Inverse heat transfer problem for predicting heat transfer during ingress-of-coolant accidents

An analytical method has been developed for the one dimensional inverse heat conduction problem, when the temperatures are known at two positions in a plate. On the basis of these known temperatures, a closed form solution is determined for the transient temperatures beyond the two positions by using the Laplace transform technique. The method approximates the temperature data with a half polynomial power series of time. The resultant expression for the predicted temperature is explicitly obtained in the form of power series of time. Numerical results for some representative problems show that the boundary conditions can be predicted well by this method.