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首页> 外文期刊>Journal of Sound and Vibration >The propagation of acoustic waves in a slowly varying duct with radially sheared axial mean flow
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The propagation of acoustic waves in a slowly varying duct with radially sheared axial mean flow

机译：声波在具有径向剪切轴向平均流的缓慢变化的管道中的传播

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摘要

We consider the propagation of acoustic waves along a cylindrical duct carrying radially sheared axial mean flow, in which the duct radius is allowed to vary slowly along the axis. In previous work [A.J. Cooper & N. Peake, Journal of Fluid Mechanics 445 (2001) 207-234.] radially sheared axial mean flow with nonzero swirl in a slowly varying duct was considered, but in this paper we set the swirl to zero, thereby allowing simplification of the calculations of both the mean and unsteady flows. In this approach the acoustic wavenumber and corresponding eigenfunction are determined locally, while the wave amplitude is found by solving an evolution equation along the duct. Sample results are presented, including a case in which, perhaps surprisingly, the number of cut-on modes increases as the duct radius decreases.
机译：我们考虑了声波沿着承载径向剪切轴向平均流的圆柱形导管的传播，其中导管半径允许沿轴缓慢变化。在以前的工作中Cooper＆N. Peake，流体力学杂志445（2001）207-234。]考虑了在缓慢变化的管道中具有非零涡旋的径向剪切轴向平均流量，但是在本文中，我们将涡旋设为零，从而简化了平均流量和非恒定流量的计算。在这种方法中，声波数和相应的本征函数是局部确定的，而波幅是通过求解沿管道的演化方程来找到的。给出了示例结果，包括其中可能令人惊讶的是，随着风管半径的减小，接通模式的数量增加的情况。

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