

Section: Introductionmentioning

confidence: 99%

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Investigation on Thermal Runaway in Batch Reactors by Parametric Sensitivity Analysis

Jiang

Pan

Wang

et al. 2011

Chem. Eng. Technol.

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A batch system is an inherently parametric sensitivity system where small changes of input parameters can induce large changes of output variables. In the present work, temperature and temperature sensitivity with respect to the initial temperature were investigated by parametric sensitivity analysis using a dimensionless batch reactor model. The influence of the Semenov number, the heat of reaction parameter and the Arrhenius-type number on reactor temperature and temperature sensitivity were studied. It is demonstrated that batch reactors can exhibit high sensitivity when small changes in input parameters lead to large changes in temperature and temperature sensitivity trajectories. A criterion is established for thermal runaway by analyzing temperature sensitivity trajectories and applied to some experimental examples. This criterion allows runaway and safe conditions to be identified, the results being in agreement with the experimental data. The proposed criterion can satisfactorily predict the safety limits of the operating conditions.

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Section: Computation Of Local Sensitivity Coefficientmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Investigation on Thermal Runaway in Batch Reactors by Parametric Sensitivity Analysis

Jiang

Pan

Wang

et al. 2011

Chem. Eng. Technol.

View full text Add to dashboard Cite

show abstract

“…The mass and energy dimensionless balances (z, , w ) that describe the dynamic behaviour of a well-stirred controlled batch reactor (BR) in which the reaction: A B occurs can be written as [7]: …”

Section: Batch Reactorsmentioning

confidence: 99%

“…This configuration is typical of reaction calorimeters [16] and it has been used in pilot plant reactors [17]. In this case, it is possible to write [7]:…”

Section: Batch Reactorsmentioning

confidence: 99%

“…In this case, the reactor works close to batch conditions. In a series of previous works [5][6][7][8], a new criterion to delimit runaway boundaries was developed applying techniques from nonlinear dynamical systems theory to characterize the sensitivity of chemical reactors. The runaway detection criterion was defined as when the divergence of the reactor becomes positive on a segment of the reaction path, i.e.…”

Section: Introductionmentioning

confidence: 99%

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