Instability of channel flow with oscillatory wall suction/blowing

Instability of channel flow with oscillatory wall suction/blowing
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振荡壁吸/吹导致通道流动不稳定

DOI:
10.1063/1.2186673
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发表时间:
2006-03
期刊:
影响因子:
4.6
通讯作者:
Lu, XY
Lu, XY
中科院分区:
工程技术2区
文献类型:
--
作者:
Gao, P;Lu, XY

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采用线性稳定性分析和Floquet理论,研究了振荡壁面吸/吹调制槽道流动的稳定性。两个典型的流动与驱动压力梯度或流量常数被考虑。受到振荡壁吸/吹的基本流是具有多个频率分量的时间周期。稳定性问题被配制成一个时间依赖的特征值问题,和Floquet指数使用谱配置法。研究表明,周期性的壁面吸/吹会产生斯托克斯层,斯托克斯层与扰动剪切波相互作用,最终影响扰动的增长。结果表明,振荡壁面吸/吹对槽道流动的调制具有失稳效应,两种典型流动具有相似的稳定性特征。预测了临界雷诺数和波数。
The stability of channel flow modulated by oscillatory wall suction/blowing is investigated using linear stability analysis together with Floquet theory based on numerical calculation and asymptotic expansion. Two typical flows with either the driven pressure gradient or the flow rate constant are considered. The basic flows subject to the oscillatory wall suction/blowing are time periodic with multiple frequency components. The stability problem is formulated into a time-dependent eigenvalue problem, and the Floquet exponents are obtained using a spectral collocation method. It is revealed that the periodic wall suction/blowing induces the Stokes layer, which interacts with the disturbance shear wave and eventually affects the disturbance growth. Results show that the modulations of the oscillatory wall suction/blowing to the channel flows have a destabilizing effect and the similar stability characteristics of both the typical flows occur. Critical Reynolds numbers and wave numbers are predicted for a w...
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