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    Wave Motion in Multilayered Liquid Films

    Source: Journal of Applied Mechanics:;1978:;volume( 045 ):;issue: 001::page 25
    Author:
    A. F. M. Akhtaruzzaman
    ,
    C. K. Wang
    ,
    S. P. Lin
    DOI: 10.1115/1.3424269
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The governing equation of the linear interfacial wave motion in an n -layered liquid film, which possesses n degree of freedoms, flowing steadily down an inclined plane is obtained. The effects of density, viscosity, and thickness variations on the various modes of wave motion are elucidated with aid of some numerical experiments for a three-layered system. It is found that the wave speed of the interfacial mode is much smaller than that of the free-surface mode. The interfaces seem to oscillate in phase for the free-surface mode but can be either out-of-phase or in-phase for the interfacial modes. It is shown that a limited control of wave speeds can be achieved by adjusting the variation in thickness, viscosity, and density of each layer.
    keyword(s): Wave motion , Liquid films , Thickness , Density , Viscosity , Waves AND Equations ,
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      Wave Motion in Multilayered Liquid Films

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/90782
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    contributor authorA. F. M. Akhtaruzzaman
    contributor authorC. K. Wang
    contributor authorS. P. Lin
    date accessioned2017-05-08T23:04:22Z
    date available2017-05-08T23:04:22Z
    date copyrightMarch, 1978
    date issued1978
    identifier issn0021-8936
    identifier otherJAMCAV-26087#25_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/90782
    description abstractThe governing equation of the linear interfacial wave motion in an n -layered liquid film, which possesses n degree of freedoms, flowing steadily down an inclined plane is obtained. The effects of density, viscosity, and thickness variations on the various modes of wave motion are elucidated with aid of some numerical experiments for a three-layered system. It is found that the wave speed of the interfacial mode is much smaller than that of the free-surface mode. The interfaces seem to oscillate in phase for the free-surface mode but can be either out-of-phase or in-phase for the interfacial modes. It is shown that a limited control of wave speeds can be achieved by adjusting the variation in thickness, viscosity, and density of each layer.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleWave Motion in Multilayered Liquid Films
    typeJournal Paper
    journal volume45
    journal issue1
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3424269
    journal fristpage25
    journal lastpage31
    identifier eissn1528-9036
    keywordsWave motion
    keywordsLiquid films
    keywordsThickness
    keywordsDensity
    keywordsViscosity
    keywordsWaves AND Equations
    treeJournal of Applied Mechanics:;1978:;volume( 045 ):;issue: 001
    contenttypeFulltext
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