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On the stability of rivulet flow

  • P. Schmuki (a1) (a2) and M. Laso (a1)

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.

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Corresponding author

Author to whom correspondence should be addressed. Present address: Institut für Polymere, Swiss Federal Institute of Technology, CH-8092 Zürich, Switzerland.

References

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Allen, R. F. & Biggin, C. M. 1974 Longitudinal flow of a lenticular liquid filament down an inclined plane. Phys. Fluids 17(2), 287291.
Bankoff, S. G. 1971 Minimum thickness of a draining film. J. Heat Mass Transfer 14, 21432146.
Benjamin, T. B. 1957 Wave formation in laminar flow down an inclined plane. J. Fluid Mech. 2, 554574.
Blake, T. D. & Haynes, J. M. 1973 Contact angle hysteresis. Prog. Surface Membrane Sci. 6, 125138.
Doniec, A. 1984 Laminar flow of a liquid down a vertical solid surface. Maximum thickness of liquid rivulet. PhysicoChem. Hydrodyn. 5(2), 143152.
Doniec, A. 1988 Flow of a laminar film down a vertical surface. Chem. Engng Sci. 43(4), 847854.
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, 120.
Gorycki, M. A. 1973 Hydraulic drag: a meander-initiating mechanism. Bull. Geol. Soc. Am. 84, 175186.
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, 10031015.
Hobler, T. & Czajka, J. 1968 Minimum wetting rate of a flat surface. Chemia Stosow. 2B, 169186.
Kern, J. 1969 Zur Hydrodynamik der Rinnsale. Verfahrenstechnik 3(10), 425430.
Mikielewicz, J. & Moszynski, J. R. 1976 Minimum thickness of a liquid film flowing vertically down a solid surface. J. Heat Mass Transfer 19, 771776.
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), 440444.
Nakagawa, T. 1982 On role of discharge in sinuosity of stream on a smooth plate. Naturwissenschaften 69, 142.
Nakagawa, T. & Scott, J. C. 1984 Stream meanders on a smooth hydrophobic surface. J. Fluid Mech. 149, 8999.
Nusselt, W. 1916 Die Oberflächenkondensation des Wasserdampfes. Z. Verein deutscher Ingenieure 60, 541.
Tanner, W. F. 1960 Helicoidal flow, a possible cause of meandering. J. Geophys. Res. 63(3), 993.
Towell, G. D. & Rothfeld, L. B. 1966 Hydrodynamics of rivulet flow. AIChE J. 12(5), 972.
Yih, C.-S. 1963 Stability of liquid flow down an inclined plane. Phys. Fluids 6(3), 321334.
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On the stability of rivulet flow

  • P. Schmuki (a1) (a2) and M. Laso (a1)

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