Original title: 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
Authors: Wein, Ondřej ; Tihon, Jaroslav
Document type: Research reports
Year: 2001
Language: eng
Abstract: 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.
Keywords: flow instability; oscillating liquid film
Project no.: CEZ:AV0Z4072921 (CEP), IAA4072914 (CEP)
Funding provider: GA AV ČR

Institution: Institute of Chemical Process Fundamentals AS ČR (web)
Document availability information: Fulltext is available at the institute of the Academy of Sciences.
Original record: http://hdl.handle.net/11104/0063219

Permalink: http://www.nusl.cz/ntk/nusl-25116


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