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

0166074 - UCHP-M 20013011 RIV SIGLE CZ eng V - Výzkumná zpráva
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.
Grant CEP: GA AV ČR IAA4072914
Výzkumný záměr: CEZ:AV0Z4072921
Klíčová slova: liquid film flow * Non-Newtonian fluid * flow instability
Kód oboru RIV: CI - Průmyslová chemie a chemické inženýrství

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.
Trvalý link: http://hdl.handle.net/11104/0063220