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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| Published in: | Chinese science bulletin Vol. 45; no. 20; pp. 1912 - 1918 |
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| Main Authors: | , , |
| Format: | Journal Article |
| Language: | English |
| Published: |
State Key Laboratory of Fire Science, University of Science & Technology of China, Hefei 230026, China
01.10.2000
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| Subjects: | |
| ISSN: | 1001-6538, 1861-9541 |
| Online Access: | Get full text |
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| Abstract | 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. |
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| AbstractList | 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. |
| Author | Fan, Weicheng Xie, Zhikang Wang, Qing’an |
| AuthorAffiliation | State Key Laboratory of Fire Science, University of Science & Technology of China, Hefei 230026, China |
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| References | Zhao Hengyang (BF02886306_CR6) 1996 Fu Weibiao (BF02886306_CR3) 1990 Xu Jinyuan (BF02886306_CR4) 1980 Feng Changgen (BF02886306_CR5) 1988 Cheng Yiliang (BF02886306_CR7) 1992 Yang Chuanming (BF02886306_CR2) 1987 Xu Jijun (BF02886306_CR1) 1993 |
| References_xml | – volume-title: Boiling Heat Transfer and Gas-liquid Two-phase Flow year: 1993 ident: BF02886306_CR1 – start-page: 76 volume-title: Combustion year: 1980 ident: BF02886306_CR4 – volume-title: Combustion year: 1992 ident: BF02886306_CR7 – start-page: 248 volume-title: Heat Transfer year: 1987 ident: BF02886306_CR2 – start-page: 203 volume-title: Thermal Explosion Theroy year: 1988 ident: BF02886306_CR5 – start-page: 126 volume-title: Gas and Dust Explosion year: 1996 ident: BF02886306_CR6 – start-page: 315 volume-title: Combustion year: 1990 ident: BF02886306_CR3 |
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| StartPage | 1912 |
| Subtitle | Cusp catastrophe |
| Title | Catastrophe mechanism and classification of discontinuity behavior in thermal science (II) |
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