Two-and three-dimensional wake transitions of an impulsively started uniformly rolling circular cylinder

被引:8
|
作者
Houdroge, F. Y. [1 ]
Leweke, T. [2 ]
Hourigan, K. [1 ]
Thompson, M. C. [1 ]
机构
[1] Monash Univ, Dept Mech & Aerosp Engn, FLAIR, Clayton, Vic 3800, Australia
[2] Aix Marseille Univ, CNRS, IRPHE, Cent Marseille, F-13384 Marseille, France
基金
澳大利亚研究理事会;
关键词
aerodynamics; flow-structure interactions; wakes; FLOQUET STABILITY ANALYSIS; FREQUENCY SELECTION; REYNOLDS-NUMBERS; INSTABILITY; FLOW; DYNAMICS; VORTICES; VISUALIZATION;
D O I
10.1017/jfm.2017.325
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
This paper presents the characteristics of the different stages in the evolution of the wake of a circular cylinder rolling without slipping along a wall at constant speed, acquired through numerical stability analysis and two- and three-dimensional numerical simulations. Reynolds numbers between 30 and 300 are considered. Of importance in this study is the transition to three-dimensionality from the underlying two-dimensional periodic flow and, in particular, the way that the associated transitions influence the fluid forces exerted on the cylinder and the development and the structure of the wake. It is found that the steady two-dimensional flow becomes unstable to three-dimensional perturbations at Re-c,Re-3D = 37, and that the transition to unsteady two-dimensional flow - or periodic vortex shedding - occurs at Re-c,Re-2D = 88, thus validating and refining the results of Stewart et al. (J. Fluid Mech. vol. 648, 2010, pp. 225-256). The main focus here is on Reynolds numbers beyond the transition to unsteady flow at Rec; 2D = 88. From impulsive start up, the wake almost immediately undergoes transition to a periodic two-dimensional wake state, which, in turn, is three-dimensionally unstable. Thus, the previous three-dimensional stability analysis based on the two-dimensional steady flow provides only an element of the full story. Floquet analysis based on the periodic two-dimensional flow was undertaken and new three-dimensional instability modes were revealed. The results suggest that an impulsively started cylinder rolling along a surface at constant velocity for Re & 90 will result in the rapid development of a periodic two- dimensional wake that will be maintained for a considerable time prior to the wake undergoing three-dimensional transition. Of interest, the mean lift and drag coefficients obtained from full three-dimensional simulations match predictions from two-dimensional simulations to within a few per cent.
引用
收藏
页码:32 / 59
页数:28
相关论文
共 50 条
  • [1] Three-dimensional direct numerical simulation of wake transitions of a circular cylinder
    Jiang, Hongyi
    Cheng, Liang
    Draper, Scott
    An, Hongwei
    Tong, Feifei
    JOURNAL OF FLUID MECHANICS, 2016, 801 : 353 - 391
  • [2] TEMPORAL DEVELOPMENT OF THE WAKE OF A NON-IMPULSIVELY STARTED CIRCULAR CYLINDER
    Tonui, Nelson
    Sumner, David
    PROCEEDINGS OF THE ASME FLUIDS ENGINEERING DIVISION SUMMER CONFERENCE, VOL 1, PTS A-C, 2009, : 1279 - 1286
  • [3] Three-dimensional instabilities in the wake of a circular cylinder
    Thompson, M
    Hourigan, K
    Sheridan, J
    EXPERIMENTAL THERMAL AND FLUID SCIENCE, 1996, 12 (02) : 190 - 196
  • [4] NUMERICAL STUDY OF THE FLOW IN THE WAKE OF AN IMPULSIVELY STARTED ROTATING AND TRANSLATING CIRCULAR CYLINDER
    Ghosh, S. K.
    Mukherjea, S. K.
    Datta, B. N.
    PROCEEDINGS OF THE ASME INTERNATIONAL MECHANICAL ENGINEERING CONGRESS AND EXPOSITION - 2010, VOL 7, PTS A AND B, 2012, : 1153 - 1162
  • [5] DEVELOPMENT OF THE WAKE BEHIND A CIRCULAR-CYLINDER IMPULSIVELY STARTED INTO ROTATORY AND RECTILINEAR MOTION
    CHEN, YM
    OU, YR
    PEARLSTEIN, AJ
    JOURNAL OF FLUID MECHANICS, 1993, 253 : 449 - 484
  • [6] Bifurcation theory for three-dimensional flow in the wake of a circular cylinder
    Barkley, D
    Tuckerman, LS
    Golubitsky, M
    PHYSICAL REVIEW E, 2000, 61 (05): : 5247 - 5252
  • [7] Effect of confinement on three-dimensional stability in the wake of a circular cylinder
    Camarri, Simone
    Giannetti, Flavio
    JOURNAL OF FLUID MECHANICS, 2010, 642 : 477 - 487
  • [8] Three-dimensional vorticity measurements in the wake of a yawed circular cylinder
    Zhou, T.
    Wang, H.
    Razali, S. F. Mohd.
    Zhou, Y.
    Cheng, L.
    PHYSICS OF FLUIDS, 2010, 22 (01) : 10 - 15
  • [9] Effect of three-dimensional plasma actuation on the wake of a circular cylinder
    Bhattacharya, S.
    Gregory, James W.
    50th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition, 2012,
  • [10] Three-dimensional Floquet stability analysis of the wake of a circular cylinder
    Barkley, D
    Henderson, RD
    JOURNAL OF FLUID MECHANICS, 1996, 322 : 215 - 241