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Method of vibrational control in the problem of stabilization of chemical reactors. Progress report, July 1, 1981-June 30, 1982 [electronic resource].

Published
Chicago, Ill. : Illinois Institute of Technology, 1982.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy.
Physical Description
Pages: 98 : digital, PDF file
Additional Creators
Illinois Institute of Technology and United States. Department of Energy. Office of Scientific and Technical Information
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Summary
The results obtained during the second year of the three years study of vibrational control application to the problem of stabilization of chemical reactors are presented. The main objective was the development of a nonlinear approach to analytical and numerical investigation of the properties of chemical reactors with oscillating parameters. This objective was achieved and the following results were obtained. Nonlinear vibrational control theory was applied to two types of chemical reactors, the Catalytic Reactor and Continuous Stirred Tank Reactor. It was shown that introduction of sufficiently fast oscillations results in a decrease of the negative slope part (unstable area) of the reactor steady state characteristic. Consequently, the steady states, corresponding to larger productivity, are stabilized. A simulation program was developed and the numerical investigation of reactors with oscillating parameters was carried out. Experiments with the program showed that: the averaged description yields an adequate precision if epsilon = 1/T/sub r/..omega.. approx. = 0.16 (..omega.. is the frequency of introduced vibrations and T/sub r/ is the rise time of the system without vibrations); and the admissible vibrations could result in an increase in productivity of the reactor by a factor of 2/3. On the basis of numerical simulations, the following phenomena were discovered: stabilization of unstable steady states by small and slow oscillations; enlargement of the attraction domain of stable steady states due to medium amplitude and frequency oscillations; and destruction of limit cycles by any types of oscillations. None of these phenomena has theoretical explanations. A basis of vibrational control theory for distributed parameter systems was established. This opened the possibility for vibrational control applications to chemical reactors described by partial differential equation.
Report Numbers
E 1.99:doe/er/10709-2
doe/er/10709-2
Subject(s)
Other Subject(s)
Note
Published through SciTech Connect.
03/01/1982.
"doe/er/10709-2"
"DE82013557"
Meerkov, S.M.
Funding Information
AC02-80ER10709
View MARC record | catkey: 14114774