Influence of surfactant solubility on the deformation and breakup of a bubble or capillary jet in a viscous fluid

In a previous study [M. Hameed, J. Fluid Mech. 594, 307 (2008)] the authors investigated the influence of insoluble surfactant on the evolution of a stretched, inviscid bubble surrounded by a viscous fluid via direct numerical simulation of the Navier-Stokes equations, and showed that the presence of surfactant can cause the bubble to contract and form a quasisteady slender thread connecting parent bubbles, instead of proceeding directly toward pinch-off as occurs for a surfactant-free bubble. Insoluble surfactant significantly retards pinch-off and the thread is stabilized by a balance between internal pressure and reduced capillary pressure due to a high concentration of surfactant that develops during the initial stage of contraction. In the present study we investigate the influence of surfactant solubility on thread formation. The adsorption-desorption kinetics for solubility is in the diffusion controlled regime. A long-wave model for the evolution of a capillary jet is also studied in the Stokes flow limit, and shows dynamics that are similar to those of the evolving bubble. With soluble surfactant, depending on parameter values, a slender thread forms but can pinch-off later due to exchange of surfactant between the interface and exterior bulk flow. © 2009 American Institute of Physics.

SOME MEASUREMENTS OF THE PERMEABILITY OF KAOLIN.

This paper reports an experimental investigation of the vertical and horizontal permeabilities of speswhite kaolin clay. The permeabilities were measured using falling head permeability tests. A modification to a conventional oedometer was devised so that either vertical or horizontal permeabilities could be determined. It was found that the vertical and horizontal permeabilities of the clay slurry were similar, but that as the clay was consolidated one dimensionally the anisotropy of the clay fabric resulted in a greater horizontal permeability than the vertical permeability at any void ratio. Both permeabilities were uniquely related to the void ratio.