Altmeyer S, Hoffmann Ch, Heise M, Abshagen J, Pinter A, Lücke M, Pfister G
Institut für Theoretische Physik, Universität des Saarlandes, D-66123 Saarbrücken, Germany.
Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Jun;81(6 Pt 2):066313. doi: 10.1103/PhysRevE.81.066313. Epub 2010 Jun 23.
We present numerical simulations as well as experimental results concerning transitions between Taylor vortices and spiral vortices in the Taylor-Couette system with rigid, nonrotating lids at the cylinder ends. These transitions are performed by wavy structures appearing via a secondary bifurcation out of Taylor vortices and spirals, respectively. In the presence of these axial end walls, pure spiral solutions do not occur as for axially periodic boundary conditions but are substituted by primary bifurcating, stable wavy spiral structures. Similarly to the periodic system, we found a transition from Taylor vortices to wavy spirals mediated by so-called wavy Taylor vortices and, on the other hand, a transition from wavy spirals to Taylor vortices triggered by a propagating defect. We furthermore observed and investigated the primary bifurcation of wavy spirals out of the basic circular Couette flow with Ekman vortices at the cylinder ends.
我们展示了关于泰勒 - 库埃特系统中泰勒涡旋和螺旋涡旋之间转变的数值模拟以及实验结果，该系统在圆柱两端具有刚性、不旋转的盖子。这些转变分别通过泰勒涡旋和螺旋涡旋的二次分岔出现的波状结构来实现。在存在这些轴向端壁的情况下，不像轴向周期边界条件那样会出现纯螺旋解，而是被一次分岔的稳定波状螺旋结构所取代。与周期系统类似，我们发现了由所谓的波状泰勒涡旋介导的从泰勒涡旋到波状螺旋的转变，另一方面，由传播缺陷引发了从波状螺旋到泰勒涡旋的转变。我们还观察并研究了在圆柱两端带有埃克曼涡旋的基本圆形库埃特流中波状螺旋的一次分岔。
