On the stability of rivulet flow

We 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

[1]  Chia-Shun Yih,et al.  Stability of Liquid Flow down an Inclined Plane , 1963 .

[2]  L. B. Rothfeld,et al.  Hydrodynamics of rivulet flow , 1966 .

[3]  R. F. Allen,et al.  Longitudinal flow of a lenticular liquid filament down an inclined plane , 1974 .

[4]  W. Murgatroyd,et al.  CRITERIA FOR THE BREAK-UP OF THIN LIQUID LAYERS FLOWING ISOTHERMALLY OVER SOLID SURFACES. Nuclear Engineering Laboratory Memorandum Q 5 , 1961 .

[5]  Kazunori Watanabe,et al.  MINIMUM WETTING RATE ON WETTED-WALL COLUMN , 1975 .

[6]  M. A. Gorycki.  Hydraulic Drag: A Meander-Initiating Mechanism , 1973 .

[7]  W. F. Tanner.  Helicoidal flow, a possible cause of meandering , 1960 .

[8]  D. v..  On the ability of drops or bubbles to stick to non-horizontal surfaces of solids. Part 2. Small drops or bubbles having contact angles of arbitrary size , 1985, Journal of Fluid Mechanics.

[9]  Terence Desmond Blake,et al.  Contact-Angle Hysteresis , 1973 .

[10]  T. Brooke Benjamin,et al.  Wave formation in laminar flow down an inclined plane , 1957, Journal of Fluid Mechanics.

[11]  W. Nusselt.  Die Oberflachenkondensation des Wasserdampfes , 1916 .

[12]  J. Mikielewicz,et al.  Minimum thickness of a liquid film flowing vertically down a solid surface , 1976 .

[13]  Takeo Nakagawa,et al.  Stream meanders on a smooth hydrophobic surface , 1984, Journal of Fluid Mechanics.

[14]  S. Bankoff.  Minimum thickness of a draining liquid film , 1971 .

[15]  A. Doniec,et al.  Flow of a laminar liquid film down a vertical surface , 1988 .