TY - JOUR
T1 - Estimation of heat flux on the surface of an initially hot cylinder cooled by a laminar confined impinging jet
AU - Chen, Wen Lih
N1 - Funding Information:
This work was supported by the National Science Council, Taiwan, Republic of China , under the Grant Nos. NSC 99-2221-E-168-029 .
PY - 2012/1/31
Y1 - 2012/1/31
N2 - In this study, an inverse algorithm based on the conjugate gradient method and the discrepancy principle is applied to estimate the unknown space-and time-dependent heat flux at the surface of an initially hot cylinder cooled by a laminar confined slot impinging jet from the knowledge of temperature measurements taken on the cylinder's surface. It is assumed that no prior information is available on the functional form of the unknown heat flux; hence the procedure is classified as the function estimation in inverse calculation. The temperature data obtained from the direct problem are used to simulate the temperature measurements, and the effect of the errors in these measurements upon the precision of the estimated results is also considered. The results show that an excellent estimation on the space-and time-dependent heat flux can be obtained even the distributions of thermal properties inside the cylinder is unknown.
AB - In this study, an inverse algorithm based on the conjugate gradient method and the discrepancy principle is applied to estimate the unknown space-and time-dependent heat flux at the surface of an initially hot cylinder cooled by a laminar confined slot impinging jet from the knowledge of temperature measurements taken on the cylinder's surface. It is assumed that no prior information is available on the functional form of the unknown heat flux; hence the procedure is classified as the function estimation in inverse calculation. The temperature data obtained from the direct problem are used to simulate the temperature measurements, and the effect of the errors in these measurements upon the precision of the estimated results is also considered. The results show that an excellent estimation on the space-and time-dependent heat flux can be obtained even the distributions of thermal properties inside the cylinder is unknown.
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U2 - 10.1016/j.ijheatmasstransfer.2011.10.052
DO - 10.1016/j.ijheatmasstransfer.2011.10.052
M3 - Article
AN - SCOPUS:82955203842
SN - 0017-9310
VL - 55
SP - 597
EP - 606
JO - International Journal of Heat and Mass Transfer
JF - International Journal of Heat and Mass Transfer
IS - 4
ER -