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

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Abstract

A 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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ACKNOWLEDGMENTS

The authors are grateful to Academician V.A. Levin for encouraging this study.

Funding

This work was supported in part by the Program “Far East” 2018–2020 (project no. 18-5-064) and by the Presidium of the Russian Academy of Sciences, program no. 27 “Fundamental difficulties in solving complicated application problems with the help of supercomputers.” Computing resources were provided by the Shared Facility Center “Far Eastern computational resource” of the Institute for Automation and Control Processes of the Far Eastern Branch of the Russian Academy of Sciences.

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Authors and Affiliations

  1. Institute for Automation and Control Processes, Far Eastern Branch, Russian Academy of Sciences, 690041, Vladivostok, Russia

    N. A. Lutsenko & S. S. Fetsov

  2. Far Eastern Federal University, 690091, Vladivostok, Russia

    N. A. Lutsenko & S. S. Fetsov

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  1. N. A. Lutsenko
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  2. S. S. Fetsov
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Correspondence to N. A. Lutsenko or S. S. Fetsov.

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Lutsenko, N.A., Fetsov, S.S. Numerical Simulation of Two-Dimensional Gas Flows through Granular Phase Change Materials. Comput. Math. and Math. Phys. 61, 480–493 (2021). https://doi.org/10.1134/S096554252103012X

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  • DOI: https://doi.org/10.1134/S096554252103012X

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