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Streaming controlled by meniscus shape

Published online by Cambridge University Press:  12 May 2020

Y. Huang Open the ORCID record for Y. Huang [Opens in a new window] ,
C. L. P. Wolfe Open the ORCID record for C. L. P. Wolfe [Opens in a new window] ,
J. Zhang Open the ORCID record for J. Zhang [Opens in a new window]  and
J.-Q. Zhong Open the ORCID record for J.-Q. Zhong [Opens in a new window]
Y. Huang*
Affiliation:
School of Physics Science and Engineering, Tongji University, Shanghai200092, China School of Marine and Atmospheric Sciences, Stony Brook University, Stony Brook11794, USA
C. L. P. Wolfe
Affiliation:
School of Marine and Atmospheric Sciences, Stony Brook University, Stony Brook11794, USA
J. Zhang
Affiliation:
NYU-ECNU Institute of Physics, New York University Shanghai, Shanghai 200062, China Department of Physics & Courant Institute, New York University, New York 10012, USA
J.-Q. Zhong*
Affiliation:
School of Physics Science and Engineering, Tongji University, Shanghai200092, China
*
†Email addresses for correspondence: yicheng.huang@stonybrook.edu, jinqiang@tongji.edu.cn
†Email addresses for correspondence: yicheng.huang@stonybrook.edu, jinqiang@tongji.edu.cn
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Abstract

Surface waves called meniscus waves often appear in systems that are close to the capillary length scale. Since the meniscus shape determines the form of the meniscus waves, the resulting streaming circulation has features distinct from those caused by other capillary–gravity waves recently reported in the literature. In the present study, we produce symmetric and antisymmetric meniscus shapes by controlling boundary wettability and excite meniscus waves by oscillating the meniscus vertically. The symmetric and antisymmetric configurations produce different surface capillary–gravity wave modes and streaming flow structures. The root-mean-square speed of the streaming circulation increases with the second power of the forcing amplitude in both configurations. The flow symmetry of streaming circulation is retained under the symmetric meniscus, while it is lost under the antisymmetric meniscus. The streaming circulation pattern beneath the meniscus observed in our experiments is qualitatively explained using the method introduced by Nicolás & Vega (Fluid Dyn. Res., vol. 32 (4), 2003, pp. 119–139) and Gordillo & Mujica (J. Fluid Mech., vol. 754, 2014, pp. 590–604).

JFM classification

Waves/Free-surface Flows: Surface gravity waves Waves/Free-surface Flows: Capillary waves
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 895 , 25 July 2020 , A1
Copyright
© The Author(s), 2020. Published by Cambridge University Press

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Huang et al. supplementary movie 1

Experimental movies for the streaming circulations produced with a symmetric meniscus (movie 1.avi). It corresponds to Fig.3 of ‘Streaming controlled by meniscus shape’ by Y. Huang, C.P. Wolfe, J. Zhang and J.-Q. Zhong. The driving frequency is f0=8 Hz. The driving amplitude is a0=0.2g0. When played at 10 frames per second, the movie runs at 0.8 times real speed.

Download Huang et al. supplementary movie 1(Video)
Video 1.9 MB

Huang et al. supplementary movie 2

Experimental movies for the streaming circulations produced with an antisymmetric meniscus (movie 2.avi). It corresponds to Fig.4 of ‘Streaming controlled by meniscus shape’ by Y. Huang, C.P. Wolfe, J. Zhang and J.-Q. Zhong. The driving frequency is f0=8 Hz. The driving amplitude is a0=0.2g0. When played at 10 frames per second, the movie runs at 0.8 times real speed.

Download Huang et al. supplementary movie 2(Video)
Video 3.6 MB