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On the stability of rivulet flow

Published online by Cambridge University Press:  26 April 2006

P. Schmuki  and
M. Laso
P. Schmuki
Affiliation:
Absorption Technology, Sulzer Brothers Limited, CH-8401 Winterthur, Switzerland Present address: Institut für Werkstoffchemie und Korrosion, Swiss Federal Institute of Technology, CH-8093 Zürich, Switzerland.
M. Laso
Affiliation:
Absorption Technology, Sulzer Brothers Limited, CH-8401 Winterthur, Switzerland
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Abstract

The aim of the present work is to investigate the existence regions of the different flow patterns exhibited by a liquid flowing down an inclined plane for a wide range of physical properties of the fluid (particularly surface tension and viscosity which were found to have the greatest influence). A model that predicts the decay frequency of oscillating or pendulum rivulets is presented. From this model, a stability criterion for the onset of oscillating rivulet flow is derived. Although the model does not contain any freely adjustable parameters, it shows good agreement with experimental measurements of rivulet decay frequency and of the transition point to pendulum rivulet. The transitions between different flow regimes are expected to cause drastic changes in heat and mass transfer rates between the liquid and the solid surface or between the liquid and the surrounding gaseous phase.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 215 , June 1990 , pp. 125 - 143
Copyright
© 1990 Cambridge University Press

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References

Allen, R. F. & Biggin, C. M. 1974 Longitudinal flow of a lenticular liquid filament down an inclined plane. Phys. Fluids 17(2), 287–291.Google Scholar
Bankoff, S. G. 1971 Minimum thickness of a draining film. J. Heat Mass Transfer 14, 2143–2146.Google Scholar
Benjamin, T. B. 1957 Wave formation in laminar flow down an inclined plane. J. Fluid Mech. 2, 554–574.Google Scholar
Blake, T. D. & Haynes, J. M. 1973 Contact angle hysteresis. Prog. Surface Membrane Sci. 6, 125–138.Google Scholar
Doniec, A. 1984 Laminar flow of a liquid down a vertical solid surface. Maximum thickness of liquid rivulet. PhysicoChem. Hydrodyn. 5(2), 143–152.Google Scholar
Doniec, A. 1988 Flow of a laminar film down a vertical surface. Chem. Engng Sci. 43(4), 847–854.Google Scholar
Dussan, V. E. B. 1985 On the ability of drops or bubbles to stick to non-horizontal surfaces of solids. Part 2. Small drops of bubbles having contact angles of arbitrary size. J. Fluid Mech. 151, 1–20.CrossRefGoogle Scholar
Gorycki, M. A. 1973 Hydraulic drag: a meander-initiating mechanism. Bull. Geol. Soc. Am. 84, 175–186.Google Scholar
Hartley, D. E. & Murgatroyd, W. 1964 Criteria for the break-up of thin liquid layers flowing isothermally over solid surfaces. J. Heat Mass Transfer, 7, 1003–1015.Google Scholar
Hobler, T. & Czajka, J. 1968 Minimum wetting rate of a flat surface. Chemia Stosow. 2B, 169–186.Google Scholar
Kern, J. 1969 Zur Hydrodynamik der Rinnsale. Verfahrenstechnik 3(10), 425–430.Google Scholar
Mikielewicz, J. & Moszynski, J. R. 1976 Minimum thickness of a liquid film flowing vertically down a solid surface. J. Heat Mass Transfer 19, 771–776.Google Scholar
Munakata, T., Watanabe, K. & Miyashita, K. 1975 Minimum wetting rate on wetted-wall column. Correlation over wide range of liquid viscosity. J. Chem. Engng Japan 8(6), 440–444.Google Scholar
Nakagawa, T. 1982 On role of discharge in sinuosity of stream on a smooth plate. Naturwissenschaften 69, 142.Google Scholar
Nakagawa, T. & Scott, J. C. 1984 Stream meanders on a smooth hydrophobic surface. J. Fluid Mech. 149, 89–99.Google Scholar
Nusselt, W. 1916 Die Oberflächenkondensation des Wasserdampfes. Z. Verein deutscher Ingenieure 60, 541.Google Scholar
Tanner, W. F. 1960 Helicoidal flow, a possible cause of meandering. J. Geophys. Res. 63(3), 993.Google Scholar
Towell, G. D. & Rothfeld, L. B. 1966 Hydrodynamics of rivulet flow. AIChE J. 12(5), 972.Google Scholar
Yih, C.-S. 1963 Stability of liquid flow down an inclined plane. Phys. Fluids 6(3), 321–334.Google Scholar