| Issue |
ESAIM: M2AN
Volume 55, Number 2, March-April 2021
|
|
|---|---|---|
| Page(s) | 627 - 658 | |
| DOI | https://doi.org/10.1051/m2an/2021008 | |
| Published online | 31 March 2021 | |
Mathematical model of heat transfer through a conductive pipe*
Department of Mathematics, University of Zagreb, Bijenička Cesta 30, 10000 Zagreb, Croatia
** Corresponding author: tambaca@math.hr
Received:
11
August
2020
Accepted:
5
February
2021
The standard engineer’s model for heat transfer between the fluid flowing through the pipe and the exterior medium neglects the effects of the pipe’s wall. The goal of this paper is to prove that they are not always negligible. Comparing the ratio between diffusivities of the fluid and the wall with the wall’s thickness, using rigorous asymptotic analysis, we find five different models for effective description of the heat exchange process.
Mathematics Subject Classification: 35B40 / 35Q79 / 35J25
Key words: Asymptotic analysis / two-scale convergence / convection-diffusion equation / mathematical modeling / heat transfer
© EDP Sciences, SMAI 2021
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