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    On liquid films on an inclined plate

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    Type
    Article
    Authors
    BENILOV, E. S.
    CHAPMAN, S. J.
    MCLEOD, J. B.
    OCKENDON, J. R.
    ZUBKOV, V. S.
    KAUST Grant Number
    KUK-C1-013-04
    Date
    2010-08-18
    Online Publication Date
    2010-08-18
    Print Publication Date
    2010-11
    Permanent link to this record
    http://hdl.handle.net/10754/599041
    
    Metadata
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    Abstract
    This paper examines two related problems from liquid-film theory. Firstly, a steady-state flow of a liquid film down a pre-wetted plate is considered, in which there is a precursor film in front of the main film. Assuming the former to be thin, a full asymptotic description of the problem is developed and simple analytical estimates for the extent and depth of the precursor film's influence on the main film are provided. Secondly, the so-called drag-out problem is considered, where an inclined plate is withdrawn from a pool of liquid. Using a combination of numerical and asymptotic means, the parameter range where the classical Landau-Levich-Wilson solution is not unique is determined. © 2010 Cambridge University Press.
    Citation
    BENILOV ES, CHAPMAN SJ, MCLEOD JB, OCKENDON JR, ZUBKOV VS (2010) On liquid films on an inclined plate. Journal of Fluid Mechanics 663: 53–69. Available: http://dx.doi.org/10.1017/S002211201000337X.
    Sponsors
    One of the authors (E.S.B.) is grateful for the hospitality of the Oxford Centre for Collaborative Applied Mathematics which hosted his sabbatical, and also acknowledges the support of the Science Foundation Ireland (RFP Grant 08/RFP/MTH1476 and Mathematics Initiative Grant 06/MI/005). This publication was based on work supported in part by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST).
    Publisher
    Cambridge University Press (CUP)
    Journal
    Journal of Fluid Mechanics
    DOI
    10.1017/S002211201000337X
    ae974a485f413a2113503eed53cd6c53
    10.1017/S002211201000337X
    Scopus Count
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