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    Numerical Solutions of the Navier-Stokes Equations in Inlet Regions

    Source: Journal of Applied Mechanics:;1972:;volume( 039 ):;issue: 004::page 873
    Author:
    J. W. McDonald
    ,
    V. E. Denny
    ,
    A. F. Mills
    DOI: 10.1115/1.3422884
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Numerical solutions of the Navier-Stokes equations are obtained for steady two-dimensional flow in the inlet region of both a tube and a channel. The entering flow is considered to be either uniform (u = constant, v = 0) or irrotational (u = constant, ω = 0). Values of Reynolds number Re = u0 a/ν range from 0.75 to 2 × 106 . An improved method for solving the stream function-vorticity equations of hydrodynamics has been developed. The method is stable at all Reynolds numbers and appears to be computationally superior to previous methods.
    keyword(s): Navier-Stokes equations , Flow (Dynamics) , Reynolds number , Hydrodynamics , Channels (Hydraulic engineering) , Vorticity AND Equations ,
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      Numerical Solutions of the Navier-Stokes Equations in Inlet Regions

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/156445
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    • Journal of Applied Mechanics

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    contributor authorJ. W. McDonald
    contributor authorV. E. Denny
    contributor authorA. F. Mills
    date accessioned2017-05-09T01:12:59Z
    date available2017-05-09T01:12:59Z
    date copyrightDecember, 1972
    date issued1972
    identifier issn0021-8936
    identifier otherJAMCAV-25969#873_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/156445
    description abstractNumerical solutions of the Navier-Stokes equations are obtained for steady two-dimensional flow in the inlet region of both a tube and a channel. The entering flow is considered to be either uniform (u = constant, v = 0) or irrotational (u = constant, ω = 0). Values of Reynolds number Re = u0 a/ν range from 0.75 to 2 × 106 . An improved method for solving the stream function-vorticity equations of hydrodynamics has been developed. The method is stable at all Reynolds numbers and appears to be computationally superior to previous methods.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleNumerical Solutions of the Navier-Stokes Equations in Inlet Regions
    typeJournal Paper
    journal volume39
    journal issue4
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3422884
    journal fristpage873
    journal lastpage878
    identifier eissn1528-9036
    keywordsNavier-Stokes equations
    keywordsFlow (Dynamics)
    keywordsReynolds number
    keywordsHydrodynamics
    keywordsChannels (Hydraulic engineering)
    keywordsVorticity AND Equations
    treeJournal of Applied Mechanics:;1972:;volume( 039 ):;issue: 004
    contenttypeFulltext
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