The structure of the thermal explosion limit with variable pre-exponential factor |
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| Authors: | S O Ajadi and Vl Gol’dshtein |
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| Institution: | (1) Doctoral Program, Department of Industrial Education and Technology, National Changhua University of Education (NCUE), Bao-Shan Campus, 1, Jin-De Rd., Changhua, Changhua, Taiwan, 50074, ROC;(2) Department of Electrical Engineering, Hsiuping Institute of Technology, 11, Gong-Ye Rd., Dali, Taichung, Taiwan, 41280, ROC;(3) Doctoral Program, Graduate School of Engineering Science and Technology, National Yunlin University of Science and Technology, 123, University Rd., Sec. 3, Douliou, Yunlin, Taiwan, 64002, ROC;(4) Department of Industrial Education and Technology, National Changhua University of Education (NCUE), Bao-Shan Campus, 1, Jin-De Rd., Changhua, Changhua, Taiwan, 50074, ROC; |
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| Abstract: | An approximate critical explosion parameter, which separates the slow and explosive reactions is determined with respect to
the initial data, using the asymptotic technique to analyze a one step reaction mechanism with temperature dependent pre-exponential
factor. We obtained and analysed the effect of the variable pre-exponential factor on the critical temperature, critical parameter
for thermal explosion and the first order approximation of the slow curve. By introducing a new coordinate and using the Method
of Invariant Manifold (MIM), we obtained corrections on the critical temperature. The results obtained are not only general;
they also reveal some salient properties of the system hitherto unknown. |
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