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Non-linear unsteady inverse boundary problem for heat conduction equation

Non-linear unsteady inverse boundary problem for heat conduction equation AbstractDirect and inverse problems for unsteady heat conduction equation for a cylinder were solved in this paper. Changes of heat conduction coefficient and specific heat depending on the temperature were taken into consideration. To solve the non-linear problem, the Kirchhoff’s substitution was applied. Solution was written as a linear combination of Chebyshev polynomials. Sensitivity of the solution to the inverse problem with respect to the error in temperature measurement and thermocouple installation error was analysed. Temperature distribution on the boundary of the cylinder, being the numerical example presented in the paper, is similar to that obtained during heating in the nitrification process. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Archives of Thermodynamics de Gruyter

Non-linear unsteady inverse boundary problem for heat conduction equation

Archives of Thermodynamics , Volume 38 (2): 20 – Jun 27, 2017

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Publisher
de Gruyter
Copyright
© Polish Academy of Sciences
ISSN
2083-6023
eISSN
2083-6023
DOI
10.1515/aoter-2017-0011
Publisher site
See Article on Publisher Site

Abstract

AbstractDirect and inverse problems for unsteady heat conduction equation for a cylinder were solved in this paper. Changes of heat conduction coefficient and specific heat depending on the temperature were taken into consideration. To solve the non-linear problem, the Kirchhoff’s substitution was applied. Solution was written as a linear combination of Chebyshev polynomials. Sensitivity of the solution to the inverse problem with respect to the error in temperature measurement and thermocouple installation error was analysed. Temperature distribution on the boundary of the cylinder, being the numerical example presented in the paper, is similar to that obtained during heating in the nitrification process.

Journal

Archives of Thermodynamicsde Gruyter

Published: Jun 27, 2017

References