An improved simplified theory of polydisperse spray flame ignition is presented for the case of a semi-infinite homogeneous region of air and fuel droplets subjected to heat flux by an infinite slab. Our previous models used a basic assumption that the evaporation commences simultaneously for all droplets at a given prespecified evaporation temperature, irrespective of the size of the droplets. In view of the fact that the range of heat-up times of different size droplets may be nonnegligible, a new description of and solution for the polydisperse spray is presented, which accounts for the disparity in onset of evaporation. The governing equations are solved, and results are offered to illustrate how possible ignition scenarios resulting from the spray polydispersity are altered due to the more accurate description of the basic physics.

中文翻译：

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一种改进的研究喷雾多分散性对层状预混合喷雾火焰着火的模型

提出了一种改进的简化的多分散喷雾火焰点火理论，该方法适用于空气和燃料液滴受无限平板影响的热通量的半无限均匀区域。我们以前的模型使用的基本假设是，在给定的预定蒸发温度下，所有液滴均同时开始蒸发，而与液滴的大小无关。考虑到不同大小的液滴的加热时间范围可能不可忽略的事实，提出了多分散喷雾的新描述和解决方案，其解决了蒸发开始时的差异。求解了控制方程，并提供了结果，以说明由于对基本物理学的更准确描述而导致的由喷雾多分散性引起的可能点火情况如何改变。