title: Flutter in a quasi-one-dimensional model of a collapsible channel.
abstract: The effects of wall inertia on instabilities in a collapsible channel with a long finite-length flexible wall containing a high Reynolds number flow of incompressible fluid are studied. Using the ideas of interactive boundary layer theory, the system is described by a one-dimensional model that couples inviscid flow outside the boundary layers formed on the channel walls with the deformation of the flexible wall. The observed instability is a form of flutter, which is superposed on the behaviour of the system when the wall mass is neglected. We show that the flutter has a positive growth rate because the fluid loading acts as a negative damping in the system. We discuss these findings in relation to other work on self-excited oscillations in collapsible channels.
authors.affiliation: Manchester Centre for Nonlinear Dynamics and School of Mathematics , University of Manchester , Oxford Road, Manchester M13 9PL, UK.
authors.forename: D
authors.initials: D
authors.lastname: Pihler-Puzović
authors.affiliation: Department of Applied Mathematics and Theoretical Physics , University of Cambridge , Wilberforce Road, Cambridge CB3 0WA, UK.
authors.forename: T J
authors.initials: TJ
authors.lastname: Pedley
keywords: collapsible channel; flutter; interactive boundary layer theory; self-excited oscillations