Estimation of the temperature-dependent thermal conductivity in inverse heat conduction problems

摘要

an iterative approach is present to determine the temperature-dependent thermal conductivity from the temperature measurements taken at one side of boundary. On the basis of he proposed method, the undetermined thermal conductivity is first denoted as the unknown variables in a set of nonlinear equations, which are formulated from the measured temperature and the calculated temperature. Then, a linearization method is used to solve the set of nonlinear equations. In the examples, one sensor is used to measure the temperature profile whether the measurement errors are included or excluded. The results show that the speed of convergence is considerably fast, since he number of iterations to approach a satisfied solution is within nine to eleven times. Comparisons between the exact thermal conductivity and the estimated ones are made to confirm the validity of the proposed method in finding the accuracy value of the temperature-dependent thermal conductivity in inverse heat conduction problem