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Applications of velocity potential function to acoustic duct propagation and radiation from inlets using finite element theory

机译:速度势函数在声导管传播和进口辐射中的应用有限元理论

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摘要

A finite element velocity potential program was developed to study acoustic wave propagation in complex geometries. For irrotational flows, relatively low sound frequencies, and plane wave input, the finite element solutions showed significant effects of inlet curvature and flow gradients on the attenuation of a given acoustic liner in a realistic variable area turbofan inlet. The velocity potential approach can not be used to estimate the effects of rotational flow on acoustic propagation, since the potential acoustic disturbances propagate at the speed of the media in sheared flow. Approaches are discussed that are being considered for extending the finite element solution to include the far field, as well as the internal portion of the duct. A new matrix partitioning approach is presented that can be incorporated in previously developed programs to allow the finite element calculation to be marched into the far field. The partitioning approach provided a large reduction in computer storage and running times.
机译:开发了一个有限元速度潜力程序来研究声波在复杂几何形状中的传播。对于非旋流,相对较低的声音频率和平面波输入,有限元解决方案显示出入口曲率和流动梯度对实际可变面积涡轮风扇入口中给定的隔音衬套的衰减有显着影响。速度势方法不能用于估计旋转流对声传播的影响,因为潜在的声干扰以剪切流中介质的速度传播。讨论了考虑将有限元解决方案扩展到包括远场以及管道内部的方法。提出了一种新的矩阵划分方法,可以将其合并到以前开发的程序中,以使有限元计算可以进入远场。分区方法大大减少了计算机的存储和运行时间。

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