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Y. Trifonov (1999)
Viscous liquid film flows over a periodic surfaceInternational Journal of Multiphase Flow, 24
T. Benjamin (1959)
Shearing flow over a wavy boundaryJournal of Fluid Mechanics, 6
W. Tollmien, H. Schlichting, H. Görtler, F. Riegels
Über die Entstehung der Turbulenz
Hsueh-Chia Chang, E. Demekhin (2002)
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C. Boyadjiev (1995)
Wave flow of liquid films: S. V. ALEKSEENKO, V. E. NAKORYAKOV and B. G. POKUSAEV, All-Rusian Inc. “Nauka”, Novosibirsk, 1992, 256 pp.International Journal of Heat and Mass Transfer, 38
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T. Benjamin (1957)
Wave formation in laminar flow down an inclined planeJournal of Fluid Mechanics, 2
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S. Orszag (1971)
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B.G. Pokusaev (1994)
Wave Flow of Liquid Films
Abstract The reaction of the film interface to low-amplitude waviness of the wall was studied. A linearized version of the problem described by the Orr — Sommerfeld equation was considered; the solution was sought by asymptotic expansion in small parameter 1/Re, and usual spectral problem concerning stability to perturbations of exp[iα(x-ct)] type was solved. According to calculations, for some specially chosen wave numbers α the drift and dispersion effects balance each other, providing zero resulting velocity c R = 0. If we assume that a rigid wall is corrugated with the same α, we can say that stationary waves caused by the wavy wall are in resonance with intrinsic perturbations of the second kind.
Thermophysics and Aeromechanics – Springer Journals
Published: Jun 1, 2008
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