Differential-difference model of heat transfer in solids using the method of parametric identification

The paper considers the problem of parametric identification of a differential-difference model of the heat transfer process in a spherical body. When developing the model, the original extended Kalman filter is used which allows taking into account the dependence of the thermophysical properties of the object under study on temperature. This formulation and the obtained solution of the problem make it possible to take into account the different nature of the external thermal effect and the processes occurring inside the bodies, in particular, during phase transitions in systems of bodies. The research results obtained using parametric identification and Ansys software are in good agreement. However, the method we have considered, in contrast to the Ansys software, allows not only to determine the temperature at different points of the object, but also to restore the non-stationary heat flow at the object boundary as well as to refine its thermophysical properties. The considered method of parametric identification of the differential-difference model of heat transfer can be successfully used in determining the efficiency of heat energy storage devices.