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Dynamics of the Wavy Film Down an Inclined Plane. V. Newtonian Orr-Sommerfeld Problem Revisited

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    0166074 - UCHP-M 20013011 RIV SIGLE CZ eng V - Research Report
    Wein, Ondřej - Tihon, Jaroslav
    Dynamics of the Wavy Film Down an Inclined Plane. V. Newtonian Orr-Sommerfeld Problem Revisited.
    Praha: Ústav chemických procesů AV ČR, 2001. 25 s. 7.
    R&D Projects: GA AV ČR IAA4072914
    Institutional research plan: CEZ:AV0Z4072921
    Keywords : liquid film flow * Non-Newtonian fluid * flow instability
    Subject RIV: CI - Industrial Chemistry, Chemical Engineering

    Linear stability of the Newtonian film flow along an inclined plate is studied by treating the related 2D linearized equations of fluctuating motion (Orr-Sommerfeld). Quadratic character of the Orr-Sommerfeld (OS) equations and the corresponding multiplicity of solution (the regular and singular branch) is demonstrated. Region of validity of both the long-wave (20 terms) and short-wave (4 terms) analytic asymptotes to the regular branch is estimated by comparing it with numerical solution to the full Orr-Sommerfeld problem. In particular, the c1-stability criterion of the regular long-wave asymptote is confirmed. In addition to the basic wave characteristics of the inception region (celerity, growth rate, wavelength), the characteristics of the fluctuating wall shear rate are given.
    Permanent Link: http://hdl.handle.net/11104/0063220

     
     

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