Solution of the inverse thermal conductivity problem with applications to optimum filtration

The application of a digital Kalman filter to the solution of an inverse heat conduction problem is demonstrated. The object under study is a one-dimensional bar insulated on all sides except at one end face, where the bar is heated by a high-temperature flux. The temperature at one point of the bar was measured with a thin-film thermocouple. The optimal estimates obtained on the basis of the Kalman filter are shown to yield sufficiently accurate thermophysical parameters (heat conductivity) of the bar material, along with the heating conditions (boundary conditions of the third kind at the end face), provided these parameters are constant.