纳米含能材料的一个基本分形热传导理论模型（英文）

An Elementary Fractal Thermal Conduction Theory Model for Nanometer Energetic Materials

基于分形理论和热传导理论,分析了含能材料的感度、热传导和分形维数之间的相关性,建立了含能材料的分形热传导模型;为验证模型的正确性,对两种不同粒度硝铵炸药的粒度分形维数和表面分形维数进行了计算,并且通过模型计算了其有效热传导率。结果表明,纳米RDX的轴向有效热传导率和径向有效热传导率比微米RDX的kt和kr分别高0.204和0.059 W/mK;纳米HMX的kt和kr比微米RDX的kt和kr分别高0.079和0.426 W/mK;表明纳米含能材料比微米含能材料具有更高的有效热传导率,有利于增大热量散失、降低热点温度,从而表现出更低的感度。因此利用分形热传导模型可以评价含能材料的感度。

Based on fractal theory and heat conduction theory,the correlation among sensitivity,heat conduction,and fractal dimension of energetic materials were analyzed.Meanwhile,the fractal heat conduction models of micro and nano energetic materials were established.To verify the correctness of the model,the size fractal dimension and surface fractal dimension of two kinds of nitroamine explosives with different particle size were calculated,and the thermal conductivity was calculated by the model.The results show that the tangential effective thermal conductivity(kt)and radial effective thermal conductivity(kr)of nano RDX were higher by 0.204 and 0.059 W/mk than kt and kr of raw RDX,respectively.The kt and kr of nano HMX were higher by 0.079 and 0.426 W/mK than kt and kr of raw HMX,respectively.This meant that nano energetic materials were of higher effective thermal conductivity than micron energetic materials,which quite benefited to dissipating of the heat and decreasing of temperature of hot spots.Thus,nano energetic materials exhibited lower sensitivities.It is also concluded that the sensitivity of energetic materials can be assessed by means of the models.