| Issue |
MATEC Web Conf.
Volume 115, 2017
XXXIII Siberian Thermophysical Seminar (STS-33)
|
|
|---|---|---|
| Article Number | 02004 | |
| Number of page(s) | 4 | |
| Section | Chapter 2 Turbulent flows, heat and mass transfer in single-phase flows, heat transfer enhancement | |
| DOI | https://doi.org/10.1051/matecconf/201711502004 | |
| Published online | 10 July 2017 | |
Analytical model of unsteady-state convective heat transfer between the heat carrier and the finite sizes plate adjusted for the thermal relaxation
1 Kazan Research Center of the RAS, 420111, Lobachevsky str., 2/31, Kazan, Russia
2 Kazan National Research Technical University Tupolev, 420111, Karl Marx str., 10, Kazan, Russia
* Corresponding author: atpp.danila@mail.ru
A hyperbolic boundary value problem of the thermal conduction of a two-dimensional plate with the third kind boundary conditions is formulated. The transient thermal process in the plate is due to the temperature changes of the external medium over time and along the plate length, and also by a multiple step change of the plate surface heat transfer coefficient throughout the transient process. An analytical solution with improved convergence adjusted for thermal relaxation and thermal damping is obtained for the temperature field in the plate.
© The Authors, published by EDP Sciences, 2017
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