中国物理B ›› 2018, Vol. 27 ›› Issue (11): 114701-114701.doi: 10.1088/1674-1056/27/11/114701

所属专题: SPECIAL TOPIC — 80th Anniversary of Northwestern Polytechnical University (NPU)

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇    下一篇

Effect of the asymmetric geometry on the wake structures of a pitching foil

LiMing Chao(朝黎明), Guang Pan(潘光), Dong Zhang(张栋)   

  1. 1 School of Marine Science and Technology, Northwestern Polytechnical University, Xi'an 710072, China;
    2 Key Laboratory for Unmanned Underwater Vehicle, Northwestern Polytechnical University, Xi'an 710072, China
  • 收稿日期:2018-06-21 修回日期:2018-08-28 出版日期:2018-11-05 发布日期:2018-11-05
  • 通讯作者: Guang Pan E-mail:panguang@nwpu.edu.cn
  • 基金资助:

    Project supported by the National Natural Science Foundation of China (Grant Nos. 11502210, 51709229, 51879220, 51479170, and 61803306), the National Key Research and Development Program of China (Grant No. 2016YFC0301300), Natural Science Basic Research Plan in Shaanxi Province of China (Grant No. 2018JQ5092).

Effect of the asymmetric geometry on the wake structures of a pitching foil

LiMing Chao(朝黎明)1,2, Guang Pan(潘光)1,2, Dong Zhang(张栋)1,2   

  1. 1 School of Marine Science and Technology, Northwestern Polytechnical University, Xi'an 710072, China;
    2 Key Laboratory for Unmanned Underwater Vehicle, Northwestern Polytechnical University, Xi'an 710072, China
  • Received:2018-06-21 Revised:2018-08-28 Online:2018-11-05 Published:2018-11-05
  • Contact: Guang Pan E-mail:panguang@nwpu.edu.cn
  • Supported by:

    Project supported by the National Natural Science Foundation of China (Grant Nos. 11502210, 51709229, 51879220, 51479170, and 61803306), the National Key Research and Development Program of China (Grant No. 2016YFC0301300), Natural Science Basic Research Plan in Shaanxi Province of China (Grant No. 2018JQ5092).

摘要:

The two-dimensional wake produced by a time-periodic pitching foil with the asymmetric geometry is investigated in the present work. Through numerically solving nonlinear Navier-Stokes equations, we discuss the relationship among the kinematics of the prescribed motion, the asymmetric parameter K ranged as -1 ≤ K ≤ 1, and the types of the wakes including the mP+nS wake, the Bénard-von Kármán wake, the reverse Bénard-von Kármán wake, and the deviated wake. Compared with previous studies, we reveal that the asymmetric geometry of a pitching foil directly affects the foil's wake structures. The numerical results show that the reverse Bénard-von Kármán wake is easily deviated at K<0, while the symmetry-breaking of the reverse Bénard-von Kármán wake is delayed at K>0. Through the vortex dynamic method, we understand that the initial velocity of the vortex affected by the foil's asymmetry plays a key role in the deviation of the reverse Bénard-von Kármán wake. Moreover, we provide a theoretical model to predict the wake deviation of the asymmetric foil.

关键词: wake structures, asymmetric geometry, pitching foil

Abstract:

The two-dimensional wake produced by a time-periodic pitching foil with the asymmetric geometry is investigated in the present work. Through numerically solving nonlinear Navier-Stokes equations, we discuss the relationship among the kinematics of the prescribed motion, the asymmetric parameter K ranged as -1 ≤ K ≤ 1, and the types of the wakes including the mP+nS wake, the Bénard-von Kármán wake, the reverse Bénard-von Kármán wake, and the deviated wake. Compared with previous studies, we reveal that the asymmetric geometry of a pitching foil directly affects the foil's wake structures. The numerical results show that the reverse Bénard-von Kármán wake is easily deviated at K<0, while the symmetry-breaking of the reverse Bénard-von Kármán wake is delayed at K>0. Through the vortex dynamic method, we understand that the initial velocity of the vortex affected by the foil's asymmetry plays a key role in the deviation of the reverse Bénard-von Kármán wake. Moreover, we provide a theoretical model to predict the wake deviation of the asymmetric foil.

Key words: wake structures, asymmetric geometry, pitching foil

中图分类号:  (Biological fluid dynamics)

  • 47.63.-b
47.32.cd (Vortex stability and breakdown)