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    Fully Developed Laminar Flow in a Stepped Rectangular Channel

    Source: Journal of Applied Mechanics:;1966:;volume( 033 ):;issue: 002::page 438
    Author:
    R. H. Djojodihardjo
    ,
    J. F. Thorpe
    DOI: 10.1115/1.3625062
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The problem considered is that of fully developed, laminar incompressible flow in a stepped rectangular channel. An analytical solution is obtained for the velocity profile by using the variational method. Velocity profiles are computed for a specific case by truncating the series expressions and evaluating the coefficients numerically (Rayleigh-Ritz method). These velocity profiles are compared to those obtained by solving a set of finite difference equations. The solution of the problem provides information for the velocity at a step discontinuity in width between parallel plates and permits an evaluation of one-dimensional methods of attacking the same problem.
    keyword(s): Channels (Hydraulic engineering) , Laminar flow , Plates (structures) , Equations , Rayleigh-Ritz methods AND Flow (Dynamics) ,
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      Fully Developed Laminar Flow in a Stepped Rectangular Channel

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/111256
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    • Journal of Applied Mechanics

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    contributor authorR. H. Djojodihardjo
    contributor authorJ. F. Thorpe
    date accessioned2017-05-08T23:40:12Z
    date available2017-05-08T23:40:12Z
    date copyrightJune, 1966
    date issued1966
    identifier issn0021-8936
    identifier otherJAMCAV-25826#438_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/111256
    description abstractThe problem considered is that of fully developed, laminar incompressible flow in a stepped rectangular channel. An analytical solution is obtained for the velocity profile by using the variational method. Velocity profiles are computed for a specific case by truncating the series expressions and evaluating the coefficients numerically (Rayleigh-Ritz method). These velocity profiles are compared to those obtained by solving a set of finite difference equations. The solution of the problem provides information for the velocity at a step discontinuity in width between parallel plates and permits an evaluation of one-dimensional methods of attacking the same problem.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleFully Developed Laminar Flow in a Stepped Rectangular Channel
    typeJournal Paper
    journal volume33
    journal issue2
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3625062
    journal fristpage438
    journal lastpage440
    identifier eissn1528-9036
    keywordsChannels (Hydraulic engineering)
    keywordsLaminar flow
    keywordsPlates (structures)
    keywordsEquations
    keywordsRayleigh-Ritz methods AND Flow (Dynamics)
    treeJournal of Applied Mechanics:;1966:;volume( 033 ):;issue: 002
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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