Abstract
Taylor vortex flow between two concentric rotating cylinders with finite axial length includes various patterns of laminar and turbulent flows, and its behavior has attracted great interests. When mode bifurcation occurs, quantitative parameters such as the volume-averaged energy change rapidly. It is important to visualize the behaviors of vortices. In this study, a three-dimensional visualization system with respect to time is devised. This system can change the viewpoint of flow visualization, and we can observe the track of a vortex from any point. The volume-averaged energy is projected to the track of the center of a vortex. The proposed system can help to investigate the relationship between the mode bifurcation process and the volume-averaged energy.
Highlights
Taylor vortex flow has been studied as an important vortex flow since it was first reported by Taylor in 1923 [1]
The proposed system can help to investigate the relationship between the mode bifurcation process and the volume-averaged energy
In a concentric double cylinder, when the rotation speed of the inner cylinder is gradually increased from zero, Couette flow first occurs in the gap between the inner and outer cylinders
Summary
Taylor vortex flow has been studied as an important vortex flow since it was first reported by Taylor in 1923 [1]. When the rotation speed of the inner cylinder is further increased, Couette flow changes to Taylor vortex flow, in which many torus flows called cells are stacked, to wavy Taylor vortex flow, and to turbulent flow. Martinand et al [3] showed that imposing axial flow in the annulus and radial flow through the cylindrical walls in a Taylor Couette system alters the stability of the flow. To analyze these unsteady flows, authors focused on quantitative values such as a mean energy [4]. The kinetic energy and enstrophy for flows with different final modes are compared
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