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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

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