The temporal linear stability of the Poiseuille flow in an infinite pipe of uniform elliptic cross-section with a compliant wall is numerically investigated in a broad range of the problem parameters. The pipe wall is modeled as a thin elastic shell, which can be surrounded by viscoelastic foundation; the latter is considered as a distributed set of springs and dampers. In particular, it is shown that the influence of the pipe cross-sectional aspect ratio on the flow stability is significant and nontrivial. An increase in the aspect ratio can enhance or suppress the growth of disturbances depending on both their streamwise wavenumber and the symmetry with respect to the cross-sectional axes.

在具有柔顺壁的均匀椭圆截面无限管中，泊肃叶流的时间线性稳定性在广泛的问题参数范围内进行了数值研究。管壁建模为薄弹性壳，可被粘弹性地基包围；后者被视为一组分布式弹簧和阻尼器。特别是，它表明管道横截面纵横比对流动稳定性的影响是显着且非平凡的。纵横比的增加可以增强或抑制扰动的增长，这取决于它们的流向波数和相对于横截面轴的对称性。