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

doi:10.1088/1674-1056/27/11/114701

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.

Keywords: wake structures asymmetric geometry pitching foil

Received: 21 June 2018
Revised: 28 August 2018
Accepted manuscript online:

PACS:	47.63.-b	(Biological fluid dynamics)
	47.32.cd	(Vortex stability and breakdown)

Fund:

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).

Corresponding Authors: Guang Pan
E-mail: panguang@nwpu.edu.cn

Cite this article:

LiMing Chao(朝黎明), Guang Pan(潘光), Dong Zhang(张栋) Effect of the asymmetric geometry on the wake structures of a pitching foil 2018 Chin. Phys. B 27 114701

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