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The formation process of annular starting jets

Published online by Cambridge University Press:  06 October 2022

Jianwei Zhu Open the ORCID record for Jianwei Zhu [Opens in a new window] ,
Guoqing Zhang Open the ORCID record for Guoqing Zhang [Opens in a new window] ,
Lei Gao Open the ORCID record for Lei Gao [Opens in a new window]  and
S.C.M. Yu Open the ORCID record for S.C.M. Yu [Opens in a new window]
Jianwei Zhu
Affiliation:
Key Laboratory of Dynamics and Control of Flight Vehicle, School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, PR China
Guoqing Zhang*
Affiliation:
Key Laboratory of Dynamics and Control of Flight Vehicle, School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, PR China
Lei Gao
Affiliation:
School of Aeronautics and Astronautics, Sichuan University, Chengdu 610065, PR China
S.C.M. Yu
Affiliation:
Department of Aeronautical and Aviation Engineering, The Hong Kong Polytechnic University, Kowloon, Hong Kong, PR China
*
†Email address for correspondence: zhanggq@bit.edu.cn
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Abstract

The formation and evolution process of the outer vortex ring (denoted as OV0) in annular starting jets has been studied numerically at stroke ratio $3\leqslant L_m/D\leqslant 8$, $\beta \leqslant 0.8$ and Reynolds number $400\leqslant Re_{\triangle R}\leqslant 1400$, where $D$ is the outer diameter of orifice, $L_m$ is the length of the fluid column, $\beta$ and $\triangle R$ are the ratio and difference between inner and outer radii of the annular orifice, respectively. The initial formation process of OV0 is found to be similar to that of the leading vortex ring in a circular starting jet, but the circulation strength is relatively lower and decreases gradually with increasing $\beta$. The pinch-off process will also appear after OV0 grows to a certain size but is different from that of the circular starting jet. On one hand, OV0 is stretched and deformed by the strain field generated by the trailing jet's instability, and vorticity would be shed. On the other hand, OV0 accelerates the irrotational fluids around it under viscous action so as to form the induced velocity field, which would consume energy causing it to shed vorticity further under the limit of the Kelvin–Benjamin variational principle. Furthermore, OV0 would eventually become a stable vortex ring whose non-dimensional circulation ($\varGamma /(U_{0max}D$)) is found to be between 0.59–0.62 and it would not change with different $L_m/D$ at $\beta =0.5$, which is much less than the 2–2.5 of circular starting jets.

JFM classification

Wakes/Jets: Jets Vortex Flows: Vortex interactions
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 949 , 25 October 2022 , A47
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Copyright
© The Author(s), 2022. Published by Cambridge University Press

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