Identification of models, definition and the forecast of properties for highly porous heat-shielding materials

Аuthors

Alifanov O. M.^*, Cherepanov V. V.^**

Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, А-80, GSP-3, 125993, Russia

*e-mail: o.alifanov@yandex.ru
**e-mail: vvcherepanov@yandex.ru

Abstract

The complex procedure, allowing to define and predict a considerable part of physical properties of highly porous heat-shielding material, is offered. Its basis is formed by a combination of experiment, statistical methods of mathematical modelling, methods of solving a radiation transfer problem and methods of identification of mathematical models by the solution of corresponding inverse problems. Besides decrease in the expenses, the similar approach essentially expands possibilities of experimental methods. It allows to study and to predict a heat conductivity components, factor of accommodation of energy, complex refractive index and dielectric permeability, scattering indicatrix etc. As the element of the offered approach an original method of the numerical decision of the radiation transfer problem in a heterogeneous flat layer is described. The received results can be applied to creation of the new materials, not destroying quality monitoring and diagnostics, designing of systems of a heat-shielding etc.

Keywords:

highly porous materials, thermal experiment, methodology, termo-physical properties, definition and the forecast, radiation transfer, integral equation, functional minimisation, conjugate gradient method, stabilization.