SIMULTANEOUSLY ESTIMATING THE INITIAL AND BOUNDARY-CONDITIONS IN A 2-DIMENSIONAL HOLLOW CYLINDER

This study is intended to provide a different perspective for solving two-dimensional inverse heat conduction problems. At the beginning of the study, finite-difference methods are employed to discretize the pr oblem domain and then a linear inverse model is constructed to identif y the initial and boundary conditions. The present approach is to rear range the matrix forms of differential governing equation and estimate coefficients of unknown condition. Then, the linear least-squares met hod is adopted to find the solution. The results show that if the meas urement errors are considered, more measuring points are needed in ord er to increase the congruence of the estimated results to exact soluti ons. In this paper, temperature-time Variations are measured at intern al and outside points. A little effect of the measurement time interva l on the estimates are shown with-the method proposed. (C) 1997 Publis hed by Elsevier Science Ltd.