Fast evaluation of periodic operation of a heterogeneous reactor based on nonlinear frequency response analysis

Petkovska, Menka; Nikolić, Daliborka; Markovic, A.; Seidel‐Morgenstern, A.

doi:10.1016/j.ces.2010.03.011

Cited by 29 publications

(33 citation statements)

References 18 publications

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“…The NFR method for fast evaluation of periodic operations, which is based on the nonlinear frequency response analysis of weakly nonlinear systems and the concept of higher order FRFs, has been explained in detail in our previous publications (Marković et al 2008;Petkovska et al, 2010;Petkovska and Seidel-Morgenstern, 2013;Nikolić et al, 2014aNikolić et al, , 2014b. The essence of the method is that the time-average performance of a periodic process is defined only by the DC component of the system's frequency response, which can be approximately estimated by using only the asymmetrical second order FRFs.…”

Section: Nonlinear Frequency Response Methods For Evaluating Periodic mentioning

confidence: 99%

“…Inlet concentration (Marković et al, 2008;Petkovska et al, 2010;Nikolić-Paunić and Petkovska 2013;Nikolić et al, 2014a), flow-rate (Nikolić-Paunić and Petkovska 2013;Nikolić et al, 2014a), inlet temperature and temperature of the cooling/heating medium (Nikolić et al, 2014b) were used as periodically modulated inputs, separately (Marković et al, 2008;Petkovska et al, 2010;Nikolić et al, 2014a;Nikolić et al 2014b) or two of them simultaneously (Nikolić-Paunić and Petkovska 2013). …”

Section: Introductionmentioning

confidence: 99%

“…An isothermal CSTR with a simple n-th order heterogeneous reaction with inlet concentration modulation (Petkovska et al, 2010) was also investigated, as well as isothermal plug flow reactor (PFR) and isothermal dispersed flow tubular reactor (DFTR) with simple n-th order reaction and inlet concentration modulation (Marković et al, 2008).…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear frequency response analysis of forced periodic operation of non-isothermal CSTR with simultaneous modulation of inlet concentration and inlet temperature

Nikolić

Seidel‐Morgenstern

Petkovska

2015

Chemical Engineering Science

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The nonlinear frequency response (NFR) method is applied for evaluation of possible improvement through simultaneous periodic modulation of two inputs of a non-isothermal continuously stirred tank reactor (CSTR) in which homogeneous nth order reaction A→product(s) takes place. The two modulated inputs are the concentration of the reactant in the feed steam and the temperature of the feed stream. The cross asymmetrical second order FRF which correlates the outlet concentration with both modulated inputs is derived and analyzed. The optimal phase difference which should be used in order to maximize the conversion is determined. The method is tested on three numerical examples of non-isothermal CSTRs: (a) one which is oscillatory stable with strong resonant behavior, (b) one which is oscillatory stable with weak resonant behavior and (c) one which is nonoscillatory stable. Good agreement between the results of the approximate NFR method and the results of “exact” numerical integration is obtained except for the reactor with strong resonance for forcing frequencies which are close to the resonant frequency and for the reactor with weak resonant behavior for forcing frequency equal to the resonant one in case of high forcing amplitudes

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Section: Nonlinear Frequency Response Methods For Evaluating Periodic mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Nonlinear frequency response analysis of forced periodic operation of non-isothermal CSTR with simultaneous modulation of inlet concentration and inlet temperature

Nikolić

Seidel‐Morgenstern

Petkovska

2015

Chemical Engineering Science

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“…P (g) + S will change from first-order to zero-order as the concentration of A increases, which is a regime that should not produce rate enhancement during cycling. 17 The dimensionless equation for the dynamic system in a 1D porous catalyst layer is, for the adsorbed reactant at each position within the layer:…”

Section: Periodic Operation With Simplified Kineticsmentioning

confidence: 99%

“…13,14 In order for a reaction system to have the possibility of rate enhancement during composition modulation, the kinetics must be nonlinear. 13,[15][16][17][18] 2 Models with equations that describe dynamic di↵usion and reaction in porous catalysts during composition forcing have been developed for specific reactions to explain experimental measurements. Many of these works have studied CO oxidation [6][7][8][9][10]19 or three-way automotive catalytic reactions 20 with rather complex models.…”

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confidence: 99%

Scaling Parameters for Dynamic Diffusion-Reaction over Porous Catalysts

Herz

2015

Ind. Eng. Chem. Res.

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The e↵ect of di↵usion resistance in porous solid catalysts on reaction rate during periodic cycling of CO concentration is shown for CO oxidation over Pt/Al 2 O 3 by numerical simulation. At some cycling frequencies, the average reaction rate during cycling is higher than the steady-state rate at the mean CO concentration, as expected for this nonlinear, reactant-inhibited reaction. In order to identify major aspects of dynamic di↵usion-reaction behavior, a simple kinetic mechanism that shows the main features of CO oxidation and other reactions with significant inhibition by reactants is investigated. A single dimensionless parameter group, the dynamic di↵usion coe cient, is added when going from steady-state to unsteady-state di↵usion-reaction equations. In the dynamic di↵usion coe cient, the rate at which gas-phase reactant di↵uses is reduced by the surface adsorption capacity of the catalyst. The frequency at which the peak average rate occurs is controlled by the dynamic di↵usion coe cient.

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Periodic Operation with Modulation of Inlet Concentration and Flow Rate. Part I: Nonisothermal Continuous Stirred‐Tank Reactor

2016

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The nonlinear frequency response (NFR) method, which is an analytical, fast, and easy method for evaluating the performance of forced periodically operated chemical reactors, was used to investigate possible improvements to a nonisothermal continuous stirred tank reactor (CSTR) when inlet concentration and/or flow rate is periodically modulated. The product yield corresponding to periodic operation is defined, expressions for its estimation, based on the NFR method, are derived, and it is used to evaluate the performance improvements due to periodic operation. Part I considers the general nonisothermal case. In Part II, these results are applied to an adiabatic CSTR and used to evaluate possible improvements for the case of the hydrolysis reaction of acetic anhydride.

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Fast evaluation of periodic operation of a heterogeneous reactor based on nonlinear frequency response analysis

Cited by 29 publications

References 18 publications

Nonlinear frequency response analysis of forced periodic operation of non-isothermal CSTR with simultaneous modulation of inlet concentration and inlet temperature

Nonlinear frequency response analysis of forced periodic operation of non-isothermal CSTR with simultaneous modulation of inlet concentration and inlet temperature

Scaling Parameters for Dynamic Diffusion-Reaction over Porous Catalysts

Periodic Operation with Modulation of Inlet Concentration and Flow Rate. Part I: Nonisothermal Continuous Stirred‐Tank Reactor

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