“…The unsteady-state operation of chemical reactors has been a highly ambitious research topic for the last decades [1][2][3][4][5][6][7]. Amongst others, the performance improvement of unsteadystate operation of chemical processes compared to optimal performance of steady-state operation has been studied most intensively [5,6,8,9].…”
Dedicated to Professor Rüdiger Lange on the occasion of his 65th birthday A method for frequency response analysis of chemical reactors with periodically modulated inlet concentration is presented and demonstrated for simple firstorder irreversible consecutive and parallel as well as reversible reactions applying an isothermal continuous stirred-tank reactor (CSTR). The frequency response of these reaction types is studied by simulations in time and frequency domain, the latter being based on Laplace transformation of the material balance. The results allow for clearly distinguish between the quasi and relaxed steady state as well as the full transient region with impact on designing reactors for dynamic operation. Furthermore, the relation between the dynamic response and the time constants of the system is discussed.
“…The unsteady-state operation of chemical reactors has been a highly ambitious research topic for the last decades [1][2][3][4][5][6][7]. Amongst others, the performance improvement of unsteadystate operation of chemical processes compared to optimal performance of steady-state operation has been studied most intensively [5,6,8,9].…”
Dedicated to Professor Rüdiger Lange on the occasion of his 65th birthday A method for frequency response analysis of chemical reactors with periodically modulated inlet concentration is presented and demonstrated for simple firstorder irreversible consecutive and parallel as well as reversible reactions applying an isothermal continuous stirred-tank reactor (CSTR). The frequency response of these reaction types is studied by simulations in time and frequency domain, the latter being based on Laplace transformation of the material balance. The results allow for clearly distinguish between the quasi and relaxed steady state as well as the full transient region with impact on designing reactors for dynamic operation. Furthermore, the relation between the dynamic response and the time constants of the system is discussed.
“…Investigating into how noise interplays with nonlinear dynamics would shed light on the functions that are based on noise. Researches on catalytic reactions have shown that by periodically perturbing the reactant concentrations, temperature of flow reversal could improve the reaction performance such as selectivity and reaction rates [20] . Considering the results in the present paper, we believe that noise can also do favor to this end.…”
Canard explosion is a kind of complex temporal behavior and is ubiquitous in excitable systems. It is associated with an abrupt change of amplitude and period of an oscillatory trajectory in a very narrow interval of a control parameter. We have analyzed in the present paper the behavior of canard explosion that is near a supercritical Hopf bifurcation and its response to white noise in a temporal model of CO oxidation on platinum surface. We have found that the presence of canard explosion gives rise to internal signal stochastic bi-resonance, thus demonstrating a novel functional feature of noise: selective amplifying signals with different periods.
“…Table 4: Expression of a, b, c, d, N, and h for the one-and two-color systems, where κ is given in Table 3, Ψ 0 1B and Ψ 0 2F in Eqs. (19,20,22), and ζ R , ζ F , η, γ, γ 1 , and γ 2 in Table 1. where the vectors are…”
“…modulation of pressure, temperature, or illumination, is a useful tool to improve the reaction performance, the reaction rate, or to control the selection of a given behavior in complex nonlinear reactions. 17,18,19,20,21 Optimizing the quantity of interest consists in determining resonance conditions relating the parameters associated with external forcing and intrinsic chemical dynamics. Analogous optimization could be obtained using noise instead of a periodic forcing leading to stochastic resonance.…”
In order to design a dynamic titration method, we propose a theoretical model harnessing the kinetic properties of the complexation of the titrated species with a titrating photoswitchable reagent. Forced oscillations of illumination are imposed and concentration oscillations of the targeted species are deduced from the equations of chemical kinetics. We determine analytical expressions of the resonance conditions on the control parameters, angular frequency, mean light intensity, and total concentration of the photoswitchable reagent, which optimize the out-of-phase amplitude of concentration oscillations. A user-friendly protocol of dynamic titration is proposed.
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