Abstract

In the paper a solution of the inverse heat conduction problem with the Neumann boundary condition is presented. For finding this solution the homotopy perturbation method is applied. Investigated problem consists in calculation of the temperature distribution in considered domain, as well as in reconstruction of the functions describing the temperature and the heat flux on the boundary, in case when the temperature measurements in some points of the domain are known. An example confirming usefulness of the homotopy perturbation method for solving problems of this kind are also included.

Details

Title
Solution of the inverse heat conduction problem with Neumann boundary condition by using the homotopy perturbation method
Author
Hetmaniok, Edyta; Nowak, Iwona; Słota, Damian; Wituła, Roman; Zielonka, Adam
Pages
643-650
Section
Part one: Analytical methods in non-linear heat transfer and diffusion: A collection of papers presenting and testing capabilities of the recently developed Analytical methods in non-linear heat transfer and diffusion
Publication year
2013
Publication date
2013
Publisher
Society of Thermal Engineers of Serbia
ISSN
0354-9836
e-ISSN
2334-7163
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.2298/TSCI120826051H
ProQuest document ID
2429867843
Copyright
© 2013. This work is licensed under https://creativecommons.org/licenses/by-nc-nd/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.