local heat flows density numerical simulation in two-phase composite materials
Journal Title: Вісник Одеської державної академії будівництва та архітектури - Year 2018, Vol 1, Issue 72
Abstract
The local heat flows density statistical distributions obtained as a result of heat transfer process numerical modeling in two-dimensional models of two-component composite materials with occasional placement of heat-insulating inclusions were studied. The inclusions placement parameters influence the way of local heat flows in the composite material and, as a consequence, its effective thermal conductivity. The subject of the study was the influence of the inclusions size and the packing density represented by the minimum distance between them on the local heat flows density distribution modes characteristics. To form two-dimensional models of a composite material, the Monte Carlo method was used. Calculation of local heat flows density was carried out by numerical solution of the heat transfer equation by the finite difference method. The obtained local heat flows density distributions were analyzed in connection with inclusions placement maps. It was found that depending on the concentration of inclusions, their dimensions and packing density, in local heat flows density statistical distributions from 3 to 5 modes associated with the passage of heat flows through different characteristic areas of a two-component composite can be determined. Material areas in which local heat flows occur, belonging to different distribution modes, were identified. It is shown that modes number of the local heat flows density statistical distribution for different values of inclusions placement parameters is conditioned by the influence of some inclusions on the conditions for the passage of local heat flows nearby other inclusions at certain packing densities. The obtained results are important for the development of the statistical theory of composite materials thermal conductivity and should be supplemented by a study of local heat flows directions statistical distribution in the future.
Authors and Affiliations
Ya. A. , Maksimeniuk, I. V. , Zaginaylo, A. S. , Shchyotkina, K. A. , Kozachenko
Keywords
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