Quasi-static bubble formation on submerged orifices

The static formation of air bubbles emanating from a submerged orifice was analyzed based on the principles of force balance. The analysis was corroborated by experiments using a shadow imaging technique. The influence of the Young contact angle of the three material components was investigated by identifying two modes of formation, corresponding to bubble formation at the orifice rim and spreading of the bubble base on the horizontal surface around the bubble. The characteristics of the formation process such as shape, height and volume of the bubble and the non-dimensional pressure difference at the orifice are given for both modes up to the critical equilibrium, defined by the maximum bubble volume, at which the bubble releases dynamically.

[1]  E. Pitts The stability of pendent liquid drops. Part 2. Axial symmetry , 1974, Journal of Fluid Mechanics.

[2]  S. G. Mason,et al.  Resistance to spreading of liquids by sharp edges , 1977 .

[3]  R. Clift,et al.  Bubbles, Drops, and Particles , 1978 .

[4]  E. Shoukry,et al.  Separation of drops from wetted surfaces , 1975 .

[5]  A. K. Chesters An analytical solution for the profile and volume of a small drop or bubble symmetrical about a vertical axis , 1976, Journal of Fluid Mechanics.

[6]  E. Pitts The Stability of a Drop Hanging from a Tube , 1976 .

[7]  J. F. Padday,et al.  The stability of axisymmetric menisci , 1973, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[8]  K. Lunde,et al.  A Method for the Detailed Study of Bubble Motion and Deformation , 1995 .

[9]  Th. Lohnstein Zur Theorie des Abtropfens mit besonderer Rücksicht auf die Bestimmung der Kapillaritätskonstanten durch Tropfversuche , 1906 .

[10]  W. Siemes Gasblasen in Flüssigkeiten. Teil I: Entstehung von Gasblasen an nach oben gerichteten kreisförmigen Düsen , 1954 .

[11]  F. Durst,et al.  Blasenbildung an Düsen bei Gasdispersionen in Flüssigkeiten , 1969 .

[12]  D. Dyson,et al.  Contact line stability at edges: Comments on Gibbs’s inequalities , 1988 .

[13]  D. Kenning Liquid—vapor phase-change phenomena , 1993 .

[14]  S. G Mason,et al.  Liquid spreading: Edge effect for zero contact angle , 1978 .

[15]  A. K. Chesters Modes of bubble growth in the slow-formation regime of nucleate pool boiling , 1978 .

[16]  Bryan R. Kerman,et al.  The release of air bubbles from an underwater nozzle , 1991 .

[17]  A. Kovitz Static fluid interfaces external to a right circular cylinder—experiment and theory , 1975 .

[18]  E. B. Dussan,et al.  LIQUIDS ON SOLID SURFACES: STATIC AND DYNAMIC CONTACT LINES , 1979 .

[19]  Takashi Nakamura,et al.  Influence of wetting conditions on bubble formation at orifice in an inviscid liquid. Transformation of bubble shape and size , 2003 .