Abstract:
The article analyzes the analytical and numerical solutions of heat conduction
under the theory of inhomogeneous bodies. The distribution of sub-zero temperature in an
inhomogeneous half-space and accounting for the continuous inhomogeneity of the heat conduction rate and internal heat dissipation sources are given for the first time. The evaluation
of the obtained results and the known solutions as per the European and national standards
are reviewed. The comparison of numerical and analytical solutions for the test problems
proves the accuracy of the obtained results. Given the availability of appropriate coefficients,
these solutions are also correct for solving problems of chemical reactions with the release of
heat, moisture transmission, diffusion, corrosion cracking, and other problems described by
the equation of heat conduction.
