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Experimental study of flow separation in laminar falling liquid films

Published online by Cambridge University Press:  18 September 2009

GEORG F. DIETZE*
Affiliation:
Institute of Heat and Mass Transfer, RWTH Aachen University, Aachen 52056, Germany
F. AL-SIBAI
Affiliation:
Institute of Heat and Mass Transfer, RWTH Aachen University, Aachen 52056, Germany
R. KNEER
Affiliation:
Institute of Heat and Mass Transfer, RWTH Aachen University, Aachen 52056, Germany
*
Present address: Institute of Heat and Mass Transfer, 18 Eilfschornsteinstrasse, Aachen, Germany. Email address for correspondence: dietze@wsa.rwth-aachen.de

Abstract

In a previous publication, Dietze, Leefken & Kneer (J. Fluid Mech., vol. 595, 2008, p. 435) showed that flow separation takes place in the capillary wave region of falling liquid films. That investigation focused on the mechanistic explanation of the phenomenon mainly on the basis of numerical data. The present publication for the first time provides clear experimental evidence of the phenomenon obtained by way of highly resolving velocity measurements in a specifically designed optical test set-up. Characteristically, the refractive index of the working fluid was matched to that of the glass test section to provide optimal access to the cross-section of the film for the employed optical velocimetry techniques, namely, laser doppler velocimetry (LDV) and particle image velocimetry (PIV). Using LDV, time traces of the streamwise velocity component were recorded in high spatial (0.025 mm) and temporal resolutions (0.4 ms) showing negative velocity values in the capillary wave region. In addition, simultaneous film thickness measurements were performed using a Confocal Chromatic Imaging (CCI) technique enabling the correlation of velocity data and wave dynamics. Further, using PIV the spatio-temporal evolution of the velocity field in the cross-section of the film was measured with high spatial (0.02 mm) and temporal (0.5 ms) resolutions yielding insight into the topology of the flow. Most importantly these results clearly show the existence of a separation eddy in the capillary wave region. Due to the high temporal resolution of the PIV measurements, enabled by the use of a high-speed camera with a repetition rate of up to 4500 Hz, the effect of wave dynamics on the velocity field in all regions of the wavy film was elucidated. All experiments were performed using a dimethylsulfoxide (DMSO)–water solution and focused on laminar vertically falling liquid films with externally excited monochromatic surface waves. Systematic variations of both the Reynolds number (Re = 8.6–15.0) and the excitation frequency (f = 16–24 Hz) were performed. Results show that an increase in the wavelength of large wave humps, produced either by an increase in the Reynolds number or a decrease in the excitation frequency, leads to an increase in the size of the capillary separation eddy (CSE). Thereby, the CSE is shown to grow larger than the local film thickness, assuming an open shape with streamlines ending at the free surface.

Type
Papers
Copyright
Copyright © Cambridge University Press 2009

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References

REFERENCES

Adomeit, P., Leefken, A. & Renz, U. 2000 Experimental and numerical investigations on wavy films. In Proceedings of the 3rd European Thermal Sciences Conference (ed. Hahne, E. W. P., Heidemann, W. K. & Spindler, K.), vol. 2, pp. 10031009. Heidelberg. ETS.Google Scholar
Adomeit, P. & Renz, U. 2000 Hydrodynamics of three-dimensional waves in laminar falling films. Intl J. Multiphase Flow 26, 11831208.CrossRefGoogle Scholar
Albrecht, H. E., Borys, M., Damaschke, N. & Tropea, C. 2003 Laser Doppler and Phase Doppler Measurement Techniques. Springer.CrossRefGoogle Scholar
Alekseenko, S. V., Antipin, V. A., Bobylev, A. V. & Markovich, D. M. 2007 Application of PIV to velocity measurements in a liquid film flowing down an inclined cylinder. Exp. Fluids 43 (2–3), 197207.CrossRefGoogle Scholar
Alekseenko, S. V., Nakoryakov, V. E. & Pokusaev, B. G. 1994 Wave Flow of Liquid Films. Begell House Inc.CrossRefGoogle Scholar
Budwig, R. 1994 Refractive index matching methods for liquid flow investigations. Exp. Fluids 17, 350355.CrossRefGoogle Scholar
Chang, H. C. & Demekhin, E. A. 2002 Complex Wave Dynamics on thin Films. Studies in Interface Science, vol. 14. Elsevier.Google Scholar
Cohen-Sabban, J., Gaillard-Groleas, J. & Crepin, P.-J. 2001 Quasi-confocal extended field surface sensing. In Proceedings of SPIE (ed. Duparre, A. & Singh, B.), Optical Metrology Roadmap for the Semiconductor, Optical, and Data Storage Industries II, vol. 4449, pp. 178183. SPIE.Google Scholar
Dietze, G. F., Leefken, A. & Kneer, R. 2008 Investigation of the back flow phenomenon in falling liquid films. J. Fluid Mech. 595, 435459.CrossRefGoogle Scholar
Elsässer, A. 1998 Kraftstoffaufbereitung in Verbrennungskraftmaschinen: Grundlagen der Strömung schubspannungsgetriebener Wandfilme. PhD thesis, Technische Universität Karlsruhe.Google Scholar
Gao, D., Morley, N. B. & Dhir, V. 2003 Numerical simulation of wavy falling film flow using VOF method. J. Comput. Phys. 192, 624642.CrossRefGoogle Scholar
Green, S. I. 1996 Fluid Vortices, chapter 1, p. 22. Kluwer Academic Publishers.Google Scholar
Hjelmfelt, A. T. & Mockros, L. F. 1966 Motion of discrete particles in a turbulent fluid. Appl. Sci. Res. 16, 149161.CrossRefGoogle Scholar
Kapitza, P. L. 1948 Wave flow of thin layers of a viscous fluid (in Russian). Zhurn. Eksper. Teor. Fiz. 3 (1), 328.Google Scholar
Kunugi, T. & Kino, C. 2005 DNS of falling film structure and heat transfer via MARS method. Comp. Struct. 83 (6–7), 455462.CrossRefGoogle Scholar
Kunugi, T., Kino, C. & Serizawa, A. 2005 Surface wave structure and heat transfer of vertical liquid film flow with artificial oscillation. In 5th International Symposium on Multiphase Flow, Heat Mass Transfer and Energy Conversion. Article no. 71. Xi'an, China.Google Scholar
Leefken, A., Al-Sibai, F. & Renz, U. 2004 LDV measurement of the velocity distribution in periodic waves of laminar falling films. In Proceedings of the 5th International Conference on Multiphase Flow. Article no. 520. Yokohama, Japan.Google Scholar
Lel, V. V., Al-Sibai, F. & Leefken, A. 2005 Local thickness and wave velocity measurement of wavy films with a chromatic confocal imaging method and a fluorescence intensity technique. Exp. Fluids 39 (5), 856864.CrossRefGoogle Scholar
Liu, J., Paul, J. D. & Gollub, J. P. 1993 Measurements of the primary instabilities of film flows. J. Fluid Mech. 250, 69101.CrossRefGoogle Scholar
Luff, J. D., Drouillard, T., Rompage, A. M., Linne, M. A. & Hertzberg, J. R. 1999 Experimental uncertainties associated with particle image velocimetry (PIV) based vorticity algorithms. Exp. Fluids 26, 3654.CrossRefGoogle Scholar
Lundgren, T. & Koumoutsakos, P. 1999 On the generation of vorticity at a free surface. J. Fluid Mech. 382, 351366.CrossRefGoogle Scholar
Malamataris, N. A. & Balakotaiah, V. 2008 Flow structure underneath the large amplitude waves of a vertically falling film. AIChE J. 54 (7), 17251740.CrossRefGoogle Scholar
Miyara, A. 1999 Numerical analysis on flow dynamics and heat transfer of falling liquid films with interfacial waves. Heat Mass Transfer 35, 298306.CrossRefGoogle Scholar
Morton, B. R. 1984 The generation and decay of vorticity. Geophys. Astrophys. Fluid Dyn. 28, 277308.CrossRefGoogle Scholar
Mudawar, I. & Houpt, R. A. 1993 a Mass and momentum transport in smooth falling liquid films laminarized at relatively high Reynolds numbers. Intl J. Heat Mass Transfer 36 (14), 34373448.CrossRefGoogle Scholar
Mudawar, I. & Houpt, R. A. 1993 b Measurement of mass and momentum transport in wavy-laminar falling liquid films. Intl J. Heat Mass Transfer 36 (17), 41514162.CrossRefGoogle Scholar
Mudunuri, R. R. & Balakotaiah, V. 2006 Solitary waves on thin falling films in the very low forcing frequency limit. AIChE J. 52 (12), 39954003.CrossRefGoogle Scholar
Nosoko, P., Yoshimura, P. N., Nagata, T. & Oyakawa, K. 1996 Characteristics of two-dimensional waves on a falling liquid film. Chem. Engng Sci. 51 (5), 725732.CrossRefGoogle Scholar
Nusselt, W. 1916 Die Oberflächenkondensation des Wasserdampfes. VDI-Zeitschrift 60, 541546.Google Scholar
Portalski, S. 1964 Eddy formation in film flow down a vertical plate. Ind. Engng Chem. Fundam. 3 (1), 4953.CrossRefGoogle Scholar
Raffel, M., Willert, C., Wereley, S. & Kompenhans, J. 2007 Particle Image Velocimetry: A Practical Guide, 2nd edn. Springer-Verlag.CrossRefGoogle Scholar
Rood, E. P. 1994 Interpreting vortex interactions with a free surface. J. Fluids Engng 116, 9194.CrossRefGoogle Scholar
Scheid, B., Ruyer-Quil, C. & Manneville, P. 2006 Wave patterns in film flows: modelling and three-dimensional waves. J. Fluid Mech. 562, 183222.CrossRefGoogle Scholar
Tihon, J., Serifi, K., Argyriadi, K. & Bontozoglou, V. 2006 Solitary waves on inclined films: their characteristics and the effects on wall shear stress. Exp. Fluids 41, 7989.CrossRefGoogle Scholar
Trevelyan, P. M. J., Scheid, B., Ruyer-Quil, C. & Kalliadasis, S. 2007 Heated falling films. J. Fluid Mech. 592, 295334.CrossRefGoogle Scholar
Westerweel, J. 1994 Efficient detection of spurious vectors in particle image velocimetry data. Exp. Fluids 16, 236247.CrossRefGoogle Scholar
Wu, J.-Z. 1995 A theory of three-dimensional interfacial vorticity dynamics. Phys. Fluids 7 (10), 23752395.CrossRefGoogle Scholar