Numerical study of the Tsylor-Couette flow using DNS/SVV

Abstract eng:
The authors present the results obtained during a numerical investigations of the Tylor-Couette flow in configurations of aspect ratios 11.75 and 3.76, different radii ratios and end-wall boundary conditions. The main purpose of the research is to investigate the influence of geometrical parameters and end-walls boundary conditions on the flow structure, the torque fluctuations and its total values. The results are discussed in the light of Brauckmann, Eckhardt [1] and Dong [2] data obtained with periodicity condition in axial direction. The results are compared also with Wendt [3] experimental results. For the cavity of aspect ratio 3.76 the authors study the laminar-turbulent transition for the radii ratio from the range: 0.375 - 0.821. The authors have found that the transition from the three-cell structure to the one-cell structure occurs only for the lower ratios. Computations are performed for Re up to 3100. All presented results have been obtained with the use of DNS/SVV method in which an artificial Viscous operator is added to Laplace operator to stabilize the computational process for higher Reynolds numbers.

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