Abstract
Inverse problems for the two-dimensional heat transfer model that arise in the development of technologies of designing thermal concentrators are considered. Using an optimization method, these problems are reduced to finite-dimensional extremum problems, which are solved using particle swarm optimization. It is shown that the concentrators designed with the help of the optimization method are simple for implementation and have the maximum efficiency in the class of devices under consideration.
Similar content being viewed by others
REFERENCES
J. B. Pendry, D. Schurig, and D. R. Smith, Science 312, 1780 (2006).
S. Guenneau, C. Amra, and D. Veynante, Opt. Express 20, 8207 (2012).
T. Han and C.-W. Qiu, Opt. 18, 044003 (2016).
V. D. Fachinotti, A. A. Ciarbonetti, I. Peralta, et al., Int. J. Therm. Sci. 128, 38 (2018).
I. Peralta, V. D. Fachinotti, and A. A. Ciarbonetti, Sci. Rep. 7, 40591.
G. V. Alekseev, V. A. Levin, and D. A. Tereshko, Dokl. Phys. 62, 71–75 (2017).
G. V. Alekseev, V. A. Levin, and D. A. Tereshko, J. Appl. Mech. Tech. Phys. 60, 323 (2019).
G. V. Alekseev and D. A. Tereshko, Int. J. Heat Mass Transfer 135, 1269 (2019).
R. Poli, J. Kennedy, and T. Blackwell, Swarm Intel. 1, 33 (2007).
F. Chen and D. Y. Lei, Sci. Rep. 5, 11552 (2015).
G. Xu, X. Zhou, and J. Zhang, Int. J. Heat Mass Transfer 142, 118434 (2019).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated by E. Chernokozhin
Rights and permissions
About this article
Cite this article
Alekseev, G.V., Levin, V.A. & Tereshko, D.A. Designing Heat Concentrators of the Highest Efficiency Using an Optimization Method. Dokl. Phys. 65, 115–118 (2020). https://doi.org/10.1134/S1028335820030039
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1028335820030039