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3-D Lagrangian-based investigations of the time-dependent cloud cavitating flows around a Clark-Y hydrofoil with special emphasis on shedding process analysis

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Abstract

In the present paper, the unsteady cavitating flow around a 3-D Clark-Y hydrofoil is numerically investigated with the filter-based density correction model (FBDCM), a turbulence model and the Zwart-Gerber-Belamri (ZGB) cavitation model. A reasonable agreement is obtained between the numerical and experimental results. To study the complex flow structures more straightforwardly, a 3-D Lagrangian technology is developed, which can provide the particle tracks and the 3-D Lagrangian coherent structures (LCSs). Combined with the traditional methods based on the Eulerian viewpoint, this technology is used to analyze the attached cavity evolution and the re-entrant jet behavior in detail. At stage I, the collapse of the previous shedding cavity and the growth of a new attached cavity, the significant influence of the collapse both on the suction and pressure sides are captured quite well by the 3-D LCSs, which is underestimated by the traditional methods like the iso-surface of Q-criteria. As a kind of special LCSs, the arching LCSs are observed in the wake, induced by the counter-rotating vortexes. At stage II, with the development of the re-entrant jet, the influence of the cavitation on the pressure side is still not negligible. And with this 3-D Lagrangian technology, the tracks of the re-entrant jet are visualized clearly, moving from the trailing edge to the leading edge. Finally, at stage III, the re-entrant jet collides with the mainstream and finally induces the shedding. The cavitation evolution and the re-entrant jet movement in the whole cycle are well visualized with the 3-D Lagrangian technology. Moreover, the comparison between the LCSs obtained with 2-D and 3-D Lagrangian technologies indicates the advantages of the latter. It is demonstrated that the 3-D Lagrangian technology is a promising tool in the investigation of complex cavitating flows.

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Authors and Affiliations

  1. State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan, 430072, China

    Huai-yu Cheng  (程怀玉), ** Long  (龙新**), Bin Ji  (季斌) & **ao-rui Bai  (白晓蕊)

  2. Hubei Key Laboratory of Waterjet Theory and New Technology, School of Power and Mechanical Engineering, Wuhan, 430072, China

    Huai-yu Cheng  (程怀玉), ** Long  (龙新**) & **ao-rui Bai  (白晓蕊)

  3. China Ship Development and Design Center, Wuhan, 430072, China

    Qi Liu  (刘琪)

Authors
  1. Huai-yu Cheng  (程怀玉)
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  2. ** Long  (龙新**)
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  3. Bin Ji  (季斌)
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  4. Qi Liu  (刘琪)
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  5. **ao-rui Bai  (白晓蕊)
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Corresponding author

Correspondence to Bin Ji  (季斌).

Additional information

Project supported by the National Natural Science Foundation of China (Project Nos. 11772239, 51576143 and 91752105), the Outstanding Youth Foundation of Natural Science Foundation of Hubei Province (Grant No. 2017CFA048).

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Cheng, Hy., Long, Xp., Ji, B. et al. 3-D Lagrangian-based investigations of the time-dependent cloud cavitating flows around a Clark-Y hydrofoil with special emphasis on shedding process analysis. J Hydrodyn 30, 122–130 (2018). https://doi.org/10.1007/s42241-018-0013-x

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  • DOI: https://doi.org/10.1007/s42241-018-0013-x

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