Numerical method for hyperbolic inverse heat conduction problems

The Laplace transform technique and control volume method in conjunction wi th the hyperbolic shape function and least-squares scheme are applied to es timate the unknown surface conditions of one-dimensional hyperbolic inverse heat conduction problems In the present study, the expression of the unkno wn surface conditions is not given a priori To obtain the more accurate est imates. the whole time domain is divided into several analysis sub-time int ervals Afterward, the unknown surface conditions in each analysis interval are estimated To evidence the accuracy of the present method. a comparison between the present estimations an exact results is made. Results show that good estimations on the unknown surface conditions can be obtained from th e transient temperature recordings only at one selected location even for t he cases with measurement errors. (C) 2001 Elsevier Science Ltd.