Journal ArticleDOI
Multiplicity features of reacting systems. Dependence of the steady-states of a CSTR on the residence time
Vemuri Balakotaiah,Dan Luss +1 more
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TLDR
Singularity theory with a distinguished parameter, as developed by Golubitsky and Schaeffer, is a very useful tool for predicting the influence of changes in a control or design variable on the steady-state of lumped-parameter systems as mentioned in this paper.About:
This article is published in Chemical Engineering Science.The article was published on 1983-01-01. It has received 135 citations till now.read more
Citations
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Multiplicities and instabilities in chemically reacting systems — a review
Luis F. Razon,Roger A. Schmitz +1 more
TL;DR: In this paper, a review brings attention to much of the recent literature describing these developments and their applications, particularly regarding complex and chaotic oscillations, as well as reported experimental observations which, in many cases, have provided support for prior theory and in many others, have led to new theoretical developments.
Journal ArticleDOI
Global analysis of the multiplicity features of multi-reaction lumped-parameter systems
Vemuri Balakotaiah,Dan Luss +1 more
TL;DR: In this paper, a systematic, efficient scheme is presented for finding parameter values corresponding to a specific number of solutions. But this scheme is not suitable for large-scale systems, where many chemical reactions occur simultaneously with a large number of parameters.
Journal ArticleDOI
Bifurcation behavior in homogeneous-heterogeneous combustion: II. Computations for stagnation-point flow☆
TL;DR: In this paper, a technique based on the bifurcation theory and the shooting algorithm is developed, which permits fast and efficient tracking of bifurbation in these systems, and it is predicted that the homogeneous ignition temperature is higher with surface reaction than without surface reaction.
Journal ArticleDOI
Impact of process design on the multiplicity behavior of a jacketed exothermic CSTR
Louis P. Russo,B. Wayne Bequette +1 more
TL;DR: In this paper, the effect of process parameters such as the cooling jacket flow rate, heat transfer coefficient, heat of reaction, and cooling jacket feed temperature on the steady-state multiplicity of the three-state CSTR model is investigated.
Journal ArticleDOI
Multiple steady states in reactive distillation: kinetic effects
TL;DR: In this paper, the Damkohler number (Da), the ratio of a characteristic residence time to a characteristic reaction time, is used to describe the effect of kinetics on solution multiplicity.
References
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Journal ArticleDOI
A Theory for Imperfect Bifurcation via Singularity Theory.
TL;DR: In this paper, the authors apply the theory of singularities of differentiable mappings (SOMD) to study the effect of imperfections in a system subject to bifurcation.
Journal ArticleDOI
The classification of the dynamic behavior of continuous stirred tank reactors—influence of reactor residence time
TL;DR: In this article, the dynamic behavior of the continuous stirred tank reactor is analyzed and classified for a variable reactor residence time, and plots are given to show the influence of system parameters on the reactor behavior.
Journal ArticleDOI
Structure of the steady-state solutions of lumped-parameter chemically reacting systems
Vemuri Balakotaiah,Dan Luss +1 more
TL;DR: In this paper, the maximal number of steady-state solutions of a lumped parameter system in which several chemical reactions occur simultaneously is determined, and the method can predict also the different types of diagrams describing the dependence of a state variable of the reactor on a design or operating variable.
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