- Tytuł:
- Non-linear unsteady inverse boundary problem for heat conduction equation
- Autorzy:
-
Joachimiak, M.
Ciałkowski, M. - Powiązania:
- https://bibliotekanauki.pl/articles/239945.pdf
- Data publikacji:
- 2017
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
inverse problem
sensitivity of solution to inverse problem
application of Chebyshev polynomials
zagadnienie odwrotne
wrażliwość rozwiązania
wielomiany Czebyszewa
zastosowanie - Opis:
- 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.
- Źródło:
-
Archives of Thermodynamics; 2017, 38, 2; 81-100
1231-0956
2083-6023 - Pojawia się w:
- Archives of Thermodynamics
- Dostawca treści:
- Biblioteka Nauki
Artykuł