Nondestructive evaluation of spatially varying internal heat transfer coefficients in a tube

•Explicit formula for heat transfer coefficient in helical-coiled cylindrical tubes.•Tube thin-wallness allows using thin plate approximation and perturbation theory.•The heat transfer coefficient is a McLaurin series in powers of the tube thickness.•The method is validated on simulated data and rea...

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Bibliographic Details
Published in:International journal of heat and mass transfer 2017-05, Vol.108, p.90-96
Main Authors: Inglese, Gabriele, Olmi, Roberto
Format: Article
Language:English
Subjects:
80A20
Heat equation
Inverse problems
Nondestructive evaluation
Thin plate approximation 65M32
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Summary:•Explicit formula for heat transfer coefficient in helical-coiled cylindrical tubes.•Tube thin-wallness allows using thin plate approximation and perturbation theory.•The heat transfer coefficient is a McLaurin series in powers of the tube thickness.•The method is validated on simulated data and real data taken from the literature. We derive a rule for the reconstruction of the internal heat transfer coefficient hint of a pipe, from temperature maps collected on the external face. The pipe is subjected to internal heating by connecting two electrodes to the external surface. To estimate hint we apply the perturbation theory to a thin plate approximation of a boundary value problem for the stationary heat equation.
ISSN:0017-9310
1879-2189
DOI:10.1016/j.ijheatmasstransfer.2016.12.001