| Issue |
MATEC Web Conf.
Volume 76, 2016
20th International Conference on Circuits, Systems, Communications and Computers (CSCC 2016)
|
|
|---|---|---|
| Article Number | 04034 | |
| Number of page(s) | 5 | |
| Section | Computers | |
| DOI | https://doi.org/10.1051/matecconf/20167604034 | |
| Published online | 21 October 2016 | |
Mathematical Model of Non-stationary Heat Conduction in the Wall: Asymmetric Problem with the Boundary Conditions of Imperfect Heat Transfer
1 Tomas Bata University in Zlín, Faculty of Applied Informatics, Regional Research Centre CEBIA-Tech, nám. T. G. Masaryka 5555, 760 01 Zlín, Czech Republic
2 Tomas Bata University in Zlín, Faculty of Applied Informatics, Department of Automation and Control Engineering, nám. T. G. Masaryka 5555, 760 01 Zlín, Czech Republic
a e-mail: charvatova@fai.utb.cz
This paper deals with the study of a non-stationary heat conduction in the solid wall. It is focused on mathematical modelling of its asymmetric heating and cooling by imperfect heat transfer to both sides of the wall. It describes method used for deriving of the long time analytical solution describing temperature distribution in the heated (cooled) wall by use Laplace transform and verification of its validity by numerical calculation with COMSOL Multiphysics software. In the tested example, the maximum difference between analytical and numerical solution was about 3.5 % considering the possible maximum and minimum temperatures in the wall under the given conditions.
© The Authors, published by EDP Sciences, 2016
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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