Yt. Yang et al., A 3-DIMENSIONAL INVERSE HEAT-CONDUCTION PROBLEM APPROACH FOR ESTIMATING THE HEAT-FLUX AND SURFACE-TEMPERATURE OF A HOLLOW CYLINDER, Journal of physics. D, Applied physics, 30(9), 1997, pp. 1326-1333
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.