In this study, we investigate dynamic behaviour and the linear stability of collapsible channel flows under various physical parameters and boundary conditions. Two approaches are adopted in the study: one is a fully coupled numerical solver for solving fluid-structure governing equations; the other is an eigenvalue solver which is used for linear stability analysis. We focus on the situation where the inlet pressure drop (relative to the outlet) is prescribed. Static divergence and mode-1 instabilities are found in addition to higher modes, which can co-exist in a structure which is quite different from the cascade structure identified with the flow rate inlet boundary condition. Mode transfer from lower to higher modes is also discovered as the stiffness of the elastic wall is reduced. Finally, our results are compared with the asymptotic prediction for high Reynolds number and tension region.

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