BIFURCATION PHENOMENA IN THE SHORT TAYLOR-COUETTE CAVITY WITH THE ASYMMETRIC END-WALLS AT LOW Re

E. Tuliszka-Sznitko
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Abstract

The paper presents the results of the numerical investigations (DNS) of unsteady phenomena observed in the short Taylor-Couette configurations (=H/(R2-R1)=2.6-4.0) of different radii ratios η=R1/R2=0.25-0.6 with the asymmetric end-wall boundary conditions. The computations are performed at low Reynolds numbers i.e. Re=R1(R2-R1)/=100-200. In such configurations many interesting bifurcation phenomena occur: homoclinic, heteroclinic and doubling period. The paper is thought as complementary to Mullin, Blohm [1] where the analysis is limited to =0.5. The present DNS results confirm that for =0.5 the flow dynamics is organized by a pair of codimension-2 bifurcation points. The DNS study has allowed for the determination of the neutral curves in the 3D parameter space (Re, ) and the detailed analysis of the modulated rotating waves for different . The study has shown that the MRW behavior depends strongly on  and Re. These results are presented in the light of Lopez et al. [2] observations.
低Re下端壁不对称的短TAYLOR-COUETTE腔中的分岔现象
本文给出了不对称端壁边界条件下不同半径比η=R1/R2=0.25 ~ 0.6的短Taylor-Couette构型(=H/(R2-R1)=2.6 ~ 4.0)非定常现象的数值研究结果。计算在低雷诺数下进行,即Re= R1(R2-R1)/ 100-200。在这种构型中会出现许多有趣的分岔现象:同斜、异斜和倍周期。本文被认为是对Mullin, Blohm[1]的补充,其中的分析仅限于0.5。目前的DNS结果证实,对于0.5,流动动力学是由一对共维2分岔点组织的。DNS研究允许在三维参数空间(Re,)中确定中性曲线,并详细分析不同的调制旋转波。研究表明,MRW行为强烈依赖于Re。这些结果是根据Lopez等人[2]的观察结果提出的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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