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An analytical study on the turbulent taylor vortex flow between concentric cylinders. Prediction of the flow field by using the .KAPPA.-.EPSILON. model.

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  • 同心円筒間の乱流テーラー渦流れに関する研究 κ‐εモデルによる予測
  • ドウシン エントウカン ノ ランリュウ テーラー ウズ ナガレ ニ カンスル

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Abstract

The flow accompanied with turbulent Taylor vortices between inner-rotating and outer-stationary cylinders is analytically treated by using two kinds of κ-ε models. The results obtained with both models are generally in good agreement with the existing experimental results. No marked tendency for the secondary flow to disappear with increasing rotating speed is found within the range of the calculation. For a fixed value of Reynolds number, there exists a certain radius ratio which makes the intensity of the vortex maximum. The more this intensity decreases, the more the turbulence energy increases. As the radius ratio approaches unity, the intensity of the vortex decreases monotonously. Conversely, the intensity of the circumferential component of the secondary flow continues to increase until a radius ratio very close to unity. The hypothesis that the vortex determines its shape so that the total amount of the dissipation rate becomes maximum is substantially consistent with the experimental evidence.

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