Investigation of liquid–liquid drop coalescence using tomographic PIV

High-speed tomographic PIV was used to investigate the coalescence of drops placed on a liquid/liquid interface; the coalescence of a single drop and of a drop in the presence of an adjacent drop (side-by-side drops) was investigated. The viscosity ratio between the drop and surrounding fluids was 0.14, the Ohnesorge number (Oh = μd/(ρdσD)1/2) was 0.011, and Bond numbers (Bo = (ρd − ρs)gD2/σ) were 3.1–7.5. Evolving volumetric velocity fields of the full coalescence process allowed for quantification of the velocity scales occurring over different time scales. For both single and side-by-side drops, the coalescence initiates with an off-axis film rupture and film retraction speeds an order of magnitude larger than the collapse speed of the drop fluid. This is followed by the formation and propagation of an outward surface wave along the coalescing interface with wavelength of approximately 2D. For side-by-side drops, the collapse of the first drop is asymmetric due to the presence of the second drop and associated interface deformation. Overall, tomographic PIV provides insight into the flow physics and inherent three-dimensionalities in the coalescence process that would not be achievable with flow visualization or planar PIV only.

[1]  S. G. Mason,et al.  The mechanism of partial coalescence of liquid drops at liquid/liquid interfaces☆ , 1960 .

[2]  D. R. Woods,et al.  Film shapes for deformable drops at liquid-liquid interfaces. II. The mechanisms of film drainage , 1973 .

[3]  D. R. Woods,et al.  Film shapes for deformable drops at liquid-liquid interfaces. III. Drop rest-times , 1973 .

[4]  A. S. Geller,et al.  The creeping motion of a spherical particle normal to a deformable interface , 1986, Journal of Fluid Mechanics.

[5]  L. G. Leal,et al.  A theoretical study of the motion of a viscous drop toward a fluid interface at low Reynolds number , 1989, Journal of Fluid Mechanics.

[6]  B. R. Morton,et al.  Drop‐formed vortex rings—The generation of vorticity , 1995 .

[7]  Kohsei Takehara,et al.  The coalescence cascade of a drop , 2000 .

[8]  L. Leng Splash formation by spherical drops , 2001, Journal of Fluid Mechanics.

[9]  Ellen K. Longmire,et al.  Drop coalescence through a liquid/liquid interface , 2004 .

[10]  Bernhard Wieneke,et al.  Tomographic particle image velocimetry , 2006 .

[11]  James J. Feng,et al.  Partial coalescence between a drop and a liquid-liquid interface , 2006 .

[12]  Chunfeng Zhou,et al.  A computational study of the coalescence between a drop and an interface in Newtonian and viscoelastic fluids , 2006 .

[13]  F. Blanchette,et al.  Partial coalescence of drops at liquid interfaces , 2006 .

[14]  Kohsei Takehara,et al.  High-Speed Imaging of Drops and Bubbles , 2008 .