Improvement of Inverse Heat Conduction Solution using Laplace Transformation. (Method of Partial Division of Time).

Abstract

An analytical method has been developed for inverse problem of one- and two-dimensional heat conduction by using Laplace transform technique. For the cases of radical change in a measured temperature and of a triangular shape of temperature change, a proposed function cannot approximate the temperature over the whole range of measured time so that the inverse solution obtained thereby makes its estimation deteriorate. The characteristic of Laplace transform gives this deterioration clear by splitting the whole time into a partial time. The result shows that the estimation of surface temperature and heat flux can be markedly improved on comparison of any existing one.