Taylor-Couette-Poillille流中的边界层和内部分离
Boundary-Layer and Interior Separations in the Taylor--Couette--Poiseuille Flow
摘要:
在这篇文章中,我们得到了严格的表征的边界层和内部分离的泰勒-库埃特-普瓦勒(TCP)流。所获得的结果提供了一个严格的表征如何,何时何地产生的传播泰勒涡(PTV)。特别是,与通常认为的相反,我们表明,PTV不出现后的第一个动力学分岔,它们只出现在泰勒数进一步增加,以跨越另一个临界值,使结构分岔发生。这种结构分叉对应于物理空间中流动结构的边界层和内部分离。
英文摘要:
In this article, we derive a rigorous characterization of the boundary-layer and interior separations in the Taylor-Couette-Poiseuille (TCP) flow. The results obtained provide a rigorous characterization on how, when and where the propagating Taylor vortices (PTV) are generated. In particular, contrary to what is commonly believed, we show that the PTV do not appear after the first dynamical bifurcation, and they appear only when the Taylor number is further increased to cross another critical value so that a structural bifurcation occurs. This structural bifurcation corresponds to the boundary-layer and interior separations of the flow structure in the physical space.
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