Identification of the mathematical model of heat transfer in destruction material

Аuthors

Nenarokomov A. V.^*, Netelev A. V.^**

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

*e-mail: nenarokomovav@mai.ru
**e-mail: netelev@mai.ru

Abstract

In this work present algorithm of identification thermal characteristics destruction heat-shielding materials, based on methodology of inverse problems. At the decision inverse problem the vector of required characteristics consisting from 7 none-linear depending from temperature component (heat capacity, thermal conductivity, heat capacity of filtered gas, heat effect decomposition, and parameter of the Arenius equation is defined: sedate parameter, before exhibitor factor and energy of activation). Stability of the decision inverse problem is reached by application in algorithm of a method iterative regularization. Iterative process for a vector of required parameters is based formula gradient methods of optimization:

u^s=u^s-1+γ^sg^s, s=1,...,s*

Where u — vector of unknown functions, s — number of iteration, γ — descent step, g — increment of unknown functions.

Keywords:

inverse problem, identification, thermal destruction, regularization