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    Inertia Effects in Thin Film Flow With a Corrugated Boundary

    Source: Journal of Applied Mechanics:;1991:;volume( 058 ):;issue: 001::page 272
    Author:
    Ilter Serbetci
    ,
    John A. Tichy
    DOI: 10.1115/1.2897163
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: An analytical solution is presented for two-dimensional, incompressible film flow between a sinusoidally grooved (or rough) surface and a flat surface. The upper grooved surface is stationary whereas the lower, smooth surface moves with a constant speed, The Navier-Stokes equations were solved employing both mapping techniques and perturbation expansions. Due to the inclusion of the inertia effects, a different pressure distribution is obtained than predicted by the classical lubrication theory. In particular, the amplitude of the pressure distribution of the classical lubrication theory is found to be in error by over 100 percent (for modified Reynolds number of 3–4).
    keyword(s): Thin films , Flow (Dynamics) , Inertia (Mechanics) , Pressure , Lubrication theory , Reynolds number , Surface roughness , Navier-Stokes equations , Errors AND Film flow ,
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      Inertia Effects in Thin Film Flow With a Corrugated Boundary

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    http://yetl.yabesh.ir/yetl1/handle/yetl/108119
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    contributor authorIlter Serbetci
    contributor authorJohn A. Tichy
    date accessioned2017-05-08T23:34:46Z
    date available2017-05-08T23:34:46Z
    date copyrightMarch, 1991
    date issued1991
    identifier issn0021-8936
    identifier otherJAMCAV-26330#272_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/108119
    description abstractAn analytical solution is presented for two-dimensional, incompressible film flow between a sinusoidally grooved (or rough) surface and a flat surface. The upper grooved surface is stationary whereas the lower, smooth surface moves with a constant speed, The Navier-Stokes equations were solved employing both mapping techniques and perturbation expansions. Due to the inclusion of the inertia effects, a different pressure distribution is obtained than predicted by the classical lubrication theory. In particular, the amplitude of the pressure distribution of the classical lubrication theory is found to be in error by over 100 percent (for modified Reynolds number of 3–4).
    publisherThe American Society of Mechanical Engineers (ASME)
    titleInertia Effects in Thin Film Flow With a Corrugated Boundary
    typeJournal Paper
    journal volume58
    journal issue1
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2897163
    journal fristpage272
    journal lastpage277
    identifier eissn1528-9036
    keywordsThin films
    keywordsFlow (Dynamics)
    keywordsInertia (Mechanics)
    keywordsPressure
    keywordsLubrication theory
    keywordsReynolds number
    keywordsSurface roughness
    keywordsNavier-Stokes equations
    keywordsErrors AND Film flow
    treeJournal of Applied Mechanics:;1991:;volume( 058 ):;issue: 001
    contenttypeFulltext
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