Heat conduction in a shell with gas-phase deposition of material on its surface

The development of additive technologies such as gas-phase deposition provides the possibility of applying various coatings with different properties. The study introduces a model of heat conduction which relies on the specific character of heat and mass transfer in chemical gas-phase deposition on a curvilinear surface with a linear change in the curvature over the shell thickness. A difference scheme was constructed with use the interpolation method, and the computational solution of the problem was found. The approximation and the stability of difference schemes were investigated, and examples of numerical calculations for various materials were given.