In order to analyze thermal safety of fireworks and crackers, thermal explosion models of three kinds of sphere fireworks and crackers with different structures are achieved on the basis of thermal explosion theory, and thermal resistance of shell and effective Biot number are deduced as for boundary conditions. Two models are calculated with target-shooting method in Matlab program, and the rationality is proved through comparison of numerical solution and classical solution. Meanwhile, calculation steps are shown about a type of firework. The study has a great significance to thermal safety analysis of fireworks and crackers.
Nie, JH. 2010. Study on safety production core issue of fireworks and firecrackers. J Saf Sci Technol. 6:66–67.
Huang, ZH, Cui, HT. 2010. Accident analysis and fire safety management in the process of cracker production. Initiat Propell. 1:4–49.
Zhang, GH, Tan, AX, Jiang, ZC. 2008. Experimental study on transport dangerous classification of display shells. Initiat Propell. 9:53–56.
Zayed, MA. 2010. Stability studies of double-base propellants with centralite and malonanilide stabilizers using MO calculations in comparison to thermal studies. J Hazard Mater. 179:34–38 .
G.W. Zhou . Thermal safety study of fireworks and crackers, Ms.D. thesis. Beijing Institute of Technology, Beijing, 2010.
Zhang, GH, Tan, AX, Jiang, ZC, Qiu, ZS, Xiao, JY. 2010. Experimental study on time/pressure tests for pyrotechnic composition in fireworks. J Insp Quar. 20:6–9.
Roduit, B, Xia, L, Folly, P, Berger, B, Mathieu, J, Sarbach, A, Andres, H, Ramin, M, Vogelsanger, B, Spitzer, D, Moulard, H, Dilhan, D. 2008. The simulation of the thermal behavior of energetic materials based on DSC and HFC signals. J Therm Anal Calorim. 93:10–143.
Chou, YC, Hsieh, TF, Hsieh, YC, Lin, CP, Shu, CM. 2010. Comparisons of MWCNTs and acidified process by HNO3 on thermal stability by DSC and TG-FTIR. J Therm Anal Calorim. 102:105–106 .
Lei, YJ, Zhu, CH, Hu, RZ, Wang, BZ. 2002. Kinetics of the exothermic decomposition reaction and critical temperature of the thermal explosion for 7-amino-4,6-dinitrobenzofuroxan (ADNBF). Chin J Explos Propell. 2:44–48.
Zhang, H, Hu, JY, Hu, RZ, Zhao, FQ, Gao, HX. 2011. A new method based on the non-isothermal kinetic equation to estimate the critical temperature of thermal explosion for energetic materials using non-isothermal DSC. J. Shanghai Jiaotong Univ (Sci). 16:247–249 .
Zhao, FQ, Gao, HX, Hu, RZ, Lu, GE, Jiang, JY. 2006. A study of estimating the safe storage life, self-accelerating decomposition temperature and critical temperature of thermal explosion of double-base propellant using isothermal and non-isothermal decomposition behaviours. Chin Chem Lett. 17:11–667.
Wang, P, Qin, CS. 2003. A calculation of the critical parameters of thermal explosion for the finite cylinder of energetic materials. Explos Shock Wave. 23:6–158.
Feng, CG. 1988 Thermal explosion theory Science Press Beijing.
Du, X, Feng, CG, Du, ZM. 1996. Critical parameters for the thermal explosion problem of exothermic materials with shells. J Beijing Inst Technol. 16:6–37.
Guo, PJ, Hu, RZ, Zhang, H, Xia, ZM. 2004. Estimation of critical rate of temperature rise for thermal explosion of first order autocatalytic decomposition reaction systems by using non-isothermal DSC. Chem Res Chin Univ. 20:163–166.
Zhang, H, Hu, RZ, Zhao, FQ, Gao, HX, Ma, HX. 2010. Estimation of critical temperature of thermal explosion for trinitromethyl explosives by non-isothermal DSC. Chem Res Chin Univ. 26:5–436.
Wang, LL, Xie, JB, Zhou, JM, Wang, WL. 2009. Study on the simulation and verification methods for the identification of heat explosive accidents in high risk Processes. China Saf Sci J. 19:84–88.
Roduit, B, Folly, P, Berger, B, Mathieu, J, Sarbach, A, Andres, H, Ramin, M, Vogelsanger, B. 2008. Evaluating SADT by advanced kinetics-based simulation approach. J Therm Anal Calorim. 93:10–153.
Du, X, Feng, CG. 2004. Critical parameters for the thermal explosion of exothermic systems having two-dimensional geometries. J Beijing Inst Technol. 14:37–39.
Wang, P, Du, ZM. 2007. Random nature of thermal explosion criticality of exthermic system. China Saf Environ. 7:115–118.
Sun, ZH, Wang, Y. 2005. Evaluation of autoignition of organic peroxides with small sample mass. Chin J Appl Chem. 22:1–6.
Zhao, FQ, Hu, RZ, Gao, HX. 2009. A simple method based on Harcourt-Esson's Equation to estimate the critical temperature of thermal explosion for energetic materials using non-isothermal DSC. Chin J Chem. 27:101–107.
Yang, SM, Tao, WQ. 2006 Heat transfer theory High Education Press Beijing.
Roduit, B, Brogli, F, Mascarello, F, Schwaninger, M, Glarner, T, Wiss, J, Luginbuhl, M, Williams, C, Beuse, P. 2009. Eestinmation of TMRad using kinetics parameters derived from DSC-investigation of thermal behavior of 3-methy-4-nitrophenol. J Therm Anal Calorim. 94:1–9.
Qin, CS, Duan, QS. 1998. A new method for computing the critical parameters of thermal explosion. Energ Mater. 6:6–8.
Qin, CS, Zhang, TJ. 2008. Thermal explosion critical state parameters estimated with variational method. Explos Shock Wave. 12:106–107.
Z.M. Du . Thermal ignition of exothermic reaction system in limited space, Ph.D. thesis. Beijing Institute of Technology, Beijing, 1993.
Li, JH. 2005. Study on the relationship between the critical parameters of thermal explosion and the long-to-diameter of explosive cylinder. Energ Mater. 3:34–36.
Roduit, B, Dermaut, W, Lunghi, A, Folly, P, Berger, B, Sarbach, A. 2008. Advanced kinetics-based simulation of time to maximum rate under adiabatic condition. J Therm Anal Calorim. 93:11–163.
Yang, BG, Shi, H. 2009. A thermal stability criterion for heat conduction in multilayer composite solids. J Heat Trans. 131:11–16.
Xu, F, Sun, LX, Zhang, J, Qi, YN, Yang, LN, Ru, HY, Wang, CY, Lan, XF, Jiao, QZ, Huang, FL. 2010. Thermal stability of carbon nanotubes. J Therm Anal Calorim. 102:10–28 .