Pt. Hsu et al., SIMULTANEOUSLY ESTIMATING THE INITIAL AND BOUNDARY-CONDITIONS IN A 2-DIMENSIONAL HOLLOW CYLINDER, International journal of heat and mass transfer, 41(1), 1998, pp. 219-227
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.