This paper explores the hyperbolic heat transfer effects in processes involving high heating rates. The behavior of the model is analyzed in detail under different boundary conditions and the circumstances under which a non-Fourier law could be used to describe thermal conduction processes established from physical mathematical analysis. Finally, the model developed here is coupled to a previous population balance framework to predict the bubbling phenomenon that occurs during the fast pyrolysis of biomass. We found that a transient overheating occurs in the central zone of the generated liquid phase due to the high heating rates that take place during that process.

中文翻译：

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基于双曲线传热的生物质热解高升温过程物理数学建模与仿真

本文探讨了涉及高加热速率的过程中的双曲线传热效应。详细分析了模型在不同边界条件下的行为以及可以使用非傅立叶定律描述从物理数学分析建立的热传导过程的情况。最后，这里开发的模型与之前的人口平衡框架相结合，以预测生物质快速热解过程中发生的起泡现象。我们发现，由于在该过程中发生的高加热速率，在生成的液相的中心区域会发生瞬时过热。