Studies of heat conduction in structural ceramic materials. Part II. A study based of the solution of inverse problems of heat conduction

Abstract

The process of energy transfer in refractory materials is studied under conditions of intense high-temperature heating. The coefficients of inverse problems of heat conduction (IPHC) are analyzed. The extremum coefficients of IPHC are determined and classified as explicit and implicit in accordance with the methods used for their estimation. Coefficient-type IPHC make it possible to bring the processing of results as close as possible to the measuring cell and to diminish the effect of errors of measurement on the solution of the problems and to increase simultaneously the efficiency of the experiments. A method for performing physical experiments, high-temperature heating sources, and measuring cells are described. The boundaries of the confidence interval of the instrumental error are shown. Results of single measurements of the thermal conductivity of MgO-base ceramics in an optical furnace are presented. Computation of the errors shows that the total relative instrumental error of measurement of the thermal conductivity is quite acceptable for high-temperature studies.