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Boreskov Institute of Catalysis of the Siberian Branch of Russian ...

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PP-II-3THERMAL MODES FOR THE CSTR WITH COMPLEX CHEMICALREACTIONSSamoilenko N.G., Deyun E.V., Korsunskiy B.L., Andrianova Z.S., Kustova L.V.<strong>Institute</strong> <strong>of</strong> Problems <strong>of</strong> Chemical Physics, <strong>Russian</strong> Academy <strong>of</strong> Sciences142432 N. Semenov avenue, Moscow region, Chernogolovka, Russia.E-mail: kors@polymer.chph.ras.ruThe investigation <strong>of</strong> <strong>the</strong>rmal modes for continuous stirred-tank reactor (CSTR) is usefulin two aspects. First, it gives a contribution in <strong>the</strong> scientific basis <strong>of</strong> <strong>the</strong> safety <strong>of</strong> industrialprocesses, and, second, it widens our knowledge on <strong>the</strong> mechanisms <strong>of</strong> <strong>the</strong> birth/death <strong>of</strong> <strong>the</strong>e. g. self-oscillation regime. The dynamic behavior <strong>of</strong> CSTR with a simple reaction is wellinvestigated [1]. However <strong>the</strong> problem <strong>of</strong> <strong>the</strong> dynamic behavior <strong>of</strong> CSTR remains still nonsolved.In this work, some results <strong>of</strong> investigations <strong>of</strong> CSTR with complex reactions havebeen obtained.Autocatalysis. It was shown that, depending on <strong>the</strong> determinant parameters, ei<strong>the</strong>r one orthree steady states can be realized in CSTR with an autocatalytic reaction. Unlike wellinvestigatedfirst-order kinetics, for an autocatalytic reaction at certain values <strong>of</strong> parameters(in particular, at not very high values <strong>of</strong> Semenov criterion), <strong>the</strong>re is a restricted temperaturerange that is fundamentally inaccessible under stationary conditions. This result is a sequence<strong>of</strong> <strong>the</strong> non-linearity <strong>of</strong> <strong>the</strong> autocatalytic kinetics, and in <strong>the</strong> coordinates temperature –conversion it appears as isola. The mechanism <strong>of</strong> isola formation has been formulated. It isshown that for a strongly exo<strong>the</strong>rmal reaction <strong>the</strong>re is possible <strong>the</strong> existence <strong>of</strong> self-oscillationregimes only for steady states that are located on <strong>the</strong> unstable part <strong>of</strong> <strong>the</strong> right branch <strong>of</strong> a<strong>the</strong>rmal isoclinal line (<strong>the</strong> limit cycle on <strong>the</strong> phase plane).The mechanism <strong>of</strong> stability change has been investigated. Depending on <strong>the</strong> values <strong>of</strong>parameters (in particular, at <strong>the</strong> variation <strong>of</strong> <strong>the</strong> Damköhler criterion), both s<strong>of</strong>t and stiff death<strong>of</strong> <strong>the</strong> limit cycle can be realized.Concurrent reactions. For CSTR with two concurrent exo<strong>the</strong>rmal first-order reactions,<strong>the</strong> investigation <strong>of</strong> <strong>the</strong> mechanisms <strong>of</strong> birth and death <strong>of</strong> self-oscillations has been carried outusing third focus coefficient, whose sign is an indication for <strong>the</strong> mechanism <strong>of</strong> <strong>the</strong> birth <strong>of</strong>self-oscillations. The calculations have been carried out for <strong>the</strong> steady states that are locatedon <strong>the</strong> unstable part <strong>of</strong> <strong>the</strong> <strong>the</strong>rmal isoclinal line. It was shown that, in case that a steady stateis located near <strong>the</strong> borders <strong>of</strong> <strong>the</strong> unstable part <strong>of</strong> <strong>the</strong> <strong>the</strong>rmal isoclinal line, so <strong>the</strong> birth <strong>of</strong>self-oscillations proceeds by a stiff mechanism, resulting from <strong>the</strong> closeness <strong>of</strong> trajectories.The arising self-oscillations have right away final amplitudes. In this case two limit cycles277

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