Natural convection mass transfer along a dissolution boundary layer in an isothermal binary metallic system

S. W. Shiah, B. C. Yang, Fan-bill B. Cheung, Y. C. Shih

    Research output: Contribution to journalArticle

    5 Citations (Scopus)

    Abstract

    The process of dissolution mass transport along a vertical soluble substrate submerged in a large pool of otherwise quiescent molten metal is studied theoretically. Various freestream concentrations varying from zero to a near-saturation value are considered. A mathematical model is developed from the conservation laws and thermodynamic principles, taking full account of the density variation in the dissolution boundary layer due to concentration differences, the influence of the solubility of the substrate on species transfer, and the motion of the solid/liquid interface at the dissolution front. The governing equations are solved by a combined analytical-numerical technique to determine the characteristics of the dissolution boundary layer. Based upon the numerical results, a correlation for the average Sherwood number is obtained. It is found that the Sherwood number depends strongly on the saturated concentration of the substrate at the moving dissolution front and the degree of saturation in the ambient pool.

    Original languageEnglish (US)
    Pages (from-to)3759-3769
    Number of pages11
    JournalInternational Journal of Heat and Mass Transfer
    Volume41
    Issue number23
    StatePublished - Dec 1 1998

    Fingerprint

    Natural convection
    free convection
    mass transfer
    boundary layers
    dissolving
    Boundary layers
    Dissolution
    Mass transfer
    Substrates
    saturation
    liquid-solid interfaces
    conservation laws
    Liquid metals
    Conservation
    mathematical models
    solubility
    Solubility
    Thermodynamics
    Mathematical models
    thermodynamics

    All Science Journal Classification (ASJC) codes

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

    Cite this

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    abstract = "The process of dissolution mass transport along a vertical soluble substrate submerged in a large pool of otherwise quiescent molten metal is studied theoretically. Various freestream concentrations varying from zero to a near-saturation value are considered. A mathematical model is developed from the conservation laws and thermodynamic principles, taking full account of the density variation in the dissolution boundary layer due to concentration differences, the influence of the solubility of the substrate on species transfer, and the motion of the solid/liquid interface at the dissolution front. The governing equations are solved by a combined analytical-numerical technique to determine the characteristics of the dissolution boundary layer. Based upon the numerical results, a correlation for the average Sherwood number is obtained. It is found that the Sherwood number depends strongly on the saturated concentration of the substrate at the moving dissolution front and the degree of saturation in the ambient pool.",
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    Natural convection mass transfer along a dissolution boundary layer in an isothermal binary metallic system. / Shiah, S. W.; Yang, B. C.; Cheung, Fan-bill B.; Shih, Y. C.

    In: International Journal of Heat and Mass Transfer, Vol. 41, No. 23, 01.12.1998, p. 3759-3769.

    Research output: Contribution to journalArticle

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    AU - Shiah, S. W.

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    AB - The process of dissolution mass transport along a vertical soluble substrate submerged in a large pool of otherwise quiescent molten metal is studied theoretically. Various freestream concentrations varying from zero to a near-saturation value are considered. A mathematical model is developed from the conservation laws and thermodynamic principles, taking full account of the density variation in the dissolution boundary layer due to concentration differences, the influence of the solubility of the substrate on species transfer, and the motion of the solid/liquid interface at the dissolution front. The governing equations are solved by a combined analytical-numerical technique to determine the characteristics of the dissolution boundary layer. Based upon the numerical results, a correlation for the average Sherwood number is obtained. It is found that the Sherwood number depends strongly on the saturated concentration of the substrate at the moving dissolution front and the degree of saturation in the ambient pool.

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