| Issue |
MATEC Web Conf.
Volume 286, 2019
14th Congress of Mechanics (CMM2019)
|
|
|---|---|---|
| Article Number | 08009 | |
| Number of page(s) | 3 | |
| Section | Heat Transfers, Mass Transfers, Renewable Energies and Environment | |
| DOI | https://doi.org/10.1051/matecconf/201928608009 | |
| Published online | 14 August 2019 | |
Numerical Study Of Thermal Behavior Of Anisotropic Medium In Bidirectional Cylindrical Geometry
Laboratory of Mechanics, Faculty of Science Aîn Chock, University Hassan II, Casablanca 20100, Morocco
In this work, we investigate the transient thermal analysis of two-dimensional cylindrical anisotropic medium subjected to a prescribed temperature at the two end sections and to a heat flux over the whole lateral surface. Due to the complexity of analytically solving the anisotropic heat conduction equation, a numerical solution has been developed. It is based on a coordinate transformation that reduces the anisotropic cylinder heat conduction problem to an equivalent isotropic one, without complicating the boundary conditions but with a more complicated geometry. The equation of heat conduction for this virtual medium is solved by the alternating directions method. The inverse transformation makes it possible to determine the thermal behavior of the anisotropic medium as a function of study parameters: diagonal and cross thermal conductivities, heat flux.
Key words: Anisotropic medium / transient heat conduction / coordinates transformation.
© The Authors, published by EDP Sciences, 2019
This is an open access article distributed under the terms of the Creative Commons Attribution License 4.0 (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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