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A simple method for inverse estimation of surface temperature distribution on a flat plate

In this article, the temperature distribution of one surface of a flat plate is obtained from the solution of the inverse heat conduction problem (IHCP) based on the temperature measurement at the opposite surface of the plate. The modified one-dimensional correction method (MODCM), along with the finite volume method, is employed for both the two- and three-dimensional inverse problems. A series of numerical experiments are conducted in order to verify the effectiveness of the method. In addition, the effect of the factors, such as the temperature measurement error and the thermal conductivity of the flat plate, on the identification results of the temperature distribution is also studied. It is demonstrated by the numerical experiments that the method is a simple, stable and accurate one for this IHCP. The identification results are not sensitive to the measurement error of the inspection surface.