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    Direct verification of the lubrication force on a sphere travelling through a viscous film upon approach to a solid wall

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    Type
    Article
    Authors
    Marston, Jeremy
    Wang, Yong
    Thoroddsen, Sigurdur T cc
    KAUST Department
    High-Speed Fluids Imaging Laboratory
    Mechanical Engineering Program
    Physical Science and Engineering (PSE) Division
    Date
    2010-05-21
    Online Publication Date
    2010-05-21
    Print Publication Date
    2010-07
    Permanent link to this record
    http://hdl.handle.net/10754/561535
    
    Metadata
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    Abstract
    Experiments were performed to observe the motion of a solid sphere approaching a solid wall through a thin layer of a viscous liquid. We focus mainly on cases where the ratio of the film thickness, ℘, to the sphere diameter, D, is in the range 0.03 ℘</D < 0.09 and the Stokes number, St, a measure of the sphere inertia to viscous forces, is below a critical level Stc so that the spheres do not rebound and escape from the liquid layer. This provides us with the scope to verify the force acting on the sphere, derived from lubrication theory. Using high-speed video imaging we show, for the first time, that the equations of motion based on the lubrication approximation correctly describe the deceleration of the sphere when St < Stc. Furthermore, we show that the penetration depth at which the sphere motion is first arrested by the viscous force, which decreases with increasing Stokes number, matches well with theoretical predictions. An example for a shear-thinning liquid is also presented, showing that this simple set-up may be used to deduce the short-time dynamical behaviour of non-Newtonian liquids. © 2010 Cambridge University Press.
    Citation
    MARSTON, J. O., YONG, W., & THORODDSEN, S. T. (2010). Direct verification of the lubrication force on a sphere travelling through a viscous film upon approach to a solid wall. Journal of Fluid Mechanics, 655, 515–526. doi:10.1017/s0022112010001266
    Publisher
    Cambridge University Press (CUP)
    Journal
    Journal of Fluid Mechanics
    DOI
    10.1017/S0022112010001266
    ae974a485f413a2113503eed53cd6c53
    10.1017/S0022112010001266
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; Mechanical Engineering Program

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