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Kinematics of vortex ring generated by a drop upon impacting a liquid pool

Published online by Cambridge University Press:  25 July 2019

Abhishek Saha Open the ORCID record for Abhishek Saha [Opens in a new window] ,
Yanju Wei ,
Xiaoyu Tang  and
Chung K. Law
Abhishek Saha*
Affiliation:
Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, USA Department of Mechanical and Aerospace Engineering, University of California San Diego, La Jolla, CA 92093, USA
Yanju Wei
Affiliation:
Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, USA School of Energy and Power Engineering, Xi’an Jiaotong University, Xi’an 710049, China
Xiaoyu Tang
Affiliation:
Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, USA
Chung K. Law
Affiliation:
Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, USA
*
†Email address for correspondence: [email protected]
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Abstract

We herein report an experimental study on the morphological evolution of a vortex ring formed inside a liquid pool after it is impacted and penetrated by a coalescing drop of the same liquid. The dynamics of the penetrating vortex ring along with the deformation of the pool surface has been captured using simultaneous high-speed laser induced fluorescence and shadowgraph techniques. It is identified that the motion of such a vortex ring can be divided into three stages, during which inertial, capillary and viscous effects alternatingly play dominant roles to modulate the penetration process, resulting in linear, non-monotonic and decelerating motion in these three stages respectively. Furthermore, we also evaluate the relevant time and length scales of these three stages and subsequently propose a unified description of the downward motion of the penetrating vortex ring. Finally, we use the experimental data for a range of drop diameters and impact speeds to validate the proposed scaling.

JFM classification

Drops and Bubbles: Drops Drops and Bubbles: Breakup/coalescence Vortex Flows: Vortex dynamics
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 875 , 25 September 2019 , pp. 842 - 853
Copyright
© 2019 Cambridge University Press 

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