Abstract
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.
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