Freezing-controlled penetration of a saturated liquid into a cold tube

M. Epstein, A. Yim, Fan-bill B. Cheung

    Research output: Contribution to journalArticle

    16 Citations (Scopus)

    Abstract

    The penetration of a saturated liquid (a liquid at its freezing temperature) into a tube that is initially empty and maintained at a temperature below the freezing temperature of the liquid is treated theoretically and experimentally. A convenient approximate method is introduced which involves postulating a reasonable functional form for the instantaneous shape of the frozen layer along the tube wall. Graphical velocity-time and penetration distance-time curves are presented displaying the principal effects of a single dimensionless parameter. In the limit of negligible liquid inertia, shown to be relevant to high Prandtl number materials, a closed-form expression for the liquid penetration length is obtained. The expression compares well with the experimental results.

    Original languageEnglish (US)
    Pages (from-to)233-238
    Number of pages6
    JournalJournal of Heat Transfer
    Volume99
    Issue number2
    DOIs
    StatePublished - Jan 1 1977

    Fingerprint

    Freezing
    freezing
    penetration
    tubes
    Liquids
    liquids
    Prandtl number
    inertia
    Temperature
    temperature
    curves

    All Science Journal Classification (ASJC) codes

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

    Cite this

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    abstract = "The penetration of a saturated liquid (a liquid at its freezing temperature) into a tube that is initially empty and maintained at a temperature below the freezing temperature of the liquid is treated theoretically and experimentally. A convenient approximate method is introduced which involves postulating a reasonable functional form for the instantaneous shape of the frozen layer along the tube wall. Graphical velocity-time and penetration distance-time curves are presented displaying the principal effects of a single dimensionless parameter. In the limit of negligible liquid inertia, shown to be relevant to high Prandtl number materials, a closed-form expression for the liquid penetration length is obtained. The expression compares well with the experimental results.",
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    Freezing-controlled penetration of a saturated liquid into a cold tube. / Epstein, M.; Yim, A.; Cheung, Fan-bill B.

    In: Journal of Heat Transfer, Vol. 99, No. 2, 01.01.1977, p. 233-238.

    Research output: Contribution to journalArticle

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    AB - The penetration of a saturated liquid (a liquid at its freezing temperature) into a tube that is initially empty and maintained at a temperature below the freezing temperature of the liquid is treated theoretically and experimentally. A convenient approximate method is introduced which involves postulating a reasonable functional form for the instantaneous shape of the frozen layer along the tube wall. Graphical velocity-time and penetration distance-time curves are presented displaying the principal effects of a single dimensionless parameter. In the limit of negligible liquid inertia, shown to be relevant to high Prandtl number materials, a closed-form expression for the liquid penetration length is obtained. The expression compares well with the experimental results.

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