Abstract

It is known that Taylor-Couette flow shows a transition in the Reynolds number dependency of the mean torque near Re 〜 10000. To investigate the turbulent vortical structures in the transition state, direct numerical simulations of Taylor-Couette flow with fixed outer cylinder have been conducted in the different Reynolds numbers from Re = 8000 to 25000. As the Reynolds number increases, the fine scale eddies are more populated in a large part of the domain and they tend to take more various angles. The joint probability functions of the tilting angles of eddies with respect to the tangential direction and their radial positions exhibit preferential distributions, which is due to the shear layer between the large scale Taylor vortex motions. The present results suggest that the distribution and the orientation of the fine scale eddies in this Reynolds number range are greatly affected by the Taylor vortex structure.

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