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Influence of natural convection on the parameters of thermal explosion in the horizontal cylinder

机译:自然对流对卧式圆柱体热爆炸参数的影响

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The problem of a thermal explosion in the cylinder has been solved taking into account the natural convection. Both the classical solution of the Frank-Kamenetskii model and a realistic model of a thermal emission which takes into consideration reverse endothermic processes have been considered. It is shown that in this case the solution exists for any value of the energy influx into system. However, under certain conditions a sharp transition into the area of high temperatures still occurs which corresponds to the thermal explosion. It is shown that convection leads to significant change of the parameters of the thermal explosion. The results of this consideration are of interest for the theory of lasers and discharges where the Rayleigh numbers are rather large and the influence of convection appears to be essential.
机译:考虑到自然对流,已经解决了气缸内热爆炸的问题。既考虑了Frank-Kamenetskii模型的经典解决方案,又考虑了考虑反向吸热过程的热辐射现实模型。结果表明,在这种情况下,存在任何能量流入系统的解决方案。但是,在某些条件下,仍然会发生急剧转变成高温区域,这与热爆炸相对应。结果表明,对流导致热爆炸参数的显着变化。这种考虑的结果对于瑞利数相当大且对流的影响显得至关重要的激光和放电理论很感兴趣。

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