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Numerical Simulation of Two-Dimensional Gas Flows through Granular Phase Change Materials

Authors
  • Lutsenko, N. A.1, 2
  • Fetsov, S. S.1, 2
  • 1 Institute for Automation and Control Processes, Far Eastern Branch, Russian Academy of Sciences, Vladivostok, 690041, Russia , Vladivostok (Russia)
  • 2 Far Eastern Federal University, Vladivostok, 690091, Russia , Vladivostok (Russia)
Type
Published Article
Journal
Computational Mathematics and Mathematical Physics
Publisher
Pleiades Publishing
Publication Date
Mar 01, 2021
Volume
61
Issue
3
Pages
480–493
Identifiers
DOI: 10.1134/S096554252103012X
Source
Springer Nature
Keywords
License
Yellow

Abstract

AbstractA mathematical model and a numerical method for studying two-dimensional plane gas flows through thermal accumulators based on granular or capsular phase change materials (PCMs) are proposed. The considered objects are modeled as porous media with phase transitions occurring in the condensed component. The study is based on methods of heterogeneous continuum mechanics without detailing the processes inside individual particles. The proposed numerical method combines explicit and implicit finite-difference schemes. The method is described in detail, and its convergence is experimentally analyzed. The heating of smoothly narrowing and smoothly expanding thermal accumulators consisting of granular PCM is studied. It is shown that heating in such objects near the inclined walls occurs more slowly than in their central part even in the absence of heat transfer through the sidewalls.

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