𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Multiplicity and stability of oscillatory states in a continuous stirred tank reactor with exothermic consecutive reactions A → B → C

✍ Scribed by Donald S. Cohen; James P. Keener

Publisher
Elsevier Science
Year
1976
Tongue
English
Weight
805 KB
Volume
31
Category
Article
ISSN
0009-2509

No coin nor oath required. For personal study only.

✦ Synopsis

Ah&a&-We study the dimensionless heat and mass balance equatibns describing a continuous stirred tank reactor in which there is occurring consecutive first order exothermic reactions. A~~~ ~ymptotic ~c~ations and muner$g calculations are presentqd for both steady states and oscillatory states. A formal perturbation theory, via multitiie scale techniques, is derived to account for limit cycles in phase space. The theory produces for&as whiih are immediately interpretable phisicafly and from which the stability of @e oscillations is immediately resolved without recourse to further techniques. Fur&em&e, numerical cakulatiot8 via our theory are performed whi& are far cheaper and easiek than a direct numerical search and computation involviug the long time study of the basic different&l equations.

📜 SIMILAR VOLUMES

Multiplicity and uniqueness for binary,
Multiplicity and uniqueness for binary, exothermic reaction in a non-adiabatic continuous stirred tank reactor
✍ K.F. Lin 📂 Article 📅 1980 🏛 Elsevier Science 🌐 English ⚖ 573 KB

Exact multlphclty and umqueness cnterla for steady state m a non-adiabatic contmuous stirred tank reactor are studled through simple tangent analysis for binary, exothermlc reactlon of the type A + bB -Products with rate expresslon zA = EGC",, where A IS the hmitmg reactant Important parameters for

Numerical computation of periodic soluti
Numerical computation of periodic solution branches and oscillatory dynamics of the stirred tank reactor with A → B → C reactions
✍ Eusebius J. Doedel; Robert F. Heinemann 📂 Article 📅 1983 🏛 Elsevier Science 🌐 English ⚖ 649 KB

We use a continuation technique for branches of periodic solutions to investigate the oscillatory behavior of a continuously stirred tank reactor with consecutive A + B + C reactions. This continuation technique allows the computation of entire periodic solution branches, including those with limit