Non-linear unsteady inverse boundary problem for heat conduction equation

• Autorzy: Joachimiak M. , Ciałkowski M.

Identyfikatory

DOI

10.1515/aoter-2017-0011

• Języki publikacji: EN

Abstrakty

EN

Direct 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.

Słowa kluczowe

EN

inverse problem; sensitivity of solution to inverse problem; application of Chebyshev polynomials

PL

zagadnienie odwrotne; wrażliwość rozwiązania; wielomiany Czebyszewa; zastosowanie

• Wydawca: Wydawnictwo Instytutu Maszyn Przepływowych PAN ; Komitet Termodynamiki i Spalania PAN
• Czasopismo: Archives of Thermodynamics
• Rocznik: 2017
• Tom: Vol. 38, no. 2
• Strony: 81--100
• Opis fizyczny: Bibliogr. 24 poz., rys., tab., wz.

Twórcy

autor

Joachimiak M.

• Poznań University of Technology, Chair of Thermal Engineering, Piotrowo 3, 60-965 Poznań

autor

Ciałkowski M.

• Poznań University of Technology, Chair of Thermal Engineering, Piotrowo 3, 60-965 Poznań

Bibliografia

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