SPATIAL STABILITY OF INCOMPRESSIBLE ATTACHMENT-LINE FLOW
SPATIAL STABILITY OF INCOMPRESSIBLE ATTACHMENT-LINE FLOW
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DOI：
10.1007/bf00312360
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发表时间：
1995-05-01
影响因子：
3.4
通讯作者：
THEOFILIS, V
中科院分区：
文献类型：
--
作者：
THEOFILIS, V
本文在空间框架内对不可压附着线流进行了线性稳定性分析。摄动方程组的解决使用谱配置。这个系统已经解决了在过去使用的时间的方法和目前的结果被证明是在良好的协议与中性的时间计算。然后给出了零吸力情况下与实验结果直接比较的结果。用于求解本征值问题的全局解方法，除了已知的主模态外，还给出了最小阻尼波的全谱。其中，一个新的模式，以及分离的连续频谱被挑选出来，并进行了讨论。此外，在远场的衰减扰动的条件放松的结果在正弦模式的外观类似于那些发现在经典的Orr-Sommerfeld problem.Finally，连续的频谱被证明是服从渐近分析。表达式推导出的位置，在参数空间中，连续谱，以及实际利益的限制情况下。在大雷诺数限制的连续谱被证明是相同的Orr-Sommerfeld方程。
Linear stability analysis of incompressible attachment-line flow is presented within the spatial framework. The system of perturbation equations is solved using spectral collocation. This system has been solved in the past using the temporal approach and the current results are shown to be in excellent agreement with neutral temporal calculations. Results amenable to direct comparison with experiments are then presented for the case of zero suction.The global solution method utilized for solving the eigenproblem yields, aside from the well-understood primary mode, the full spectrum of least-damped waves. Of those, a new mode, well separated from the continuous spectrum is singled out and discussed. Further, relaxation of the condition of decaying perturbations in the far-field results in the appearance of sinusoidal modes akin to those found in the classical Orr-Sommerfeld problem.Finally, the continuous spectrum is demonstrated to be amenable to asymptotic analysis. Expressions are derived for the location, in parameter space, of the continuous spectrum, as well as for the limiting cases of practical interest. In the large Reynolds number limit the continuous spectrum is demonstrated to be identical to that of the Orr-Sommerfeld equation.