Stability of the Newtonian Film Flow Down an Oscillating Inclined Plane. II. The Related Orr-Sommerfeld-Floquet Problems in a Long-Wave Asymptote up to 3rd Order

0166073 - UCHP-M 20013010 RIV SIGLE CZ eng V - Research Report
Wein, Ondřej - Tihon, Jaroslav
Stability of the Newtonian Film Flow Down an Oscillating Inclined Plane. II. The Related Orr-Sommerfeld-Floquet Problems in a Long-Wave Asymptote up to 3rd Order.
Praha: Ústav chemických procesů AV ČR, 2001. 65 s. 3.
R&D Projects: GA AV ČR IAA4072914
Institutional research plan: CEZ:AV0Z4072921
Keywords : flow instability * oscillating liquid film
Subject RIV: CI - Industrial Chemistry, Chemical Engineering

Linear stability of the film flow along an oscillating inclined plate is analyzed. Following the previous analyses by Yih (1968), Bajkov et al. (1982), Bauer and Kerczek (1991), Lin et al. (1996), the 2D linearized equations (Orr-Sommerfeld-Floquet) of fluctuating motion for a New-tonian fluid are treated. The long-wave (small wave number a ) asymptotic expansion for the complex-valued celerity coefficient, k = k(a) = R c(a), is solved analytically up to the or-der O(a3). In addition to well-known sufficient conditions for the wavy instability of the film under forced oscillation, the basic wave characteristics of the inception region are given: celer-ity, growth rate, and wavelength.
Permanent Link: http://hdl.handle.net/11104/0063219