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Lookup NU author(s): Dr Ankur Mukherjee, Dr Dominic Searson, Dr Mark Willis
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A numerical investigation of the dynamics of the oscillatory Briggs-Rauscher (BR) reaction is reported in this paper. We simulate the oscillations of the BR reaction in an isothermal fed-batch reactor (FBR), modelled using the simplified mechanism proposed by (Kim et al., 2002). The reaction is perturbed at specific time instants by withdrawing a fraction of reacting mixture from the FBR and simultaneously replacing an equal volume of fresh feed into the reactor. Phase transition curves (PTCs) showing the phase change in the oscillations as a function of the perturbed phase, are constructed for different values of replacement time (Tf) and replacement ratio (R). Positive and negative phase shifts of oscillations are observed for different values of Tf and R, which are classified as Type I, according to the shape of the PTC. Simulations of the periodically forced FBR show quasiperiodicity and periodic behaviour in different regions of R-T f parameter plane. The periodically pulsed system is then characterised using the firing number which is defined as the average number of oscillations in the reacting medium within one pulse perturbation. This shows a devil's staircase (Dolnik et al., 1989) like dependence on the forcing period. The firing number is used to categorize resonant/quasi-periodic states of the system when the reaction is subject to periodic forcing.
Author(s): Mukherjee A, Searson DP, Willis MJ
Publication type: Conference Proceedings (inc. Abstract)
Publication status: Published
Conference Name: AIChE Annual Meeting
Year of Conference: 2007
Library holdings: Search Newcastle University Library for this item
ISBN: 9780816910229
