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    Viscous Thin-Film Flow Over a Round-Crested Weir

    Source: Journal of Fluids Engineering:;1999:;volume( 121 ):;issue: 003::page 673
    Author:
    Kenneth J. Ruschak
    ,
    Steven J. Weinstein
    DOI: 10.1115/1.2823522
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Gravity-driven flow over a round-crested weir is analyzed for viscous flow. An equation for the entire flow profile is obtained by simplifying the equations for slowly varying film thickness, assuming a velocity profile, and integrating across the film. Solution of the resulting first order, ordinary differential equation requires a boundary condition generated at a critical point of the flow, beyond which waves cannot propagate upstream. Results for the relationship between head and flow rate are consolidated on a dimensionless master curve represented by an empirical equation.
    keyword(s): Thin films , Flow (Dynamics) , Equations , Film thickness , Gravity (Force) , Waves , Viscous flow , Differential equations AND Boundary-value problems ,
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      Viscous Thin-Film Flow Over a Round-Crested Weir

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/122337
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    contributor authorKenneth J. Ruschak
    contributor authorSteven J. Weinstein
    date accessioned2017-05-09T00:00:01Z
    date available2017-05-09T00:00:01Z
    date copyrightSeptember, 1999
    date issued1999
    identifier issn0098-2202
    identifier otherJFEGA4-27142#673_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/122337
    description abstractGravity-driven flow over a round-crested weir is analyzed for viscous flow. An equation for the entire flow profile is obtained by simplifying the equations for slowly varying film thickness, assuming a velocity profile, and integrating across the film. Solution of the resulting first order, ordinary differential equation requires a boundary condition generated at a critical point of the flow, beyond which waves cannot propagate upstream. Results for the relationship between head and flow rate are consolidated on a dimensionless master curve represented by an empirical equation.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleViscous Thin-Film Flow Over a Round-Crested Weir
    typeJournal Paper
    journal volume121
    journal issue3
    journal titleJournal of Fluids Engineering
    identifier doi10.1115/1.2823522
    journal fristpage673
    journal lastpage677
    identifier eissn1528-901X
    keywordsThin films
    keywordsFlow (Dynamics)
    keywordsEquations
    keywordsFilm thickness
    keywordsGravity (Force)
    keywordsWaves
    keywordsViscous flow
    keywordsDifferential equations AND Boundary-value problems
    treeJournal of Fluids Engineering:;1999:;volume( 121 ):;issue: 003
    contenttypeFulltext
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