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Chin. Phys. B, 2022, Vol. 31(8): 084701    DOI: 10.1088/1674-1056/ac65f6

Effect of pressure evolution on the formation enhancement in dual interacting vortex rings

Jianing Dong(董佳宁), Yang Xiang(向阳), Hong Liu(刘洪), and Suyang Qin(秦苏洋)
School of Aeronautics and Astronautics, Shanghai Jiao Tong University, Shanghai 200240, China
Abstract  In the biological locomotion, the ambit pressure is of particular importance to use as a means of propulsion. The multiple vortex rings have been proved to generate additional thrust by interaction, but the mechanism of this thrust enhancement is still unknown. This study examines the effect of ambit pressure on formation enhancement in interacting dual vortex rings. The vortex rings, which have the same formation time, are successively generated in a piston-cylinder apparatus. The finite-time Lyapunov exponent (FTLE) visualizes the flow fields as an indication of Lagrangian coherent structures (LCSs), and the pressure field is calculated based on the digital particle image velocity (DPIV). We extract the back pressure of the rear vortex in dual vortices and the back pressure circulation $\varGamma_{\rm b}$, which is defined as a form of overpressure circulation $\varGamma_{\rm p}$. The $\varGamma_{\rm b}$ has a positive linear relationship with $\varGamma_{\rm p}$. A critical interval distance $d_{\rm cr}^*$ in a range of 0.32-0.42 is found where $\varGamma_{\rm b}$ and $\varGamma_{\rm p}$ reach the maximum synchronously, leading to a full-interaction mode. Moreover, an over-interaction mode and an under-interaction mode are proposed when the dimensionless interval distance $d^*$ is smaller or larger than $d_{\rm cr}^*$. To conclude, the high back pressure caused by vortex interaction can enhance the formation of vortex rings and lead to high thrust.
Keywords:  vortex ring      overpressure      back pressure      finite-time Lyapunov exponent (FTLE)  
Received:  30 December 2021      Revised:  24 March 2022      Accepted manuscript online:  11 April 2022
PACS:  47.32.cb (Vortex interactions) (Vortex reconnection and rings)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 12102259 and 91941301) and China Postdoctoral Science Foundation (Grant No. 2018M642007).
Corresponding Authors:  Suyang Qin     E-mail:

Cite this article: 

Jianing Dong(董佳宁), Yang Xiang(向阳), Hong Liu(刘洪), and Suyang Qin(秦苏洋) Effect of pressure evolution on the formation enhancement in dual interacting vortex rings 2022 Chin. Phys. B 31 084701

[1] Gemmell B J, Troolin D R, Costello J H, ColinS P and Satterlie R A 2015 Journal of The Royal Society Interface 12 20150389
[2] Costello J H, Colin S P, Dabiri J O, Gemmell B J, Lucas K N and Sutherland K R 2021 Annual Review of Marine Science 13 1
[3] MIuijres F T, Johansson L C, Barfield R, Wolf M, Spedding G R and Hedenström A 2008 Science 319 1250
[4] Warrick D R, Tobalske B W and Powers D R 2005 Nature 435 1094
[5] Dickinson M H, Lehmann F O and Sane S P 1999 Science 284 1954
[6] Birch J M and Dickinson M H 2001 Nature 412 729
[7] Lin S J, Xiang Y, Li Z Q, Wang F X and Liu H 2021 Journal of Hydrodynamics 33 725
[8] Dabiri J O, Colin S P, Gemmell B J, et al. 2019 bioRxiv 706762
[9] Colin S P, Costello J H, Dabiri J O, et al. 2012 Plos One 7 e48909
[10] Krueger P S and Gharib M 2003 Physics of Fluids 15 1271
[11] Krueger P S and Gharib M 2005 AIAA Journal 43 792
[12] Didden N 1979 Zeitschrift Für Angewandte Mathematik Und Physik Zamp 30 101
[13] Gao L, Wang X, Yu S C M, et al. 2020 Journal of Fluid Mechanics 902 A27
[14] Krueger P S 2005 Journal of Fluid Mechanics 545 427
[15] Wilson J and Paxson D 2006 Unsteady Ejector Performance:An Experimental Investigation Using a Resonance Tube Driver
[16] Sarohia V, Bernal L and Bui T 1981 Entrainment and thrust augmentation in pulsatile ejector flows
[17] Yamada H and Matsui T 1979 Physics of Fluids 22 1245
[18] Fu Z D, Qin S Y and Liu H 2014 Physics of Fluids 26 011901
[19] Qin S Y, Liu H and Xiang Y 2018 Physics of Fluids 30 011901
[20] Xiang Y, Qin S Y and Liu H 2018 European Journal of Mechanics, BFluids 71 47
[21] Xiang Y, Li Z Q, Qin S Y and Liu H 2021 Experimental Thermal and Fluid Science 129 110452
[22] Lin H Y, Xiang Y, Qin S Y, Xu H and Liu H 2020 Journal of Hydrodynamics 32 1080
[23] Haller G 2015 Annual Review of Fluid Mechanics 47 137
[24] Onu K, Huhn F and Haller G 2015 Journal of Computational Science 7 26
[25] Dabiri J O, Bose S, Gemmell B J, et al. 2013 Journal of Experimental Biology 217 331
[26] Schlueter-Kuck K and Dabiri J O 2016 Phys. Rev. Fluids 1 012501(R)
[27] Sullivan I S, Niemela J J, Hershberger R E, Bolster D and Donnelly R J 2008 Journal of Fluid Mechanics 609 319
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