Abstract
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.
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References
Xu Jijun, Boiling Heat Transfer and Gas-liquid Two-phase Flow (in Chinese), Beijing: Atomic Energy Press, 1993.
Yang Chuanming, Heat Transfer (in Chinese), Beijing: Higher Education Press, 1987, 248–251.
Fu Weibiao, Zhang Yonglian, Wang Qing’an, Combustion (in Chinese), Beijing: Higher Education Press, 1990, 315, 493.
Xu Jinyuan, Xu Tongmuo, Combustion (in Chinese), Beijing: China Machine Press, 1980, 76–77 and 126.
Feng Changgen, Thermal Explosion Theroy (in Chinese), Beijing: Science Press, 1988, 203, 287.
Zhao Hengyang, Gas and Dust Explosion (in Chinese), Beijing: Beijing Institute of Technology Press, 1996, 126.
Cheng Yiliang, Zhang Xiaochun, Sun Ci et al., Combustion (in Chinese), Beijing: Aviation Industry Press, 1992.
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Xie, Z., Fan, W. & Wang, Q. Catastrophe mechanism and classification of discontinuity behavior in thermal science (II). Chin.Sci.Bull. 45, 1912–1918 (2000). https://doi.org/10.1007/BF02886306
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DOI: https://doi.org/10.1007/BF02886306