Multiplicities and instabilities in chemically reacting systems — a review

Razón, Luis F.; Schmitz, R.A.

doi:10.1016/0009-2509(87)80055-6

Cited by 183 publications

(60 citation statements)

References 343 publications

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“…We investigate how the choice of the catalyst in the second reactor effects the steady-state concentration C * 2 . We consider the case E 2 = 50 kJ mol [5,4]. In systems featuring exothermic reactions, bistability typically comprises stable steady-state solutions with 'low' and 'high' values.…”

Section: Achieving 90% Conversion In Reactor Twomentioning

confidence: 99%

Maximizing product concentration in a diabatic multistage reactor

Saleh¹,

Nelson

2016

ANZIAMJ

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We develop a mathematical model describing the operation of autothermal processes. Autothermal reactors provide considerable thermal efficiency over conventional reactors. The reaction mechanism investigated is A → B → C, where the reactions occur in a two reactor cascade. Specific features of coupled endothermic and exothermic reactions are taken into account. Particular considerations are presented and discussed for different catalysts to obtain 90% conversion into product.

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Section: Achieving 90% Conversion In Reactor Twomentioning

confidence: 99%

Maximizing product concentration in a diabatic multistage reactor

Saleh¹,

Nelson

2016

ANZIAMJ

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“…In the previously considered case, the oscillatory behavior is subjected to the existence of the cusp and lobe curves. Nevertheless, according to the equilibrium Eqs (20) and (21) it may be possible to choose a value for the proportional constant K d of the controller to obtain one unstable equilibrium point. In this case, the reactor must reach an oscillating behavior around the equilibrium point.…”

Section: Figurementioning

confidence: 99%

“…In prior works [1][2][3][4][5][6], [15][16][17][18][19][20], simple models considering only two independent variables of a controlled CSTR (such as concentration and temperature) have been analyzed to exploit the oscillating behavior. In this paper, a more general model is considered taking into account the mass balance of inert components (water with sulfur acid and methanol), the energy balances in the reactor and the coolant jacket and the equations of the control system.…”

Section: Introductionmentioning

confidence: 99%

Increasing the reactant conversion through induced oscillations in a continuous stirred tank reactor by using PI control

Pérez-Polo

Pérez-Molina

2013

Journal of Process Control

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We report a strategy to increase the reactant conversion in a continuous stirred tank reactor (CSTR) to produce propylene glycol through induced oscillations generated by two controllers PI 1 and PI 2 that manipulate the reactor outlet flow and the coolant flow rate respectively. It is shown that an adequate parameter choice for the PI controllers allows one to derive sustained oscillations in the concentrations and reactor temperature, which in turn allows increasing the propylene glycol production. For a suitable choice of the PI 1 and PI 2 controller parameters, we use a complete reactor model that provides with physically feasible parameters. The issues of external disturbance rejection, self-oscillations and stability have also been discussed. The analytical calculations are verified by means of full numerical simulations.

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“…The nonlinearity is reflected in the form of multiple steady states and a 1 Chemical Process Engineering, Faculty of Technology, University of Oulu, PO Box 4300, FI-90014 University of Oulu, Finland multiform dynamic behaviour including instability, sustained oscillations, and phenomena such as strange attractors and chaotic behaviour (see e.g. Jayakumar et al [14]; Kiss et al [4]; Pérez-Polo and Pérez-Molina [15]; Razón and Schmitz [16]; Russo and Bequette [17]). …”

Section: Introductionmentioning

confidence: 99%

“…The number of possible multiplicities and especially the number of possible bifurcation diagrams increases rapidly with an increase in the complexity of the system. For example, in the case of consecutive first-order Arrhenius-type reactions in a non-adiabatic CSTR, seven steady states may exist and 23 different bifurcation diagrams can be formulated [16].…”

Section: Introductionmentioning

confidence: 99%