Periodic growth and decay of a frozen crust over a heat generating liquid layer

    Research output: Contribution to journalArticle

    7 Citations (Scopus)

    Abstract

    A theoretical investigation is made of thermal oscillations in a horizontal layer of liquid heated at high Rayleigh number from within and cooled to freezing from above. The processes of turbulent thermal convection in the liquid layer and transient heat conduction in the solidified layer are modeled and the conditions leading to periodic self-sustained oscillations are identified. The results of this study indicate that there are five independent parameters that control the oscillatory behavior of the system. Effects of these parameters on the behavior of the transient liquid temperature and the instantaneous crust thickness are obtained and discussed. Validity of the present approach is justified based upon the higher-order solutions.

    Original languageEnglish (US)
    Pages (from-to)369-375
    Number of pages7
    JournalJournal of Heat Transfer
    Volume103
    Issue number2
    DOIs
    StatePublished - Jan 1 1981

    Fingerprint

    crusts
    heat
    Liquids
    decay
    liquids
    oscillations
    Rayleigh number
    Heat conduction
    free convection
    Freezing
    conductive heat transfer
    freezing
    Hot Temperature
    Temperature
    temperature
    Convection

    All Science Journal Classification (ASJC) codes

    • Materials Science(all)
    • Condensed Matter Physics
    • Mechanics of Materials
    • Mechanical Engineering

    Cite this

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    title = "Periodic growth and decay of a frozen crust over a heat generating liquid layer",
    abstract = "A theoretical investigation is made of thermal oscillations in a horizontal layer of liquid heated at high Rayleigh number from within and cooled to freezing from above. The processes of turbulent thermal convection in the liquid layer and transient heat conduction in the solidified layer are modeled and the conditions leading to periodic self-sustained oscillations are identified. The results of this study indicate that there are five independent parameters that control the oscillatory behavior of the system. Effects of these parameters on the behavior of the transient liquid temperature and the instantaneous crust thickness are obtained and discussed. Validity of the present approach is justified based upon the higher-order solutions.",
    author = "Cheung, {Fan-bill B.}",
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    Periodic growth and decay of a frozen crust over a heat generating liquid layer. / Cheung, Fan-bill B.

    In: Journal of Heat Transfer, Vol. 103, No. 2, 01.01.1981, p. 369-375.

    Research output: Contribution to journalArticle

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    T1 - Periodic growth and decay of a frozen crust over a heat generating liquid layer

    AU - Cheung, Fan-bill B.

    PY - 1981/1/1

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    N2 - A theoretical investigation is made of thermal oscillations in a horizontal layer of liquid heated at high Rayleigh number from within and cooled to freezing from above. The processes of turbulent thermal convection in the liquid layer and transient heat conduction in the solidified layer are modeled and the conditions leading to periodic self-sustained oscillations are identified. The results of this study indicate that there are five independent parameters that control the oscillatory behavior of the system. Effects of these parameters on the behavior of the transient liquid temperature and the instantaneous crust thickness are obtained and discussed. Validity of the present approach is justified based upon the higher-order solutions.

    AB - A theoretical investigation is made of thermal oscillations in a horizontal layer of liquid heated at high Rayleigh number from within and cooled to freezing from above. The processes of turbulent thermal convection in the liquid layer and transient heat conduction in the solidified layer are modeled and the conditions leading to periodic self-sustained oscillations are identified. The results of this study indicate that there are five independent parameters that control the oscillatory behavior of the system. Effects of these parameters on the behavior of the transient liquid temperature and the instantaneous crust thickness are obtained and discussed. Validity of the present approach is justified based upon the higher-order solutions.

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