Applying of the heat wave equation in the study of the movement of an aggressive environment front

Abstract

The article investigates the problem of diffusion of an aggressive environment into a material of construction. This problem is especially relevant when the penetration of an aggressive environment into the structural elements of nuclear installations is investigated. For modeling the diffusion process, we use a hyperbolic wave equation describing the motion of a heat wave. Using the Fourier method, an analytical solution is obtained. An example illustrates the solution of the problem of hydrogen diffusion into a long, thin rectangular cross-section iron rod.