Influence of wall shape on vortex formation in modulated channel flow
Influence of wall shape on vortex formation in modulated channel flow
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DOI：
10.1063/1.1603747
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发表时间：
2003-09
影响因子：
4.6
通讯作者：
H. Zhou;R. Martinuzzi;R. Khayat;A. Straatman;Ehab Abu-Ramadan
中科院分区：
文献类型：
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作者：
H. Zhou;R. Martinuzzi;R. Khayat;A. Straatman;Ehab Abu-Ramadan
本文对具有任意形状周期性波形壁面的通道内流动进行了数值研究。使用微扰方法，弱调制振幅，或有限体积技术，强振幅。在稳定层流状态下，在很宽的振幅、波长和雷诺数范围内，对正弦、弓形和三角形调制的流动进行了研究。对于弱壁面调制（e<0.3，α<2，其中e和α分别为无量纲半波高和波长），发现沿调制壁面的流动行为沿着为边界层类型。因此，每种调制形状的分离临界雷诺数Rec可以表示为e和α的显式函数，而分离位置和压力分布沿着调制壁面尺度随e、α和Rec而变化。对于强调制，边界层模型不再能令人满意地预测流动特性，并且与弱调制的趋势存在偏差。
The flow inside channels with periodic, wavy walls of arbitrary shape is considered numerically. Solutions are obtained using either a perturbation approach, for weak modulation amplitude, or a finite volume technique, for strong amplitude. The flow is examined for sinusoidal, arched and triangular modulation over a wide range of amplitude, wavelength and Reynolds number in the steady laminar regime. For weak wall modulation (e<0.3, α<2, where e and α are the dimensionless half-wave height and wavelength, respectively), it is found that the flow behavior along the modulated wall is of the boundary-layer type. As such, the critical Reynolds number, Rec, for separation for each modulation shape can be expressed as an explicit function of e and α, while the location of separation and pressure distribution along the modulated wall scale with e, α, and Rec. For strong modulations, the boundary layer model is no longer satisfactory to predict the flow behavior and deviations from the trends found for weaker mod...