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    Solution of the Phase Change Stefan Problem With Time-Dependent Heat Flux Using Perturbation Method

    Source: Journal of Heat Transfer:;2019:;volume( 141 ):;issue: 002::page 24503
    Author:
    Parhizi, Mohammad
    ,
    Jain, Ankur
    DOI: 10.1115/1.4041956
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Theoretical understanding of phase change heat transfer problems is of much interest for multiple engineering applications. Exact solutions for phase change heat transfer problems are often not available, and approximate analytical methods are needed to be used. This paper presents a solution for a one-dimensional (1D) phase change problem with time-dependent heat flux boundary condition using the perturbation method. Two different expressions for propagation of the phase change front are derived. For the special case of constant heat flux, the present solution is shown to offer key advantages over past papers. Specifically, the present solution results in greater accuracy and does not diverge at large times unlike past results. The theoretical result is used for understanding the nature of phase change propagation for linear and periodic heat flux boundary conditions. In addition to improving the theoretical understanding of phase change heat transfer problems, these results may contribute toward design of phase change based thermal management for a variety of engineering applications, such as cooling of Li-ion batteries.
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      Solution of the Phase Change Stefan Problem With Time-Dependent Heat Flux Using Perturbation Method

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    http://yetl.yabesh.ir/yetl1/handle/yetl/4256620
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    contributor authorParhizi, Mohammad
    contributor authorJain, Ankur
    date accessioned2019-03-17T11:04:17Z
    date available2019-03-17T11:04:17Z
    date copyright12/13/2018 12:00:00 AM
    date issued2019
    identifier issn0022-1481
    identifier otherht_141_02_024503.pdf
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4256620
    description abstractTheoretical understanding of phase change heat transfer problems is of much interest for multiple engineering applications. Exact solutions for phase change heat transfer problems are often not available, and approximate analytical methods are needed to be used. This paper presents a solution for a one-dimensional (1D) phase change problem with time-dependent heat flux boundary condition using the perturbation method. Two different expressions for propagation of the phase change front are derived. For the special case of constant heat flux, the present solution is shown to offer key advantages over past papers. Specifically, the present solution results in greater accuracy and does not diverge at large times unlike past results. The theoretical result is used for understanding the nature of phase change propagation for linear and periodic heat flux boundary conditions. In addition to improving the theoretical understanding of phase change heat transfer problems, these results may contribute toward design of phase change based thermal management for a variety of engineering applications, such as cooling of Li-ion batteries.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleSolution of the Phase Change Stefan Problem With Time-Dependent Heat Flux Using Perturbation Method
    typeJournal Paper
    journal volume141
    journal issue2
    journal titleJournal of Heat Transfer
    identifier doi10.1115/1.4041956
    journal fristpage24503
    journal lastpage024503-5
    treeJournal of Heat Transfer:;2019:;volume( 141 ):;issue: 002
    contenttypeFulltext
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