Hlavní stránka > Zprávy > Výzkumné zprávy > 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
Název:
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
Autoři:
Wein, Ondřej ; Tihon, Jaroslav Typ dokumentu: Výzkumné zprávy
Rok:
2001
Jazyk:
eng
Abstrakt: 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.
Klíčová slova:
flow instability; oscillating liquid film Číslo projektu: CEZ:AV0Z4072921 (CEP), IAA4072914 (CEP) Poskytovatel projektu: GA AV ČR
Instituce: Ústav chemických procesů AV ČR
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Informace o dostupnosti dokumentu:
Dokument je dostupný v příslušném ústavu Akademie věd ČR. Původní záznam: http://hdl.handle.net/11104/0063219