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Sliding droplets in a laminar or turbulent boundary layer
Phys. Rev. Fluids 7, 113605 – Published 30 November, 2022
DOI: https://doi.org/10.1103/PhysRevFluids.7.113605
Abstract
In this study we report an experimental investigation of droplet sliding under the influence of a laminar or turbulent airflow for water and glycerin droplets. The onset of sliding is described thanks to a critical Weber number, based on the mean airflow velocity impacting the droplet, depending upon the contact angle hysteresis and a drag coefficient (that also depends on the Reynolds number). A fairly good agreement is observed with our experiments and various data from the literature. The transitions between the various droplet shapes observed during sliding (oval, corner, and rivulet) are characterized in a phase diagram built on the droplet capillary and Bond numbers.
Physics Subject Headings (PhySH)
Article Text
References (26)
- J. J. Bikerman, Sliding of drops from surfaces of different roughnesses, J. Colloid Sci. 5, 349 (1950).
- C. G. L. Furmidge, Studies at phase interfaces. I. The sliding of liquid drops on solid surfaces and a theory for spray retention, J. Colloid Sci. 17, 309 (1962).
- E. B. Dussan and R. Chow, On the ability of drops or bubbles to stick to non-horizontal surfaces of solids, J. Fluid Mech. 137, 1 (1983).
- E. B. Dussan, On the ability of drops or bubbles to stick to non-horizontal surfaces of solids. Part 2. Small drops or bubbles having contact angles of arbitrary size, J. Fluid Mech. 151, 1 (1985).
- T. Podgorski, J. M. Flesselles, and L. Limat, Corners, Cusps, and Pearls in Running Drops, Phys. Rev. Lett. 87, 036102 (2001).
- N. Le Grand, A. Daerr, and L. Limat, Shape and motion of drops sliding down an inclined plane, J. Fluid Mech. 541, 293 (2005).
- R. L. Inmaculada, E. Sotiris, K. Margaritis, Z. Xenophon, and D. K. Thodoris, Effect of initial droplet shape on the tangential force required for spreading and sliding along a solid surface, Colloids Surf., A 549, 164 (2018).
- E. B. Dussan, On the ability of drops to stick to surfaces of solids. Part 3. The influences of the motion of the surrounding fluid on dislodging drops, J. Fluid Mech. 174, 381 (1987).
- P. Dimitrakopoulos and J. Higdon, Displacement of fluid droplets from solid surfaces in low-Reynolds-number shear flows, J. Fluid Mech. 336, 351 (1997).
- A. Milne and A. Amirfazli, Drop shedding by shear flow for hydrophilic to superhydrophobic surfaces, Langmuir 25, 14155 (2009).
- J. Fan, M. C. T. Wilson, and N. Kapur, Displacement of liquid droplets on a surface by a shearing air flow, J. Colloid Interface Sci. 356, 286 (2011).
- S. Moghtadernejad, M. Mohammadi, M. Jadidi, M. Tembely, and A. Dolatabadi, Shear driven droplet shedding on surfaces with various wettabilities, SAE Int. J. Aerosp. 6, 459 (2013).
- S. C. Fu, W. T. Leung, and C. Y. H. Chao, Detachment of droplets in a fully developed turbulent channel flow, Aerosol. Sci. Technol. 48, 916 (2014).
- I. V. Roisman, A. Criscione, C. Tropea, D. K. Mandal, and A. Amirfazli, Dislodging a sessile drop by a high-Reynolds-number shear flow at subfreezing temperatures, Phys. Rev. E 92, 023007 (2015).
- P. M. Seiler, M. Gloerfeld, I. V. Roisman, and C. Tropea, Aerodynamically driven motion of a wall-bounded drop on a smooth solid substrate, Phys. Rev. Fluids 4, 024001 (2019).
- B. Barwari, S. Burgmann, A. Bechtold, M. Rohde, and U. Janoske, Experimental study of the onset of downstream motion of adhering droplets in turbulent shear flows, Exp. Therm. Fluid Sci. 109, 109843 (2019).
- B. Barwari, S. Burgmann, and U. Janoske, Hydrodynamic instabilities of adhering droplets due to a shear flow in a rectangular channel, Chem. Ing. Tech. 91, 991 (2019).
- L. Ma, Y. Liu, and H. Hu, An experimental investigation on wind driven droplet moving on surfaces with different wettabilities, AIAA Scitech 2019 Forum, 7-11 January 2019, San Diego, California (AIAA, Reston, VA, 2019), Paper No. AIAA 2019-0632.
- E. B. White and J. A. Schmucker, Wind- and gravity-forced drop depinning, Phys. Rev. Fluids 6, 023601 (2021).
- X. Zhang, Interaction of water droplets residing on a solid surface with wall-bounded shear flows, Ph.D. thesis, University of Waterloo, 2021.
- A. Hooshanginejad and S. Lee, Dynamics of a partially wetting droplet under wind and gravity, Phys. Rev. Fluids 7, 033601 (2022).
- A. Hooshanginejad and S. Lee, Droplet depinning in a wake, Phys. Rev. Fluids 2, 031601(R) (2017).
- X. Zhang, B. A. Tuna, S. Yarusevych, and S. D. Peterson, Flow development over isolated droplet-inspired shapes, Int. J. Heat Fluid Flow 88, 108756 (2021).
- D. Legendre, C. Colin, and T. Coquard, Lift, drag and added mass of a hemispherical bubble sliding and growing on a wall in a viscous linear shear flow, Philos. Trans. R. Soc. London, Ser. A 366, 2233 (2008).
- P. Nardone and K. Koll, Velocity field and drag force measurements of a cube and a hemisphere mounted on an artificial bed surface roughness, E3S Web Conf. 40, 05022 (2018).
- A. Saal, P. M. Seiler, D. Rettenmaier, M. Ade, I. V. Roisman, R. Berger, H. J. Butt, and C. Tropea, Shuffling gait motion of an aerodynamically driven wall-bound drop, Phys. Rev. Fluids 5, 094006 (2020).
