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The New Jersey Institute of Technology's
Electronic Theses & Dissertations Project

Title: Stability analysis of a continuous stirred tank reactor with an autocatalytic reaction
Author: Rosenberg, David Elliot
View Online: njit-etd1971-003
(viii, 64 pages ~ 4.6 MB pdf)
Department: Department of Chemical Engineering and Chemistry
Degree: Master of Science
Program: Chemical Engineering
Document Type: Thesis
Advisory Committee: Chen, Hung T. (Committee chair)
Hanesian, Deran (Committee member)
Perna, Angelo J. (Committee member)
Date: 1971
Keywords: Chemical Reactors
Lyapunov's Second Method
Control Theory
Availability: Unrestricted
Abstract:

The basic principles of stability analysis are set forth, including the development of a mathematical model, steady state analysis, integration of the dynamic system equations, and predictions of transient responses. The equations for the mathematical model are developed for a continuous stirred tank reactor with a cooling jacket, containing an autocatalytic reaction, in unsteady state operation. These equations are numerically integrated to obtain a good picture of reactor dynamics about the steady state. State variable methods, including the classical linearization theorems and Lyapunov's Second Method, are utilized to predict bounds of stable reactor behavior. A discussion of the shortcomings of each method is presented. Finally the results are compared and recommendations are set forth.


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