| Issue |
MATEC Web Conf.
Volume 157, 2018
Machine Modelling and Simulations 2017 (MMS 2017)
|
|
|---|---|---|
| Article Number | 08010 | |
| Number of page(s) | 8 | |
| Section | Theoretical and applied mathematics in engineering | |
| DOI | https://doi.org/10.1051/matecconf/201815708010 | |
| Published online | 14 March 2018 | |
Numerical modeling of heat flow between three-dimensional regions in contact problems
1
Czestochowa University of Technology, Faculty of Mechanical Engineering and Computer Science, Institute of Mechanics and Machine Design Fundamentals, Dąbrowskiego 73, 42-201 Częstochowa, Poland
2
Czestochowa University of Technology, Faculty of Mechanical Engineering and Computer Science, Institute of Mathematics, Armii Krajowej 21, 42-201 Częstochowa, Poland
* Corresponding author: t.skrzypczak@imipkm.pcz.pl
The method of numerical modeling of heat transfer between three-dimensional objects being in contact is described in the paper. Presented approach is based on the finite element method (FEM) with independent spatial discretization of considered regions. The gap between external surfaces of the interacting objects has variable width and is filled with gas or liquid. The medium in the gap introduces thermal resistance into heat transfer process. The mathematical model of considered problem is based on the equation of heat diffusion supplemented by the appropriate initial and boundary conditions. The deformations of the regions resulting from the thermally dependent changes of their volumes are also included in the model. The results of numerical simulations are presented and discussed.
Key words: computational mechanics / contact problem / heat transport / finite element method / multi-mesh approach
© The Authors, published by EDP Sciences, 2018
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. (http://creativecommons.org/licenses/by/4.0/).
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