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Mathematical models and computer experiment
Modelling of resonance phenomena at combustion in CTSR
A. T. Lukyanov, P. G. Itskova, A. S. Bukharbayeva Kirov Kazakh State University
Abstract:
The influence of pulsed lazer radiation which is selectively absorbed by a buffer agent on a gas mixture combustion in a CSTR was studied in non – linear approximation. The relation between the resulting amplitude of system oscillations with the frequency and amplitude of an external action was found. Resonance phenomena were detected on a natural frequency and its multiple frequencies. It was shown, that in the vicinity of resonance at natural frequency the amplitude – frequency characteristic may be crisis – free or a hysteresis one, and the apmlitude of oscillations was proportional to the cube root of external action amplitude.
Results of analytical consideration were corroborated by nymerical solution of the non – linear problem.
Received: 05.08.1989
Citation:
A. T. Lukyanov, P. G. Itskova, A. S. Bukharbayeva, “Modelling of resonance phenomena at combustion in CTSR”, Mat. Model., 3:7 (1991), 3–9
Linking options:
https://www.mathnet.ru/eng/mm2243 https://www.mathnet.ru/eng/mm/v3/i7/p3
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