Abstract
In this paper, the dynamic behavior of a collapsible-tube system consisting of a reservoir with inlet and outlet flow conditions is investigated using nonlinear analysis approach. The reservoir is subject to a constant inlet flow rate and the outlet flow rate and the pressure–flow rate relation of the downstream collapsible regime is presented by a constitutive model containing a cubic nonlinearity. Within certain operating regimes, the model exhibits self-excited time-periodic oscillations, which can be identified with pressure-drop oscillations. These oscillations are rationalized to be relaxation oscillations and the qualitative features of the response including the limit cycle and the mechanisms are discussed based on numerical results.
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