×

zbMATH — the first resource for mathematics

Wavy flow of a liquid film in the presence of a cocurrent turbulent gas flow. (English. Russian original) Zbl 1297.76014
J. Appl. Mech. Tech. Phys. 54, No. 5, 762-772 (2013); translation from Prikl. Mekh. Tekh. Fiz. 54, No. 5, 88-100 (2013).
Summary: Wavy downflow of viscous liquid films in the presence of a cocurrent turbulent gas flow is analyzed theoretically. The parameters of two-dimensional steady-state traveling waves are calculated for wide ranges of liquid Reynolds number and gas flow velocity. The hydrodynamic characteristics of the liquid flow are computed using the full Navier-Stokes equations. The wavy interface is regarded as a small perturbation, and the equations for the gas are linearized in the vicinity of the main turbulent flow. Various optimal film flow regimes are obtained for the calculated nonlinear waves branching from the plane-parallel flow. It is shown that for high velocities of the cocurrent gas flow, the calculated wave characteristics correspond to those of ripple waves observed in experiments.
MSC:
76A20 Thin fluid films
76T10 Liquid-gas two-phase flows, bubbly flows
76F10 Shear flows and turbulence
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] W. Nusselt, ”Die Oberflächenkondensation des Wasserdampfes,” Z. VDI 60, 541–546 (1916).
[2] P. L. Kapitsa, ”Wavy Flow of Thin Layers of a Viscous Liquid,” Zh. Exp. Teor. Fiz. 18(1), 3–28 (1948).
[3] K. I. Chu and A. E. Dukler, ”Statistical Characteristics of Thin, Wavy Films. 2. Studies of the Substrate and Its Wave Structure,” AIChE J. 20, 695–706 (1974).
[4] S. V. Alekseenko, V. E. Nakoryakov, and B. G. Pokusaev, ”Wave Formation on a Vertical Falling Liquid Film,” AIChE J. 31 1446–1460 (1985). · Zbl 0578.76030
[5] J. Liu, J. D. Paul, and J. P. Gollub, ”Measurements of the Primary Instabilities of Film Flow,” J. Fluid Mech. 250, 69–101 (1993).
[6] P. A. Semenov, ”Fluid Flow in Thin Layers,” Zh. Tekh. Fiz., No. 14, 427–437 (1944).
[7] A. Zapke and D. G. Kröger,, ”Counter-Current Gas-Liquid Flow in Inclined and Vertical Ducts. 2. The Validity of the Froude-Ohnesorge Number Correlation for Flooding,” Int. J. Multiphase Flow 26, 1457–1468 (2000). · Zbl 1137.76797
[8] N. A. Vlachos, S. V. Paras, A. A. Mouza, and A. J. Karabelas, ”Visual Observations of Flooding in Narrow Rectangular Channels,” Int. J. Multiphase Flow 27, 1415–1430 (2001). · Zbl 1137.76774
[9] E. I. P. Drosos, S. V. Paras, and A. J. Karabelas, ”Counter-Current Gas-Liquid Flow in a Vertical Narrow Channel-Liquid Film Characteristics and Flooding Phenomena,” Int. J. Multiphase Flow 32, 51–81 (2006). · Zbl 1135.76406
[10] D. E. Woodmansee and T. J. Hanratty, ”Base Film over Which Roll Waves Propagate,” AIChE J. 15, 712–715 (1969).
[11] J. C. Asali and T. J. Hanratty, ”Ripples Generated on a Liquid Film at High Gas Velocities,” Int. J. Multiphase Flow 19, 229–243 (1993). · Zbl 1144.76340
[12] B. J. Azzopardi and P. B. Whalley, ”Artificial Waves in Annular Two-Phase Flow,” in Basic Mechanisms in Two-Phase Flow and Heat Transfer, Ed. by P. Rothe and R. Lahey (ASME, Chicago, 1980).
[13] E. A. Demekhin, G. Yu. Tokarev, and V. Ya. Shkadov, ”Instability and Nonlinear Waves in a Vertical Liquid Film Flowing Countercurrent to Turbulent Gas Flow,” Theor. Osn. Khim. Tekhnol., No. 23, 64–70 (1989).
[14] Yu. Ya. Trifonov, ”Flooding in Two-Phase Counter-Current Flows: Numerical Investigation of the Gas-Liquid Wavy Interface Using the Navier-Stokes Equations,” Int. J. Multiphase Flow 36, 549–557 (2010).
[15] V. V. Guguchkin, E. A. Demekhin, G. N. Kalugin, et al., ”Linear and Nonlinear Stability of the Joint Plane-Parallel Flow of a Liquid Film and a Gas,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 1, 36–42 (1979).
[16] E. A. Demekhin, ”Nonlinear Waves in a Liquid Film Entrained in Turbulent Gas Flow,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 2, 37–42 (1981). · Zbl 0478.76055
[17] S. V. Alekseenko, A. V. Cherdantsev, O. M. Heinz, et al., ”An Image Analysis Method As Applied to Study the Space-Temporal Evolution of Waves in an Annular Gas-Liquid Flow,” Pattern Recog. Image Anal. 21(3), 441–445 (2011).
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.