Mathematical Study of the Water-Vapor Permeability of the Surface Layer of a Homogeneous Porous Material

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.