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JOURNALS // Matematicheskoe modelirovanie // Archive

Matem. Mod., 1991 Volume 3, Number 7, Pages 3–9 (Mi mm2243)

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.

UDC: 536.46

Received: 05.08.1989



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