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    Surfactant Effects on Fluid-Elastic Instabilities of Liquid-Lined Flexible Tubes: A Model of Airway Closure

    Source: Journal of Biomechanical Engineering:;1993:;volume( 115 ):;issue: 003::page 271
    Author:
    D. Halpern
    ,
    J. B. Grotberg
    DOI: 10.1115/1.2895486
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A theoretical analysis is presented predicting the closure of small airways in the region of the terminal and respiratory bronchioles. The airways are modelled as thin elastic tubes, coated on the inside with a thin viscous liquid lining. This model produces closure by a coupled capillary-elastic instability leading to liquid bridge formation, wall collapse or a combination of both. Nonlinear evolution equations for the film thickness, wall position and surfactant concentration are derived using an extended version of lubrication theory for thin liquid films. The positions of the air-liquid and wall-liquid interfaces and the surfactant concentration are perturbed about uniform states and the stability of these perturbations is examined by solving the governing equations numerically. Solutions show that there is a critical film thickness, dependent on fluid, wall and surfactant properties above which liquid bridges form. The critical film thickness, εc , decreases with increasing mean surface-tension or wall compliance. Surfactant increases εc by as much as 60 percent for physiological conditions, consistent with physiological observations. Airway closure occurs more rapidly with increasing film thickness and wall flexibility. The closure time for a surfactant rich interface can be approximately five times greater than an interface free of surfactant.
    keyword(s): Fluids , Surfactants , Film thickness , Equations , Physiology , Lubrication theory , Theoretical analysis , Linings (Textiles) , Collapse , Stability , Surface tension AND Plasticity ,
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      Surfactant Effects on Fluid-Elastic Instabilities of Liquid-Lined Flexible Tubes: A Model of Airway Closure

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    http://yetl.yabesh.ir/yetl1/handle/yetl/111562
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    • Journal of Biomechanical Engineering

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    contributor authorD. Halpern
    contributor authorJ. B. Grotberg
    date accessioned2017-05-08T23:40:43Z
    date available2017-05-08T23:40:43Z
    date copyrightAugust, 1993
    date issued1993
    identifier issn0148-0731
    identifier otherJBENDY-25919#271_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/111562
    description abstractA theoretical analysis is presented predicting the closure of small airways in the region of the terminal and respiratory bronchioles. The airways are modelled as thin elastic tubes, coated on the inside with a thin viscous liquid lining. This model produces closure by a coupled capillary-elastic instability leading to liquid bridge formation, wall collapse or a combination of both. Nonlinear evolution equations for the film thickness, wall position and surfactant concentration are derived using an extended version of lubrication theory for thin liquid films. The positions of the air-liquid and wall-liquid interfaces and the surfactant concentration are perturbed about uniform states and the stability of these perturbations is examined by solving the governing equations numerically. Solutions show that there is a critical film thickness, dependent on fluid, wall and surfactant properties above which liquid bridges form. The critical film thickness, εc , decreases with increasing mean surface-tension or wall compliance. Surfactant increases εc by as much as 60 percent for physiological conditions, consistent with physiological observations. Airway closure occurs more rapidly with increasing film thickness and wall flexibility. The closure time for a surfactant rich interface can be approximately five times greater than an interface free of surfactant.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleSurfactant Effects on Fluid-Elastic Instabilities of Liquid-Lined Flexible Tubes: A Model of Airway Closure
    typeJournal Paper
    journal volume115
    journal issue3
    journal titleJournal of Biomechanical Engineering
    identifier doi10.1115/1.2895486
    journal fristpage271
    journal lastpage277
    identifier eissn1528-8951
    keywordsFluids
    keywordsSurfactants
    keywordsFilm thickness
    keywordsEquations
    keywordsPhysiology
    keywordsLubrication theory
    keywordsTheoretical analysis
    keywordsLinings (Textiles)
    keywordsCollapse
    keywordsStability
    keywordsSurface tension AND Plasticity
    treeJournal of Biomechanical Engineering:;1993:;volume( 115 ):;issue: 003
    contenttypeFulltext
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