TY - JOUR
T1 - When does an impacting drop stop bouncing?
AU - Sanjay, Vatsal
AU - Chantelot, Pierre
AU - Lohse, Detlef
N1 - Funding Information:
The authors acknowledge the ERC Advanced Grant No. 740479-DDD.
Publisher Copyright:
© The Author(s), 2023. Published by Cambridge University Press.
PY - 2023/3/10
Y1 - 2023/3/10
N2 - Non-wetting substrates allow impacting liquid drops to spread, recoil and take-off, provided they are not too heavy (Biance et al., J. Fluid Mech., vol. 554, 2006, pp. 47-66) or too viscous (Jha et al., Soft Matt., vol. 16, no. 31, 2020, pp. 7270-7273). In this article, using direct numerical simulations with the volume of fluid method, we investigate how viscous stresses and gravity oppose capillarity to inhibit drop rebound. Close to the bouncing to non-bouncing transition, we evidence that the initial spreading stage can be decoupled from the later retraction and take-off, allowing us to understand the rebound as a process converting the surface energy of the spread liquid into kinetic energy. Drawing an analogy with coalescence-induced jumping, we propose a criterion for the transition from the bouncing to the non-bouncing regime, namely by the condition, where and are the Ohnesorge number and Bond number at the transition, respectively. This criterion is in excellent agreement with the numerical results. We also elucidate the mechanisms of bouncing inhibition in the heavy and viscous drop limiting regimes by calculating the energy budgets and relating them to the drop's shape and internal flow.
AB - Non-wetting substrates allow impacting liquid drops to spread, recoil and take-off, provided they are not too heavy (Biance et al., J. Fluid Mech., vol. 554, 2006, pp. 47-66) or too viscous (Jha et al., Soft Matt., vol. 16, no. 31, 2020, pp. 7270-7273). In this article, using direct numerical simulations with the volume of fluid method, we investigate how viscous stresses and gravity oppose capillarity to inhibit drop rebound. Close to the bouncing to non-bouncing transition, we evidence that the initial spreading stage can be decoupled from the later retraction and take-off, allowing us to understand the rebound as a process converting the surface energy of the spread liquid into kinetic energy. Drawing an analogy with coalescence-induced jumping, we propose a criterion for the transition from the bouncing to the non-bouncing regime, namely by the condition, where and are the Ohnesorge number and Bond number at the transition, respectively. This criterion is in excellent agreement with the numerical results. We also elucidate the mechanisms of bouncing inhibition in the heavy and viscous drop limiting regimes by calculating the energy budgets and relating them to the drop's shape and internal flow.
KW - UT-Hybrid-D
UR - https://github.com/VatsalSy/When-does-a-drop-stop-bouncing.git
U2 - 10.1017/jfm.2023.55
DO - 10.1017/jfm.2023.55
M3 - Article
VL - 958
JO - Journal of fluid mechanics
JF - Journal of fluid mechanics
SN - 0022-1120
M1 - A26
ER -