Periodic points for two-dimensional Stokes flow in a rectangular cavity

被引：29
|
作者：
Meleshko, VV [1 ]
Peters, GWM [1 ]
机构：
[1] EINDHOVEN UNIV TECHNOL,FAC MECH ENGN,CTR POLYMERS & COMPOSITES,5600 MB EINDHOVEN,NETHERLANDS
来源：
PHYSICS LETTERS A | 1996年 / 216卷 / 1-5期
关键词：
D O I：
10.1016/0375-9601(96)00258-7
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The locations of periodic points for Stokes flow in a rectangular cavity is studied. Discontinuous and sinusoidal corotating periodic motions of the top and bottom walls are considered. An effective algorithm for one-dimensional search based on the use of symmetry conditions of the flow is proposed for both cases. It permits one to find and classify all periodic points of low-order periodicity. Specific features of the bifurcation diagrams are noticed. Two typical examples of Row with the dye blob situated around an elliptic or a hyperbolic periodic point show a striking difference in mixing properties.
引用
收藏
页码：87 / 96
页数：10
相关论文
共 50 条
  • [1] Periodic points for two-dimensional stokes flow in a rectangular cavity
    Meleshko, V.V.
    Peters, G.W.M.
    Physics Letters, Section A: General, Atomic and Solid State Physics, 1996, 216 (1-5): : 87 - 96
  • [2] Periodic points for two-dimensional Stokes flow in a rectangular cavity
    Phys Lett Sect A Gen At Solid State Phys, 1-5 (87):
  • [3] AN ERROR ESTIMATE FOR TWO-DIMENSIONAL STOKES DRIVEN CAVITY FLOW
    Cai, Zhiqiang
    Wang, Yanqiu
    MATHEMATICS OF COMPUTATION, 2009, 78 (266) : 771 - 787
  • [4] Stokes flow in a slowly varying two-dimensional periodic pore
    Kitanidis, PK
    Dykaar, BB
    TRANSPORT IN POROUS MEDIA, 1997, 26 (01) : 89 - 98
  • [5] Stokes Flow in a Slowly Varying Two-Dimensional Periodic Pore
    Peter K. Kitanidis
    Bruce B. Dykaar
    Transport in Porous Media, 1997, 26 : 89 - 98
  • [6] Stokes flow in a slowly varying two-dimensional periodic pore
    Stanford Univ, Stanford CA 94305-4020, United States
    Transp Porous Media, 1 (89-98):
  • [7] Three-dimensional flow features in a nominally two-dimensional rectangular cavity
    Di Cicca, G. M.
    Martinez, M.
    Haigermoser, C.
    Onorato, M.
    PHYSICS OF FLUIDS, 2013, 25 (09)
  • [8] STOKES-FLOW IN A TWO-DIMENSIONAL CAVITY WITH MOVING END WALLS
    STURGES, LD
    PHYSICS OF FLUIDS, 1986, 29 (05) : 1731 - 1734
  • [9] TURBULENT FLOW IN A RECTANGULAR CAVITY IN THE WALL OF A TWO-DIMENSIONAL CHANNEL.
    Kabakov, Ya.I.
    Maiorova, A.I.
    Journal of Engineering Physics (English Translation of Inzhenerno-Fizicheskii Zhurnal), 1984, 46 (03): : 252 - 258
  • [10] Fast evaluation of the fundamental singularities of two-dimensional doubly periodic Stokes flow
    Darren Crowdy
    Elena Luca
    Journal of Engineering Mathematics, 2018, 111 : 95 - 110
12345