Generalized Unsteady Thermal Conductivity in a Half-Space

This paper considers a non-stationary problem of heat conduction using a volumetric heat source acting in an isotropic half-space. The process of heat transfer in a half-space is described by the generalized hyperbolic Maxwell–Cattaneo equation. To construct the volumetric influence function, we represent the volumetric heat source as a concentrated source located at a point of a heat-conducting half-space. The problem of continuous heating of a half-space by a concentrated heat source is considered, and the results of calculations are given. The results of the work can be used to assess the contribution of nonstationary thermal conductivity in the processes of heat transfer in materials and structures exposed to intense heat flows (heating by gases with high enthalpy, laser surface treatment, additive technologies, etc.).