Natural convection in a volumetrically heated fluid layer at high rayleigh numbers

    Research output: Contribution to journalArticle

    36 Citations (Scopus)

    Abstract

    A phenomenological model of eddy heat transport in natural convection with volumetric energy sources at high Rayleigh numbers is developed in this study. The model is applied to the problem of thermal convection in a horizontal heated fluid layer with an adiabatic lower boundary and an isothermal upper wall. A correlation for mean Nusselt numbers is obtained for steady heat transfer. Distributions of the mean turbulent temperature, the eddy heat flux, and production of thermal variance in the heated fluid are presented. The mechanism of turbulent thermal convection at high Rayleigh numbers is discussed. Comparison is made with existing experiments and found to be good.

    Original languageEnglish (US)
    Pages (from-to)499-506
    Number of pages8
    JournalInternational Journal of Heat and Mass Transfer
    Volume20
    Issue number5
    DOIs
    StatePublished - Jan 1 1977

    Fingerprint

    Rayleigh number
    Natural convection
    free convection
    Fluids
    fluids
    vortices
    energy sources
    Nusselt number
    heat flux
    heat transfer
    Heat flux
    heat
    Heat transfer
    Hot Temperature
    temperature
    Experiments
    Temperature
    Convection

    All Science Journal Classification (ASJC) codes

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

    Cite this

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    title = "Natural convection in a volumetrically heated fluid layer at high rayleigh numbers",
    abstract = "A phenomenological model of eddy heat transport in natural convection with volumetric energy sources at high Rayleigh numbers is developed in this study. The model is applied to the problem of thermal convection in a horizontal heated fluid layer with an adiabatic lower boundary and an isothermal upper wall. A correlation for mean Nusselt numbers is obtained for steady heat transfer. Distributions of the mean turbulent temperature, the eddy heat flux, and production of thermal variance in the heated fluid are presented. The mechanism of turbulent thermal convection at high Rayleigh numbers is discussed. Comparison is made with existing experiments and found to be good.",
    author = "Cheung, {Fan-bill B.}",
    year = "1977",
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    doi = "10.1016/0017-9310(77)90096-5",
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    Natural convection in a volumetrically heated fluid layer at high rayleigh numbers. / Cheung, Fan-bill B.

    In: International Journal of Heat and Mass Transfer, Vol. 20, No. 5, 01.01.1977, p. 499-506.

    Research output: Contribution to journalArticle

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    T1 - Natural convection in a volumetrically heated fluid layer at high rayleigh numbers

    AU - Cheung, Fan-bill B.

    PY - 1977/1/1

    Y1 - 1977/1/1

    N2 - A phenomenological model of eddy heat transport in natural convection with volumetric energy sources at high Rayleigh numbers is developed in this study. The model is applied to the problem of thermal convection in a horizontal heated fluid layer with an adiabatic lower boundary and an isothermal upper wall. A correlation for mean Nusselt numbers is obtained for steady heat transfer. Distributions of the mean turbulent temperature, the eddy heat flux, and production of thermal variance in the heated fluid are presented. The mechanism of turbulent thermal convection at high Rayleigh numbers is discussed. Comparison is made with existing experiments and found to be good.

    AB - A phenomenological model of eddy heat transport in natural convection with volumetric energy sources at high Rayleigh numbers is developed in this study. The model is applied to the problem of thermal convection in a horizontal heated fluid layer with an adiabatic lower boundary and an isothermal upper wall. A correlation for mean Nusselt numbers is obtained for steady heat transfer. Distributions of the mean turbulent temperature, the eddy heat flux, and production of thermal variance in the heated fluid are presented. The mechanism of turbulent thermal convection at high Rayleigh numbers is discussed. Comparison is made with existing experiments and found to be good.

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    JF - International Journal of Heat and Mass Transfer

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