| ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS |
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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 |
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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.
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Received: 30 December 2021
Revised: 24 March 2022
Accepted manuscript online: 11 April 2022
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PACS:
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47.32.cb
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(Vortex interactions)
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47.32.cf
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(Vortex reconnection and rings)
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| 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: liam_young@sjtu.edu.cn
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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
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