Aperiodic bubble formation from a submerged orifice

Abstract The present work aims at studying the nonlinear behaviors of bubbles, including formation, interference, collision and coalescence, formed from a submerged orifice. The experimental data reveal that the departing periods of successive bubbles evolve regularly from single period to triple periods within the air flow rate regime of 100 cc / min cc / min , due to the interactions between the consecutive bubbles. A new comprehensive theoretical model is developed for describing the instantaneous bubble behaviors during formation and ascendance processes and for predicting the departing periods and sizes of successive bubbles in constant flow rate condition. Owing to the estimation of instantaneous interactions between successive bubbles and the incorporation of the wake effect of previous bubble, the present model can elaborately describe the evolution process and mechanisms of bubble departing periods corresponding to different gas flow rate regimes. The theoretical results are in good agreement with the experimental investigation. Both the experimental data and the theoretical results state that bifurcation of bubble departing periods in constant flow rate condition is induced by bubble interactions.

[1]  W. V. Pinczewski,et al.  The formation and growth of bubbles at a submerged orifice , 1981 .

[2]  I. J. Harris,et al.  A model for non-spherical bubble growth at a single orifice , 1986 .

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

[4]  D. A. Deshpande,et al.  A model for the prediction of bubble size at a single orifice in two-phase gas—liquid systems , 1992 .

[5]  D. J. McCann,et al.  Regimes of bubbling at a submerged orifice , 1971 .

[6]  Abraham Marmur,et al.  A theoretical model for bubble formation at an orifice submerged in an inviscid liquid , 1976 .

[7]  Koichi Terasaka,et al.  Bubble formation at a single orifice in highly viscous liquids , 1990 .

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

[9]  Martin E. Weber,et al.  In-line interaction of a pair of bubbles in a viscous liquid , 1980 .

[10]  Irving Leibson,et al.  Rate of flow and mechanics of bubble formation from single submerged orifices. I. Rate of flow studies , 1956 .

[11]  S. C. Chuang,et al.  Bubble Formation Due to a Submerged Capillary Tube in Quiescent and Coflowing Streams , 1970 .

[12]  H. Schlichting Boundary Layer Theory , 1955 .

[13]  S. Narayanan,et al.  Coalescence of two bubbles rising in line at low reynolds numbers , 1974 .

[14]  Pierre J. Carreau,et al.  Bubble velocity and coalescence in viscoelastic liquids , 1986 .

[15]  Rajinder Kumar,et al.  Studies in bubble formation—I bubble formation under constant flow conditions , 1969 .

[16]  Huaizhi Li,et al.  Bubbles in non-Newtonian fluids: Formation, interactions and coalescence , 1999 .

[17]  Note on the influence of viscoelasticity on the coalescence rate of bubbles and drops , 1978 .

[18]  A. Wraith Two stage bubble growth at a submerged plate orifice , 1971 .

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

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

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