Separation regions in two-dimensional high-Reynolds-number flow

被引:1
作者
Zabielski, L
Mestel, AJ
机构
[1] Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2BZ, England
[2] Warsaw Univ Technol, Inst Math, PL-00661 Warsaw, Poland
来源
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2001年 / 457卷 / 2007期
关键词
separation; periodic flow; closed streamlines; rotational forcing;
D O I
10.1098/rspa.2000.0684
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
Two-dimensional flow inside a closed, rigid container is driven by a spatially invariant source of vorticity. At high Reynolds number an asymptotic structure with an inviscid core and boundary layers emerges. For an internal flow, the slip boundary velocity must in general decelerate in order to be periodic. Hence an adverse pressure gradient acts in the standard boundary-layer equations with the associated danger of flow separation. This problem, considered inside a nearly circular container, is found to be regularized by the shear stress and displacement conditions imposed on the boundary layer. Flow reversal can then occur within the layer and the formation of small separation regions can be studied. Both steady and time-periodic motions are considered. Asymptotic solutions in the large-Reynolds-number limit are constructed for various parameter regimes involving the shape perturbation parameter delta and the frequency of time oscillations controlled by the Womersley number alpha (-1).
引用
收藏
页码:599 / 622
页数:24
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