Abstract

Permeability in relation to gases and liquids is one of the most important characteristics of porous materials. A porous material can interact with gases and liquids flowing through it in different ways that depend on a material’s permeability. Studies of the interaction of water vapor with materials with uniformly distributed pores are of considerable practical interest, since many of these materials are used in building and construction. Interest is also due to the possibility of expanding the study results obtained for an individual pore to a porous medium if this medium can be represented as a structure with uniformly distributed pores with sufficient accuracy. The dependence of the permeability of an individual cylindrical pore on its radius, length, and characteristics of the process of water-molecule interaction with the pore walls is studied.

中文翻译：

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均质多孔材料表层水蒸气渗透性的数学研究

摘要

相对于气体和液体的渗透性是多孔材料的最重要特征之一。多孔材料可以以不同的方式与流过它的气体和液体相互作用，具体取决于材料的渗透性。水蒸气与具有均匀分布的孔的材料之间的相互作用的研究具有相当大的实际意义，因为许多这些材料被用于建筑和构造。如果该介质可以表示为具有足够准确度的均匀分布的孔的结构，则也有可能将对单个孔获得的研究结果扩展到多孔介质中，这也引起了人们的兴趣。单个圆柱孔的渗透率与其半径，长度，