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On shock induced aerobreakup of a wall-attached droplet

Published online by Cambridge University Press:  25 September 2023

Jianfeng Guo ,
Peng Kang ,
Kai Mu Open the ORCID record for Kai Mu [Opens in a new window] ,
Jianling Li  and
Ting Si Open the ORCID record for Ting Si [Opens in a new window]
Jianfeng Guo
Affiliation:
Department of Modern Mechanics, University of Science and Technology of China, Hefei 230026, PR China
Peng Kang
Affiliation:
Department of Modern Mechanics, University of Science and Technology of China, Hefei 230026, PR China
Kai Mu*
Affiliation:
Department of Modern Mechanics, University of Science and Technology of China, Hefei 230026, PR China
Jianling Li
Affiliation:
School of Power and Energy, Northwestern Polytechnical University, Xi'an 710072, PR China
Ting Si*
Affiliation:
Department of Modern Mechanics, University of Science and Technology of China, Hefei 230026, PR China
*
†Email addresses for correspondence: mukai@ustc.edu.cn, tsi@ustc.edu.cn
†Email addresses for correspondence: mukai@ustc.edu.cn, tsi@ustc.edu.cn
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Abstract

An experimental study on the aerobreakup of a wall-attached droplet induced by a shock wave is carried out in this work. The shock wave and the post-wave air stream are generated by a shock tube facility, and the dynamics of droplet breakup are captured through high-speed imaging from the side, the oblique front and the back views, respectively. The wall-attached droplets with different wettabilities are considered, including the hydrophobic, hemispherical and hydrophilic ones. For the convenience of analysis, droplets with different wettabilities are unified with the same equivalent radius and, thus, the same Weber number and Reynolds number. Different from the evolution of a free spherical droplet, it is observed that the hydrophobic droplet can develop ‘peak’ structures on the windward and leeward sides, respectively; while the hemispherical and hydrophilic droplets leave a liquid film on the wall. The occurrence of ‘peak’ structures is caused by the local standing vortex on the droplet windward and leeward sides, and the residual of a liquid film on a solid wall is related to the boundary layer near the wall. Through comparing the height, width and advancing distance of droplet deformation between the spherical droplet and the wall-attached droplets with different wettabilities, it is found that the wall will inhibit the deformation and fragmentation of droplets on the flow direction. The ‘peak’ and film structures are responsible for the deviation of the dimensionless width between spherical and wall-attached droplets. The ‘lip’ structure is related to the recirculation flow at the rear of the droplet, which causes the reverse of velocity on the surface. The radius of the ‘lip’ decreases with the decrease of contact angle. The Rayleigh–Taylor (R–T) and Kelvin–Helmholtz (K–H) instabilities of wall-attached and spherical droplets are also studied by experiments and theoretical analysis. With the decrease of contact angle, the development of the K–H instability hardly changes, while the R–T instability results in a smaller wavelength of perturbation on the windward side. This study is expected to give some guidance for regulating the aerodynamic fragmentation of droplets in engineering applications.

JFM classification

Drops and Bubbles: Breakup/coalescence Aerodynamics: High-speed flow Compressible Flows: Shock waves
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 971 , 25 September 2023 , A31
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Copyright
© The Author(s), 2023. Published by Cambridge University Press

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Guo et al. Supplementary Movie 1

Movie 1: Deformation process of a hydrophobic droplet captured from three views.

Download Guo et al. Supplementary Movie 1(Video)
Video 3.3 MB

Guo et al. Supplementary Movie 2

Movie 2: Deformation process of a hemispherical droplet captured from three views.

Download Guo et al. Supplementary Movie 2(Video)
Video 2.7 MB

Guo et al. Supplementary Movie 3

Movie 3: Deformation process of a hydrophilic droplet captured from three views.

Download Guo et al. Supplementary Movie 3(Video)
Video 2.3 MB