The modelling and numerical simulation of the drying process in porous media are discussed in this work with the objective of presenting the drying problem as the system of governing equations, which is ready to be solved by many of the now widely available control-volume-based numerical tools. By reviewing the connection between the transport equations at the pore level and their up-scaled ones at the continuum level and then by transforming these equations into a format that can be solved by the control volume method, we would like to present an easy-to-use framework for studying the drying process in porous media. In order to take into account the microstructure of porous media in the format of pore-size distribution, the concept of bundle of capillaries is used to derive the needed transport parameters. Some numerical examples are presented to demonstrate the use of the presented formulas.

中文翻译：

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连续模型在多孔介质中干燥过程的框架和数值解

在这项工作中讨论了多孔介质中干燥过程的建模和数值模拟，目的是将干燥问题作为控制方程系统提出，可以通过许多目前广泛使用的基于控制量的方法解决数值工具。通过审查孔隙水平上的输运方程与连续介质水平上的输运方程之间的联系，然后将这些方程转换为可通过控制体积法解决的格式，我们想提出一种易于使用框架研究多孔介质中的干燥过程。为了考虑孔径分布形式的多孔介质的微观结构，使用毛细管束的概念来得出所需的传输参数。