The effects of heat generation and wall interaction on freezing and melting in a finite slab

Fan-bill B. Cheung, T. C. Chawla, D. R. Pedersen

    Research output: Contribution to journalArticle

    31 Citations (Scopus)

    Abstract

    The processes of freezing and melting occurring in a heat-generating slab bounded by two semi-infinite cold walls is studied numerically. The method of collocation is employed to solve the various sets of governing equations describing the unsteady behavior of the system during different periods of time. Depending on the rate of internal heat generation and the thermal properties of the wall and the slab, several changes may take place in the system. These changes, as indicated by the transient locations of the solid-liquid interface, include transitions from freezing directly to melting, from freezing to cooling without phase change, from cooling to heating without phase change, and from heating to melting. Numerical predictions of the occurrence of these transitions, the rates of freezing and melting, and the duration of the transients are obtained as functions of several controlling dimensionless parameters of the system. Comparison is made with the case of a heat-generating sphere to further explore the effect of system geometry.

    Original languageEnglish (US)
    Pages (from-to)29-37
    Number of pages9
    JournalInternational Journal of Heat and Mass Transfer
    Volume27
    Issue number1
    DOIs
    StatePublished - Jan 1 1984

    Fingerprint

    heat generation
    Heat generation
    Freezing
    freezing
    Melting
    slabs
    melting
    interactions
    Cooling
    cold walls
    cooling
    Heating
    heat
    heating
    collocation
    liquid-solid interfaces
    Thermodynamic properties
    thermodynamic properties
    occurrences
    Geometry

    All Science Journal Classification (ASJC) codes

    • Condensed Matter Physics
    • Mechanical Engineering
    • Fluid Flow and Transfer Processes

    Cite this

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    title = "The effects of heat generation and wall interaction on freezing and melting in a finite slab",
    abstract = "The processes of freezing and melting occurring in a heat-generating slab bounded by two semi-infinite cold walls is studied numerically. The method of collocation is employed to solve the various sets of governing equations describing the unsteady behavior of the system during different periods of time. Depending on the rate of internal heat generation and the thermal properties of the wall and the slab, several changes may take place in the system. These changes, as indicated by the transient locations of the solid-liquid interface, include transitions from freezing directly to melting, from freezing to cooling without phase change, from cooling to heating without phase change, and from heating to melting. Numerical predictions of the occurrence of these transitions, the rates of freezing and melting, and the duration of the transients are obtained as functions of several controlling dimensionless parameters of the system. Comparison is made with the case of a heat-generating sphere to further explore the effect of system geometry.",
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    The effects of heat generation and wall interaction on freezing and melting in a finite slab. / Cheung, Fan-bill B.; Chawla, T. C.; Pedersen, D. R.

    In: International Journal of Heat and Mass Transfer, Vol. 27, No. 1, 01.01.1984, p. 29-37.

    Research output: Contribution to journalArticle

    TY - JOUR

    T1 - The effects of heat generation and wall interaction on freezing and melting in a finite slab

    AU - Cheung, Fan-bill B.

    AU - Chawla, T. C.

    AU - Pedersen, D. R.

    PY - 1984/1/1

    Y1 - 1984/1/1

    N2 - The processes of freezing and melting occurring in a heat-generating slab bounded by two semi-infinite cold walls is studied numerically. The method of collocation is employed to solve the various sets of governing equations describing the unsteady behavior of the system during different periods of time. Depending on the rate of internal heat generation and the thermal properties of the wall and the slab, several changes may take place in the system. These changes, as indicated by the transient locations of the solid-liquid interface, include transitions from freezing directly to melting, from freezing to cooling without phase change, from cooling to heating without phase change, and from heating to melting. Numerical predictions of the occurrence of these transitions, the rates of freezing and melting, and the duration of the transients are obtained as functions of several controlling dimensionless parameters of the system. Comparison is made with the case of a heat-generating sphere to further explore the effect of system geometry.

    AB - The processes of freezing and melting occurring in a heat-generating slab bounded by two semi-infinite cold walls is studied numerically. The method of collocation is employed to solve the various sets of governing equations describing the unsteady behavior of the system during different periods of time. Depending on the rate of internal heat generation and the thermal properties of the wall and the slab, several changes may take place in the system. These changes, as indicated by the transient locations of the solid-liquid interface, include transitions from freezing directly to melting, from freezing to cooling without phase change, from cooling to heating without phase change, and from heating to melting. Numerical predictions of the occurrence of these transitions, the rates of freezing and melting, and the duration of the transients are obtained as functions of several controlling dimensionless parameters of the system. Comparison is made with the case of a heat-generating sphere to further explore the effect of system geometry.

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