Abstract
We investigated the hydrodynamics of water entry by aluminum spheres varying in wettability, assisted by nano/microscaled surface morphology. A wide range of contact angle (C.A.: 0° ≤ θ0 < 170°) on the test spheres was prepared via inexpensive single-step anodization method. The water entry events: Splash and cavity formation, were visualized by a high-speed camera to understand the fast transient features affected by the surface wettability. In terms of hydrodynamics, cavity formation and air entrainment during the water entry were analyzed via dynamic wetting of liquid film flow along the sphere surface. It was confirmed that wettability was a determinant factor of both splash shape and cavity formation, especially in hydrophobic condition (90° ≤ θ0). Furthermore, the analysis of dynamic contact angle of liquid film front in this study was able to classify the water entry events more detail than previous literature. In addition, we also recorded audio signals to evaluate acoustic pressures produced by the impact between spheres and water pool. The audio signals, which are expected to be proportional to acoustic pressures, differed when hydrophilic and hydrophobic spheres entered water.
Similar content being viewed by others
Abbreviations
- θ :
-
Contact angle [Rad]
- v, U :
-
Velocity [m/s]
- ξ:
-
Numerical prefactor [-]
- σ :
-
Surface tension [N/m]
- µ :
-
Viscosity [Pas]
- r :
-
Radius of sphere [m]
- α :
-
Numerical prefactor [-]
- L c :
-
Logarithmic ratio lengths [-]
- 0:
-
Static
- d :
-
Dynamic
- *:
-
Threshold
References
A. M. Worthington and R. S. Cole, Impact with a liquid surface studied by the aid of instantaneous photography II, Phil. Trans. R. Soc. Land. A, 194 (1900) 175–199.
T. T. Truscott, B. P. Epps and J. Beiden, Water entry of projectiles, Annu. Rev. Fluid Mech., 46 (2014) 355–378.
T. von Karman, The impact on seaplane floats during landing, National Advisory Committee for Aeronautics Technical Note, 321 (1929).
Y. Kubota and O. Mochizuki, Splash formation due to a frog diving into water, World J. of Mech., 5 (2015) 129–137.
N. Lyotard, W. L. Shew, L. Bocquet and J. F. Pinton, Polymer and surface roughness effects on the drag crisis for falling spheres, The Euro. Phys. J. B., 60 (2007) 469–476.
Y. Kubota and O. Mochizuki, Influence of head shape of solid body plunging into water on splash formation, J. Visualization, 14(2011) 111–119.
D. Schwalbach, T. Shepard, S. Kane, D. Siglin, T. Harrington and J. Abraham, Effect of impact velocity and mass ratio during vertical sphere water entry, Dev. App. Ocean. Eng., 3 (2014) 55–62.
T. Shepard, J. Abraham, D. Schwalbach, S. Kane, D. Siglin and T. Harrington, Velocity and density effect on impact force during water entry of sphere, J. Rem. Sen. & GIS, 3 (3) (2014) 1000129.
L. Vincent, T. Xiao, D. Yohann, S. Jung and E. Kanso, Dynamics of water entry, J. Fluid Mech., 846 (2018) 508–535.
H. Yan, Y. Liu, J. Kominiarczuk and D. P. Yue, Cavity dynamics in water entry at low Fraude numbers, J. Fluid Mech., 641 (2009) 441–461.
J. M. Aristoff, T. T. Truscott, A. H. Techet and J. W. M. Bush, The water entry of decelerating spheres, Phys. Fluid., 22 (2010) 032102.
Y. Kubota and O. Mochizuki, Splash formation by a spherical body plunging into water, J. Visualization, 12 (2009) 339–346.
M. M. Mansoor, Ultimate cavity dynamics of hydrophobic spheres impacting on free water surfaces, Master Degree Dissertation, KAUST (2012).
M. D. Quang and G. Amberg, The splash of a solid sphere impacting on a liquid surface: Numerical simulation of the influence of wetting, Phys. Fluid., 21 (2009) 022102.
C. Duez, C. Ybert, C. Clanet and L. Bocquet, Making a splash with water repellency, Nature Physics, 3 (2007) 180–183.
C. Duez, C. Ybert, C. Barentin, C. Cottin-Bizonne and L. Bocquet, Dynamics of fakir liquids from slip to splash, J. Adhe. Sci. & Tech., 22 (2008) 335–351.
J. M. Aristoff and J. W. M. Bush, Water entry of small hydrophobic spheres, J. Fluid Mech., 619 (2009) 45–78.
A. H. Techet and T. T. Truscott, Water entry of spinning hydrophobic and hydrophilic spheres, J. Fluids and Struc, 27 (2011) 716–726.
Y. Kim, S. Lee, H. Cho, B. Park, D. Kim and W. Hwang, Robust superhydrophilic/hydrophobic surface based on self-aggregated AI203nanowires by single-step anodization and self-assembly method, ACS App. Mat. & Int., 4 (2012) 5074–5078.
H. Cho, D. Kim, C. Lee and W. Hwang, A simple fabrication method for mechanically robust superhydrophobic surface by hierarchical aluminum hydroxide structures, Cur. App. Phys., 13(2013) 762–767.
A. Mallock, Sound produced by drops falling on water, Proc. Roy. Soc. London, 95 (1918) 138–143.
H. I. Abelson, Pressure measurements in the water-entry cavity, J. Fluid Mech., 44 (1970) 129–144.
S. Lee and W. Hwang, Ultralow contact angle hysteresis and no-aging effects in superhydrophobic tangled nanofiber structures generated by controlling the pore size of a 99.5 % aluminum foil, J. Micromech Microeng, 19 (2009) 035019.
V. Voinov, Hydrodynamics of wetting, Fluid Dynamics, 11 (1976) 714–721.
Acknowledgments
This research was supported by the Science Research Program of the National Research Foundation of Korea (NRF) funded by the Ministry of Education (grant no. 2016R1A6A3 A03008942).
Author information
Authors and Affiliations
Corresponding author
Additional information
Recommended by Editor Chang-Soo Han
SeolHa Kim graduated from POSTECH, (South Korea) for Bachelor (Mechanical Engineering) to and Doctor degree (Nuclear Engineering). He worked in Korea Atomic Energy Research Institute and Chinese Academy of Science for researcher. Currently, he is working in Kyungpook National University as an Assistant Professor.
Dongseob Kim received his Ph.D. in Mechanical Engineering from POSTECH in 2010. Currently, he is a Principal Researcher in the Aircraft System Technology Group at KITECH working. His main research interests focus on the fields of analysis and fabrication of nanostructures for mechanical characterization and nanofabrications for metamaterials and nanomechanics.
Hyungmo Kim received his Ph.D. (Mechanical Engineering) from POSTECH. He is currently a Senior Researcher in the Advanced Reactor Development Team of Korea Atomic Energy Research Institute. His research interests include various kinds of heat and mass transport phenomena in practical systems.
Rights and permissions
About this article
Cite this article
Kim, S., Kim, D. & Kim, H. Effect of wettability on the water entry problem of aluminum spheres. J Mech Sci Technol 34, 1257–1263 (2020). https://doi.org/10.1007/s12206-020-0224-2
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12206-020-0224-2