Information Support of Methods and Means of Non-Destructive Thermal Control of Heat-Shielding Properties of Sample

Abstract

The article studies the mathematical apparatus, being the basis of information support of the methods of non-destructive thermal control of heat-shielding properties of samples from solid heterogeneous or monolithic materials using rectangular heated surface area. When developing the mathematical apparatus we used Laplace and Fourier transformations which let the developed method of integral characteristics greatly simplify the search for solutions of multi-dimensional problems of thermal conductivity and get explicit and accurate analytical expressions to determine thermal conditions.