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Journal of Applied Mechanics and Technical Physics

2021 year, number 4

Optimization analysis of a Two-Dimensional Problem of Design of Highly Effective Thermal Concentrators

G. V. Alekseev1, V. A. Levin2, D. A. Tereshko1
1Institute of Applied Mathematics, Far-East Branch, Russian Academy of Sciences, Vladivostok, Russia
2Institute of Automation and Control Processes, Far-East Branch, Russian Academy of Sciences, Vladivostok, Russia
Keywords: heat flux concentrators, design problems, numerical optimization

Abstract

Inverse problems of design of special shells that serve for concentrating heat fluxes are considered. With the use of an optimization method and geometric discretization, these problems are reduced to finite-dimensional extreme problems, where the thermal conductivity coefficients of the shell sectors play the role of control parameters. The chosen set of control parameters ensures obtaining thermal concentrators, which can be simply implemented and provide high efficiency in the class of devices under consideration.