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    Lower Bounds to the Critical Rayleigh Number in Completely Confined Regions

    Source: Journal of Applied Mechanics:;1967:;volume( 034 ):;issue: 002::page 308
    Author:
    M. Sherman
    ,
    S. Ostrach
    DOI: 10.1115/1.3607683
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A method is presented for estimating lower bounds to the minimum Rayleigh number that will induce a state of convective motion in a quasi-incompressible (Boussinesq) fluid where the temperature gradient is in the direction of the body force. The fluid is completely confined by fixed-temperature, rigid bounding walls. For any arbitrary region, the critical Rayleigh number is greater than 1558(h/D)4 where h is the maximum dimension of the given region in the direction of the body force and D is the diameter of an equal volume sphere. In certain simple geometrical configurations, improved lower-bound estimates are calculated.
    keyword(s): Rayleigh number , Force , Fluids , Motion , Dimensions , Temperature AND Temperature gradients ,
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      Lower Bounds to the Critical Rayleigh Number in Completely Confined Regions

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    http://yetl.yabesh.ir/yetl1/handle/yetl/116711
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    contributor authorM. Sherman
    contributor authorS. Ostrach
    date accessioned2017-05-08T23:49:44Z
    date available2017-05-08T23:49:44Z
    date copyrightJune, 1967
    date issued1967
    identifier issn0021-8936
    identifier otherJAMCAV-25850#308_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/116711
    description abstractA method is presented for estimating lower bounds to the minimum Rayleigh number that will induce a state of convective motion in a quasi-incompressible (Boussinesq) fluid where the temperature gradient is in the direction of the body force. The fluid is completely confined by fixed-temperature, rigid bounding walls. For any arbitrary region, the critical Rayleigh number is greater than 1558(h/D)4 where h is the maximum dimension of the given region in the direction of the body force and D is the diameter of an equal volume sphere. In certain simple geometrical configurations, improved lower-bound estimates are calculated.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleLower Bounds to the Critical Rayleigh Number in Completely Confined Regions
    typeJournal Paper
    journal volume34
    journal issue2
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3607683
    journal fristpage308
    journal lastpage312
    identifier eissn1528-9036
    keywordsRayleigh number
    keywordsForce
    keywordsFluids
    keywordsMotion
    keywordsDimensions
    keywordsTemperature AND Temperature gradients
    treeJournal of Applied Mechanics:;1967:;volume( 034 ):;issue: 002
    contenttypeFulltext
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