Influence of variable heat transfer coefficient of fireworks and crackers on thermal explosion critical ambient temperature and time to ignition

Abstract

To study the effect of variable heat transfer coefficient of fireworks and crackers on thermal explosion critical ambient temperature and time to ignition, considering the heat transfer coefficient as the power function of temperature, mathematical thermal explosion steady state and unsteady-state model of finite cylindrical fireworks and crackers with complex shell structures are established based on two-dimensional steady state thermal explosion theory. The influence of variable heat transfer coefficient on thermal explosion critical ambient temperature and time to ignition are analyzed. When heat transfer coefficient is changing with temperature and in the condition of natural convection heat transfer, critical ambient temperature lessen, thermal explosion time to ignition shorten. If ambient temperature is close to critical ambient temperature, the influence of variable heat transfer coefficient on time to ignition become large. For firework with inner barrel in example analysis, the critical ambient temperature of propellant is 463.88 K and the time to ignition is 4054.9s at 466 K, 0.26 K and 450.8s less than without considering the change of heat transfer coefficient respectively. The calculation results show that the influence of variable heat transfer coefficient on thermal explosion time to ignition is greater in this example. Therefore, the effect of variable heat transfer coefficient should be considered into thermal safety evaluation of fireworks to reduce potential safety hazard.

Dates

  • Submission Date2014-08-15
  • Revision Date2015-04-16
  • Acceptance Date2015-04-16
  • Online Date2015-05-03

DOI Reference

10.2298/TSCI140815050G

References

  1. Semenov, N. N., Zur theorie des verbrennungsprozesses. Z Phys., (1928), 48, pp. 571
  2. Frank Kamenetskii, D. A., Acta Physicochimica, U.R.S.S., (1939), 10, pp. 365
  3. Thomas, P. H., Trans.Farad.Soc., (1960), 56, pp. 883
  4. Feng, C. G., Theory of thermal explosion, Science Press, Beijing, 1988 (in Chinese)
  5. Zhou, G. W., Thermal safety study of fireworks and crackers, Ms. D. Thesis, Beijing Institute of technology, Beijing, 2010 (in Chinese)
  6. Liu, H. Y., Qian, X. M., et al., Thermal explosion model and calculation of sphere fireworks and crackers, J Therm Anal Calorim, 110(2012), 3, pp. 1029-36
  7. El-Sayed, Saad A., Critical conditions in uniform temperature systems with variable heat transfer coefficient in thermal explosion theory, Combustion and Flame, 98(1994), 3, pp. 231-240
  8. Wang, P., Du, Z. M., Influence of variation of heat transfer coefficient on the critical ambient temperature of exothermic system, Acta Armamentarii, 30(2009), 5, pp. 644-647 (in Chinese)
  9. Filimonov, V. Y., Thermal modes of monomolecular exothermic reactions: Two-dimensional model, Combustion and Flame, 160(2012), 3, pp. 539-54
  10. Boddington, T., Feng, C. G., et al., Thermal explosion, times to ignition and near-critical behaviour in uniform-temperature systems. III. Effects of variable heat-transfer coefficients, J. Chem. SOC.,Faraday Trans. 2, 80(1984), pp.1155-1169
  11. Boddington, T., Feng, C. G., et al., Thermal explosions, criticality and transition in systems with variable heat transfer coefficient: uniform temperatures, J. Chem. SOC.,Faraday Trans. 2, 79(1983), 10, pp. 1481-1498
  12. Guo, Z. R., Kou, Z. H., et al., Modeling and calculation of thermal explosion time to ignition of cylindrical fireworks and crackers, J. Therm. Anal. Calorim., 115(2014), 1, pp. 861-868
  13. Sun, Z. Z., Numerical solution of partial differential equations, Science Press, Beijing, 2012 (in Chinese)
  14. Wang, L. Q., Feng, C. G., et al., Limited space explosion and ignition in theory and experiment, Beijing Institute of Technology Press, Beijing, 2005 (in Chinese)
  15. Ji, L. L., Study of the critical temperature and thermal explosion time to ignition of cylindrical fireworks and crackers, Ms.D. thesis, Beijing Institute of Technology, Beijing, 2012 (in Chinese)