A 3-DIMENSIONAL INVERSE HEAT-CONDUCTION PROBLEM APPROACH FOR ESTIMATING THE HEAT-FLUX AND SURFACE-TEMPERATURE OF A HOLLOW CYLINDER

This study is intended to provide a different perspective for solving the three-dimensional, inverse, steady heat conduction problem for a h ollow cylinder. At the beginning of the study, finite-difference metho ds are employed to discretize the problem domain and then a linear inv erse model is constructed to identify the boundary conditions. The pre sent approach is to rearrange the matrix forms of the differential gov erning equations and estimate unknown conditions. Then, the linear lea st-squares method is adopted to find the solution. The results show th at one needs only a few measuring points in order to estimate the boun dary temperature and heat flux when the measurement errors are negligi ble. When the measurement errors are considerable, more measuring poin ts are needed in order to increase the congruence of the estimated res ults to exact solutions.