Identification of time-dependent coefficients of heat transfer by the method of suboptimal stage-by-stage optimization

An inverse heat conduction problem (IHCP) related to the recovery of time-dependent coefficients of heat transfer on the tube surface by the data of temperature measurement at two inner points of the tube is considered. Heat transfer is described by the initial boundary-value problem for 1D nonlinea...

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Bibliographic Details
Published in:International journal of heat and mass transfer 2013-04, Vol.59, p.286-294
Main Authors: Borukhov, V.T., Kostyukova, O.I.
Format: Article
Language:English
Subjects:
Conduction
Heat conduction
Heat transfer
Heat transfer coefficient
Inverse
Inverse problem
Mass transfer
Mathematical analysis
Nonlinear heat conduction equation
Numerical simulation
Optimization
Stage-by-stage optimization
Tikhonov regularization
Tubes
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Summary:An inverse heat conduction problem (IHCP) related to the recovery of time-dependent coefficients of heat transfer on the tube surface by the data of temperature measurement at two inner points of the tube is considered. Heat transfer is described by the initial boundary-value problem for 1D nonlinear heat conduction equation. To solve the posed IHCP a modified method of suboptimal stage-by-stage optimization (SSO) that allows one to process the input data in a real time mode is presented. Based on the computational experiment a conclusion is drawn that SSO possesses a regularization property in terms of A.N. Tikhonov.
ISSN:0017-9310
1879-2189
DOI:10.1016/j.ijheatmasstransfer.2012.12.029