Abstract
We derive a new ``tube law'' for elastic-walled channels, which takes into account the axial stretching that arises because of axial curvature in the base state. We quantify the effect of the new law on oscillatory fluid-structure-interaction modes in the channel and their stability.
Highlights
The study of flows in elastic-walled tubes is of considerable interest in many biomechanical and biomedical applications [1,2]
We extend the theoretical work of Whittaker et al [22] to investigate the interaction between the curvature of the initial configuration and axial tension in the wall, and the effects this has on the stability of perturbations of the wall
The dynamics of the wall is governed by the eigenvalue problem defined by (57) and (60) and is dependent on the shape of the base state (50)
Summary
The study of flows in elastic-walled tubes is of considerable interest in many biomechanical and biomedical applications [1,2].
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