Numerical simulation of periodic bubble formation at a submerged orifice with constant gas flow rate

Extensive numerical simulations were carried out to study the problem of bubble formation at submerged orifices under constant inflow conditions. A combined volume-of-fluid and level-set method was applied to simulate the formation process, the detachment and the bubble rise above the orifice in axisymmetric coordinates. On the one hand, the operating conditions of the formation process such as orifice flow rate, orifice radius and wettability of the orifice plate were investigated for the working fluids of air and water at 20 °C. On the other hand, the influence of the variation of fluid properties (liquid density and viscosity, surface tension) was examined individually. In this frame, the present work focused on low and medium flow rate conditions, at which the formation takes place in a periodic manner, in contrast to aperiodic or double periodic modes. The results of the computations provide information on the influence of various conditions on the bubble shapes, the bubble volume and the transition from a single to a double periodic formation process. The numerical results were extensively validated with experimental data available in the literature.

[1]  F. Durst,et al.  Quasi-static bubble formation on submerged orifices , 2005 .

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

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

[4]  M. Sussman,et al.  A Coupled Level Set and Volume-of-Fluid Method for Computing 3D and Axisymmetric Incompressible Two-Phase Flows , 2000 .

[5]  Nahmkeon Hur,et al.  A COUPLED LEVEL SET AND VOLUME-OF-FLUID METHOD FOR THE BUOYANCY-DRIVEN MOTION OF FLUID PARTICLES , 2002 .

[6]  Gaurav Tomar,et al.  Numerical simulation of bubble growth in film boiling using a coupled level-set and volume-of-fluid method , 2005 .

[7]  J. Brackbill,et al.  A continuum method for modeling surface tension , 1992 .

[8]  F. Durst,et al.  Comparison of volume-of-fluid methods for surface tension-dominant two-phase flows , 2006 .

[9]  Lei Zhang,et al.  Aperiodic bubble formation from a submerged orifice , 2001 .

[10]  J. Liow,et al.  A model of bubble growth in wetting and non-wetting liquids , 1988 .

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

[12]  Jyeshtharaj B. Joshi,et al.  Bubble Formation and Bubble Rise Velocity in Gas−Liquid Systems: A Review , 2005 .

[13]  R. Kumar,et al.  The Formation of Bubbles and Drops , 1970 .

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

[15]  J. Sartorelli,et al.  Bubble and spherical air shell formation dynamics. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[16]  J. N. Lin,et al.  Role of Interfacial Tension in the Formation and the Detachment of Air Bubbles. 1. A Single Hole on a Horizontal Plane Immersed in Water , 1994 .

[17]  S. Osher,et al.  A level set approach for computing solutions to incompressible two-phase flow , 1994 .

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

[19]  Mohammad Jamialahmadi,et al.  Study of Bubble Formation Under Constant Flow Conditions , 2001 .

[20]  F. Harlow,et al.  Numerical Calculation of Time‐Dependent Viscous Incompressible Flow of Fluid with Free Surface , 1965 .

[21]  E. Kastrinakis,et al.  Bubbling from nozzles submerged in water: Transitions between bubbling regimes , 1997 .

[22]  Miguel A. Galán,et al.  Numerical calculation of shapes and detachment times of bubbles generated from a sieve plate , 2006 .

[23]  Liang-Shih Fan,et al.  Discrete simulation of gas‐liquid bubble columns and gas‐liquid‐solid fluidized beds , 2004 .

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

[25]  Anthony B. Ponter,et al.  Bubble emissions from submerged orifices – a critical review , 1997 .

[26]  C. Maldarelli,et al.  Theory and experiment on the low-Reynolds-number expansion and contraction of a bubble pinned at a submerged tube tip , 1998, Journal of Fluid Mechanics.

[27]  Andrea Prosperetti,et al.  Dynamics of bubble growth and detachment from a needle , 1993, Journal of Fluid Mechanics.

[28]  John F. Davidson,et al.  Bubble formation at an orifice in a viscous liquid , 1997 .

[29]  Koichi Terasaka,et al.  Bubble formation under constant-flow conditions , 1993 .

[30]  F. Higuera Injection and coalescence of bubbles in a very viscous liquid , 2005, Journal of Fluid Mechanics.

[31]  A. D. Young,et al.  An Introduction to Fluid Mechanics , 1968 .