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Solution of inverse heat conduction problem using the Tikhonov regularization method

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Abstract

It is hard to solve ill-posed problems, as calculated temperatures are very sensitive to errors made while calculating “measured” temperatures or performing real-time measurements. The errors can create temperature oscillation, which can be the cause of an unstable solution. In order to overcome such difficulties, a variety of techniques have been proposed in literature, including regularization, future time steps and smoothing digital filters. In this paper, the Tikhonov regularization is applied to stabilize the solution of the inverse heat conduction problem. The impact on the inverse solution stability and accuracy is demonstrated.

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Abbreviations

c :

specific heat, J/(kgK)

k :

thermal conductivity, W/(mK)

t :

time, s

T :

temperature, °C or K

q :

heat flux, W/m2

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Authors and Affiliations

  1. Institute of Thermal Power Engineering, Cracow University of Technology al. Jana Pawła II 37, 31-864, Kraków, Poland

    Piotr Duda

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  1. Piotr Duda
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Duda, P. Solution of inverse heat conduction problem using the Tikhonov regularization method. J. Therm. Sci. 26, 60–65 (2017). https://doi.org/10.1007/s11630-017-0910-2

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  • DOI: https://doi.org/10.1007/s11630-017-0910-2

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