Abstract

A physical and mathematical model of heat and mass transfer under phase transformations during the high-temperature, aerodynamic heating of high-speed aircraft is constructed in this work based on the identified law of the decomposition of binders of most heat-shielding composite materials. The mathematical model includes a description of the occurrence and advancement of the binder-decomposition zone (pyrolysis) limited by two moving boundaries of phase transformations, the heat transfer and filtration of pyrolysis gases in the porous coke residue, their injection into the gasdynamic boundary layer, and the distribution of the temperature and density of the composite material in the zone pyrolysis. The mathematical model and analytical method for the solution of the nonlinear heat and mass transfer problem allow the Stefan-type problem to be reduced to the solution of the transcendental equation with respect to the mass velocity of the pyrolysis zone. The results were obtained for temperature fields with allowance for the filtration in the porous residue and the pressure distribution of pyrolysis gases and for temperature fields in the pyrolysis zone that were not affected by binder decomposition, as well as the distribution of pyrolysis gas density in the pyrolysis zone.

中文翻译：

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基于粘合剂分解通用定律的隔热复合材料传热传质模型

摘要

这项工作基于大多数隔热复合材料粘合剂分解的确定规律，在高速飞机的高温，空气动力学加热过程中，在相变过程中建立了传热和传质的物理和数学模型。数学模型包括对粘合剂分解区（热解）的发生和发展的描述，该分解受两个相变的移动边界，多孔焦炭残渣中热解气体的传热和过滤，它们注入气动力边界层的限制，以及区域热解过程中复合材料的温度和密度分布。解决非线性传热和传质问题的数学模型和分析方法使Stefan型问题可以简化为关于热解区质量速度的先验方程组。得到的结果是考虑了多孔残渣中的过滤和热解气体的压力分布的温度场以及不受粘合剂分解影响的热解区中的温度场，以及热解气密度在热解区中的分布。热解区。