High-performance numerical method for searching the effective thermal conductivity of media with inhomogeneous macrostructure

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详细

When solving engineering problems, it is often necessary to know the physical properties of porous media with complex internal structure. In this paper we propose a technique for numerical modeling of heat conduction of this kind of bodies including non-conducting circular inclusions. This technique allows to calculate temperature fields and heat fluxes, as well as other parameters necessary for applications. One of such parameters demanded by practice is the effective thermal conductivity, which depends on the volume content of thermally insulated pores and their mutual location. The basis of the above studies is the indirect boundary element method proposed in this paper, based on pre-calculated analytical solutions, on which the decomposition is performed. In order to verify the developed methods, a comparison with the results of other authors is given in the paper. It showed a fairly good agreement.

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作者简介

A. Zvyagin

M.V. Lomonosov Moscow State University

编辑信件的主要联系方式.
Email: zvsasha@rambler.ru
俄罗斯联邦, Moscow

A. Udalov

M.V. Lomonosov Moscow State University; Scientific Research Institute for System Analysis RAS

Email: udalets@inbox.ru
俄罗斯联邦, Moscow; Moscow

参考

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  9. Zvyagin A.V., Udalov A.S. A displacement discontinuity method of high-order accuracy in fracture mechanics // Moscow Univ. Mech. Bull., 2020, V. 75, pp. 153–159. https://doi.org/10.3103/S0027133020060060
  10. Zvyagin A.V., Udalov A.S., Shamina A.A. Boundary element method for investigating large systems of cracks using the Williams asymptotic series // Acta Astron., 2022, vol. 194, pp. 480–487.
  11. Zvyagin A.V., Udalov A.S., Shamina A.A. Numerical modeling of heat conduction in bodies with cracks // Acta Astron., 2023, vol. 214, pp. 196–201.
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2. Fig. 1. The considered configuration of the medium

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3. Fig. 2. Analytical and numerical results of the temperature field of the verification problem

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4. Fig. 3. Dependence of the effective thermal conductivity coefficient on porosity

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