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首页> 外文期刊>Journal of Fluid Mechanics >The impedance boundary condition for acoustics in swirling ducted flow
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The impedance boundary condition for acoustics in swirling ducted flow

机译:旋转管道流动中声学的阻抗边界条件

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摘要

The acoustics of a straight annular lined duct containing a swirling mean flow is considered. The classical Ingard–Myers impedance boundary condition is shown not to be correct for swirling flow. By considering behaviour within the thin boundary layers at the duct walls, the correct impedance boundary condition for an infinitely thin boundary layer with swirl is derived, which reduces to the Ingard–Myers condition when the swirl is set to zero. The correct boundary condition contains a spring-like term due to centrifugal acceleration at the walls, and consequently has a different sign at the inner (hub) and outer (tip) walls. Examples are given for mean flows relevant to the interstage region of aeroengines. Surface waves in swirling flows are also considered, and are shown to obey a more complicated dispersion relation than for non-swirling flows. The stability of the surface waves is also investigated, and as in the non-swirling case, one unstable surface wave per wall is found.
机译:考虑含有旋流平均流程的直环形衬里管道的声学。 典型的Incard-Myers阻抗边界条件显示为旋转流动不正确。 通过考虑管壁处的薄边界层内的行为,推导出具有旋涡无限薄边界层的正确阻抗边界条件,当涡流设定为零时,这减少了incard-myers条件。 由于壁处的离心加速度,正确的边界条件包含弹簧状术语,因此在内(毂)和外(尖端)壁上具有不同的兆。 给出了与航空发动机的州间地区相关的平均流量。 还考虑了旋流中的表面波,并且被示出比对于非旋流来遵循更复杂的色散关系。 还研究了表面波的稳定性,并且如在非旋流情况下,发现每个壁的一个不稳定的表面波。

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