2424 Dynamics and stability of a cylindrical, flexible rod subjected to annular leakage flow

Abstract

A mathematical model of a slender, flexible rod in annular leakage flow is discussed. Both laminar and turbulent flow may be possible, and a variety of boundary conditions are considered. Off-set of the equilibrium position of the rod is also included. The equations of motion for the fluid and the rod are discretized by application of the finite element method. Stability analysis of the small oscillations of the rod about its equilibrium position is described.