Development and validation of an analytical formulation of the Nusselt and Sherwood numbers on a partially wetted absorber tube

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    1 Citation (Scopus)

    Abstract

    With reference to a simplified analytical solution of the governing differential equation for falling film absorption, the corresponding formulation of the average Nusselt and Sherwood numbers obtained around a smooth horizontal tube is validated through a dedicated experimental investigation and data from previous literature. The assumption of a linear temperature profile together with the average interfacial mass fraction gradient and the hypotheses of small penetration for physical absorption are applied at the film interface to reach closed analytical expressions of average Nusselt and Sherwood numbers within falling film absorbers and generators. The inclusion of partial-wetting effects brings the results closer to the measurements and widens the applicability of these expressions.

    Original languageEnglish
    Pages (from-to)1-11
    Number of pages11
    JournalScience and Technology for the Built Environment
    DOIs
    Publication statusAccepted/In press - 2018 Mar 5

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    Wetting
    Differential equations
    Temperature

    ASJC Scopus subject areas

    • Environmental Engineering
    • Building and Construction
    • Fluid Flow and Transfer Processes

    Cite this

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    abstract = "With reference to a simplified analytical solution of the governing differential equation for falling film absorption, the corresponding formulation of the average Nusselt and Sherwood numbers obtained around a smooth horizontal tube is validated through a dedicated experimental investigation and data from previous literature. The assumption of a linear temperature profile together with the average interfacial mass fraction gradient and the hypotheses of small penetration for physical absorption are applied at the film interface to reach closed analytical expressions of average Nusselt and Sherwood numbers within falling film absorbers and generators. The inclusion of partial-wetting effects brings the results closer to the measurements and widens the applicability of these expressions.",
    author = "Niccolo Giannetti and Ryosuke Moriwaki and Seiichi Yamaguchi and Kiyoshi Saito",
    year = "2018",
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    T1 - Development and validation of an analytical formulation of the Nusselt and Sherwood numbers on a partially wetted absorber tube

    AU - Giannetti, Niccolo

    AU - Moriwaki, Ryosuke

    AU - Yamaguchi, Seiichi

    AU - Saito, Kiyoshi

    PY - 2018/3/5

    Y1 - 2018/3/5

    N2 - With reference to a simplified analytical solution of the governing differential equation for falling film absorption, the corresponding formulation of the average Nusselt and Sherwood numbers obtained around a smooth horizontal tube is validated through a dedicated experimental investigation and data from previous literature. The assumption of a linear temperature profile together with the average interfacial mass fraction gradient and the hypotheses of small penetration for physical absorption are applied at the film interface to reach closed analytical expressions of average Nusselt and Sherwood numbers within falling film absorbers and generators. The inclusion of partial-wetting effects brings the results closer to the measurements and widens the applicability of these expressions.

    AB - With reference to a simplified analytical solution of the governing differential equation for falling film absorption, the corresponding formulation of the average Nusselt and Sherwood numbers obtained around a smooth horizontal tube is validated through a dedicated experimental investigation and data from previous literature. The assumption of a linear temperature profile together with the average interfacial mass fraction gradient and the hypotheses of small penetration for physical absorption are applied at the film interface to reach closed analytical expressions of average Nusselt and Sherwood numbers within falling film absorbers and generators. The inclusion of partial-wetting effects brings the results closer to the measurements and widens the applicability of these expressions.

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