TY - JOUR
T1 - An inverse phonon radiative transport problem in estimating the boundary temperatures for a double-layer nanoscale thin film
AU - Huang, Cheng Hung
AU - Chen, Kuan Yu
N1 - Funding Information:
Received 9 April 2006; accepted 13 October 2006. This work was supported in part by the National Science Council, Republic of China, Grant NSC-94-2611-E-006-021. Address correspondence to Cheng-Hung Huang, Department of Systems and Naval Mechatronic Engineering, National Cheng Kung University, Tainan, Taiwan 701, Republic of China. E-mail: Chhuang@mail.ncku.edu.tu
PY - 2007/1
Y1 - 2007/1
N2 - An iterative regularization method (or conjugate gradient method, CGM) is utilized in the present inverse phonon radiative transport problem in estimating the unknown boundary temperature distributions, based on the phonon intensity measurements, for a double-layer thin-film structure. The CGM in dealing with the present integrodifferential governing equations is not as straightforward as for the normal differential equations; special treatment is needed to overcome the difficulties. Results obtained in this inverse analysis are justified based on numerical experiments in which three different unknown temperature (or phonon intensity) distributions are to be determined. Finally, it is shown that accurate boundary temperatures can always be obtained with the CGM.
AB - An iterative regularization method (or conjugate gradient method, CGM) is utilized in the present inverse phonon radiative transport problem in estimating the unknown boundary temperature distributions, based on the phonon intensity measurements, for a double-layer thin-film structure. The CGM in dealing with the present integrodifferential governing equations is not as straightforward as for the normal differential equations; special treatment is needed to overcome the difficulties. Results obtained in this inverse analysis are justified based on numerical experiments in which three different unknown temperature (or phonon intensity) distributions are to be determined. Finally, it is shown that accurate boundary temperatures can always be obtained with the CGM.
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U2 - 10.1080/10407780601112936
DO - 10.1080/10407780601112936
M3 - Article
AN - SCOPUS:34250891936
VL - 52
SP - 43
EP - 70
JO - Numerical Heat Transfer; Part A: Applications
JF - Numerical Heat Transfer; Part A: Applications
SN - 1040-7782
IS - 1
ER -