Uncertainty of recovery of boundary conditions of heat exchange of complex bodies by solving inverse problems of thermal conductivity

摘要

A differential-difference model (DDM) of the heat transfer process in the system of bodies is developed. A method is proposed and a high-temperature converter of a non-stationary heat flow is developed. The DDM is a system of ordinary differential equations of the first order with respect to the state vector. The type of feedback, control and measurement matrices included in the DDM is determined. The parametric identification minimizes the residual between the model and experimental parameter values using a recurrent linear digital Kalman filter. The uncertainty of a parameter restoration based on the Gram matrix is estimated. The results of model experiments are presented.