Observations of high Reynolds number bubbles interacting with a rigid wall

The behavior of bubbles with radii of 0.5–0.7 mm rising through water in the presence of a solid boundary were observed using a high‐speed video camera. Fluid inertia and surface tension cause a bubble to bounce several times from a horizontal wall before viscosity dissipates the energy. An energy balance involving the kinetic energy of the fluid motion, the surface energy of the air–water interface, and the gravitational potential energy aids in the interpretation of the dynamics of the collision. We also observed the motion of a bubble rising under an oblique wall with an angle of 10°–85° to the horizontal. When the angle was less than about 55° corresponding to We<0.4, the bubble slid steadily along the wall. At steeper angles the bubble was observed to bounce repeatedly from the inclined wall without any apparent loss of amplitude. It was also determined that the critical Weber number of coalescence of a bubble rising toward a stationary bubble is 1.6. At Weber numbers below this critical value, the two bubbles coalesce on impact while bubbles bounce at higher Weber numbers.

[1]  S. G. Yiantsios,et al.  On the buoyancy-driven motion of a drop towards a rigid surface or a deformable interface , 1990, Journal of Fluid Mechanics.

[2]  Jonathan J L Higdon,et al.  Resistance functions for spherical particles, droplets and bubbles in cylindrical tubes , 1995 .

[3]  Peter Smereka,et al.  On the motion of bubbles in a periodic box , 1993, Journal of Fluid Mechanics.

[4]  F. Bretherton The motion of long bubbles in tubes , 1961, Journal of Fluid Mechanics.

[5]  D. Platikanov,et al.  Experimental Investigation on the “Dimpling” of Thin Liquid Films , 1964 .

[6]  L. Doubliez The drainage and rupture of a non-foaming liquid film formed upon bubble impact with a free surface , 1991 .

[7]  J. C. Slattery,et al.  Thinning of a liquid film as a small drop or bubble approaches a solid plane , 1982 .

[8]  J. C. Slattery,et al.  Effects of London‐van der Waals forces on the thinning of a dimpled liquid film as a small drop or bubble approaches a horizontal solid plane , 1982 .

[9]  D. Koch,et al.  Collisions of slightly deformable, high Reynolds number bubbles with short‐range repulsive forces , 1994 .

[10]  A. Sangani,et al.  Dispersed-phase stress tensor in flows of bubbly liquids at large Reynolds numbers , 1993, Journal of Fluid Mechanics.

[11]  Michel Y. Louge,et al.  Computer simulations of rapid granular flows of spheres interacting with a flat, frictional boundary , 1994 .

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

[13]  A. Sangani,et al.  Dynamic simulations of flows of bubbly liquids at large Reynolds numbers , 1993, Journal of Fluid Mechanics.

[14]  Ivan B. Bazhlekov,et al.  Interaction of a deformable bubble with a rigid wall at moderate Reynolds numbers , 1990, Journal of Fluid Mechanics.

[15]  George Keith Batchelor,et al.  An Introduction to Fluid Dynamics. , 1969 .

[16]  J. Jenkins Boundary Conditions for Rapid Granular Flow: Flat, Frictional Walls , 1992 .

[17]  P. C. Duineveld,et al.  Bouncing and coalescence of two bubbles in pure water , 1995 .

[18]  T. Maxworthy,et al.  Bubble rise under an inclined plate , 1991, Journal of Fluid Mechanics.

[19]  A. K. Chesters,et al.  Bubble coalescence in pure liquids , 1982 .

[20]  M. J. Lockett,et al.  The influence of approach velocity on bubble coalescence , 1974 .

[21]  J. Flaherty,et al.  Analysis of phase distribution in fully developed laminar bubbly two-phase flow , 1991 .

[22]  A. Biesheuvel,et al.  The motion of pairs of gas bubbles in a perfect liquid , 1982 .

[23]  P. C. Duineveld,et al.  The rise velocity and shape of bubbles in pure water at high Reynolds number , 1995, Journal of Fluid Mechanics.

[24]  D. W. Moore The velocity of rise of distorted gas bubbles in a liquid of small viscosity , 1965, Journal of Fluid Mechanics.

[25]  L. Durlofsky,et al.  Dynamic simulation of bounded suspensions of hydrodynamically interacting particles , 1989, Journal of Fluid Mechanics.

[26]  J. Kok Collision dynamics of bubble pairs moving through a perfect liquid , 1993 .

[27]  J. Brady,et al.  Pressure-driven flow of suspensions: simulation and theory , 1994, Journal of Fluid Mechanics.

[28]  Andrea Prosperetti,et al.  Averaged equations for inviscid disperse two-phase flow , 1994, Journal of Fluid Mechanics.

[29]  G. F. Scheele,et al.  An experimental study of factors which promote coalescence of two colliding drops suspended in water-I , 1971 .