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Decoupled rolling, sliding and sticking of a viscoplastic drop on a superhydrophobic surface

Published online by Cambridge University Press:  15 December 2020

Minyoung Kim ,
Eungjun Lee ,
Do Hyun Kim  and
Rhokyun Kwak Open the ORCID record for Rhokyun Kwak [Opens in a new window]
Minyoung Kim
Affiliation:
Department of Chemical Engineering, The Pennsylvania State University, University Park, PA16802, USA
Eungjun Lee
Affiliation:
Department of Chemical and Biomolecular Engineering, Korea Advanced Institute of Science and Technology, Daejeon34141, South Korea
Do Hyun Kim*
Affiliation:
Department of Chemical and Biomolecular Engineering, Korea Advanced Institute of Science and Technology, Daejeon34141, South Korea
Rhokyun Kwak*
Affiliation:
Department of Mechanical Engineering, Hanyang University, Seoul04763, South Korea Institute of Nano Science and Technology, Hanyang University, Seoul04763, South Korea
*
†Email addresses for correspondence: dohyun.kim@kaist.edu; rhokyun@hanyang.ac.kr
†Email addresses for correspondence: dohyun.kim@kaist.edu; rhokyun@hanyang.ac.kr
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Abstract

While the dynamics of Newtonian fluid drops on an inclined non-wettable surface has been widely reported, that of viscoplastic drops is less well known. Combining experimental and theoretical analysis, we reveal unique behaviours of viscoplastic drops on an inclined superhydrophobic surface: (i) decoupled rolling, sliding and sticking motions and (ii) two distinct rolling modes, i.e. viscous rolling and rigid-body rolling. First, determined by the relative magnitudes of gravitational, yield and adhesive stresses, a viscoplastic drop rolls, slides or sticks on a superhydrophobic surface. To the best of our knowledge, this is the first distinct differentiation of viscoplastic drop motions on a superhydrophobic surface, which is a clear departure from the previous observations of Newtonian drops on superhydrophobic surfaces and viscoplastic drops on hydrophilic/hydrophobic surfaces. We subcategorized two types of rolling as liquid-like viscous rolling and solid-like rigid-body rolling. With a low Deborah number (i.e. dimensionless viscoplastic relaxation time), the viscoplastic drop shows a viscous rolling as a Newtonian drop does on an inclined surface. With a high Deborah number, however, the viscoplastic drop does not have enough time to be ‘fluid’. Consequently, the ellipsoidal drop deforms to be more spherical as it goes down the inclined surface, and tumbles, as if a solid body initiates its rolling by ‘tipping’.

JFM classification

Drops and Bubbles: Drops Non-Newtonian Flows: Rheology Non-Newtonian Flows: Plastic materials
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 908 , 10 February 2021 , A41
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Copyright
© The Author(s), 2020. Published by Cambridge University Press

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Kim et al. supplementary movie 1

Rolling motion of a viscoplastic drop on a inclined superhydrophobic surface

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Kim et al. supplementary movie 2

Sliding motion of a viscoplastic drop on a inclined superhydrophobic surface

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Video 1.9 MB

Kim et al. supplementary movie 3

Rigid body motion of a viscoplastic drop

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Video 23.1 MB

Kim et al. supplementary movie 4

Tumbling and rolling off of a viscoplastic drop on a inclined superhydrophobic surface

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Video 441.4 KB