Resolving of Inverse Problem Based on the One Component Linear Diffusion Model Implementation of Water Vapour Into Cellular Concrete Sample

Roman Mysiuk, Volodymyr Yuzevych, Iryna Mysiuk, Taras Holubets

Abstract

This paper demonstrates the application of the inverse problem for calculating diffusion coefficient distribution into a porous cylindrical sample in a one-dimensional case. The work mainly aims to adapt a well-known diffusion equation with boundary conditions to obtain humidity profiles experimentally in porous samples. Empirical equations for diffusion coefficients according to humidity distribution are also reviewed. The main focus of this paper is concentrated on the proper interpretation of water vapour diffusion in coordinate and time dependencies. For this reason, the averaged quantities are introduced.

10.22178/pos.106-40


Keywords


porous media; inverse problem; water vapour diffusion; computation methods

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References


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