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- W2766755321 abstract "We derive an explicit reconstruction formula for the heat flux on the internal surface of a duct based on external temperature data. With the heat flux at hand we determine the internal convective heat transfer coefficient. Technically, by determining explicitly the singular system of a compact operator and assuming noise-free data, the heat flux is expressed as an infinite singular value expansion, whereas for noisy data, the truncated expansion is used as regularized solution. An error bound is derived for the case where the truncation parameter is determined by the Morozov's discrepancy principle. The method has high flexibility in that it is readily adapted to the finite data case without any substantial modification. Moreover, it does not require any linear system solver and it is therefore easy to implement and extremely inexpensive when compared to existing heat transfer coefficient estimation techniques. The method is illustrated by means of numerical results using both synthetic and experimental data." @default.
- W2766755321 created "2017-11-10" @default.
- W2766755321 creator A5047988614 @default.
- W2766755321 creator A5083034389 @default.
- W2766755321 date "2017-11-17" @default.
- W2766755321 modified "2023-09-25" @default.
- W2766755321 title "Identification of heat transfer coefficient through linearization: explicit solution and approximation" @default.
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- W2766755321 doi "https://doi.org/10.1088/1361-6420/aa97c1" @default.
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