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首页> 外文期刊>Studies in Applied Mathematics >THE NONLINEAR CRITICAL-WALL LAYER IN A PARALLEL SHEAR FLOW
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THE NONLINEAR CRITICAL-WALL LAYER IN A PARALLEL SHEAR FLOW

机译:平行剪切流中的非线性临界壁层

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摘要

The nonlinear critical layer theory is developed for the case where the critical point is close enough to a solid boundary so that the critical layer and viscous wall layers merge. It is found that the flow structure differs considerably from the symmetric ''cat's eye'' pattern obtained by Benney and Bergeron [1] and Haberman [2]. One of the new features is that higher harmonics generated by the critical layer are in some cases induced in the outer flow at the same order as the basic disturbance, As a consequence, the lowest-order critical layer problem must be solved numerically, In the inviscid limit, on the other hand, a closed-form solution is obtained. It has continuous vorticity and is compared with the solutions found by Bergeron [3], which contain discontinuities in vorticity across closed streamlines. [References: 22]
机译:非线性临界层理论是针对临界点足够接近实体边界以使临界层和粘性壁层合并的情况而开发的。发现流动结构与Benney和Bergeron [1]和Haberman [2]获得的对称“猫眼”模式有很大不同。新功能之一是,在某些情况下,由临界层产生的高次谐波会在外流中以与基本扰动相同的顺序产生,因此,必须从数值上解决最低阶临界层问题。另一方面,获得了封闭形式的解。它具有连续的涡流,并与Bergeron [3]发现的解决方案进行了比较,该解决方案包含封闭流线中涡流的不连续性。 [参考:22]

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