Catastrophe mechanism and classification of discontinuity behavior in thermal science (II) Cusp catastrophe

O4; The catastrophe mechanisms of thermal performance characteristics of the firebox gas combustion system were analyzed from the viewpoint of catastrophe theory. The mathematical models of cusp catastrophe were established. The relationship between the thermal performance characteristics and the ch...

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Veröffentlicht in:Chinese science bulletin Jg. 45; H. 20; S. 1912 - 1918
Hauptverfasser: Xie, Zhikang, Fan, Weicheng, Wang, Qing’an
Format: Journal Article
Sprache:Englisch
Veröffentlicht: State Key Laboratory of Fire Science, University of Science & Technology of China, Hefei 230026, China 01.10.2000
Schlagworte:
complexity science
thermal science
classification
catastrophe
nonlinear science
ISSN:1001-6538, 1861-9541
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Zusammenfassung:O4; The catastrophe mechanisms of thermal performance characteristics of the firebox gas combustion system were analyzed from the viewpoint of catastrophe theory. The mathematical models of cusp catastrophe were established. The relationship between the thermal performance characteristics and the changing of system control variables was studied. The cusp catastrophe mechanisms of typical performance characteristics, such as kicking and lagging, and those of transition from quenching to igniting were explained. It was illustrated that discontinuity behavior of thermal systems with an "S" motion feature curve and lagging feature may be equivalently classified according to the topology of cusp catastrophe, influenced by two groups of independent control variables.
ISSN:1001-6538
1861-9541
DOI:10.1007/BF02886306