Stability and Bifurcations of Tube Conveying Flow

Abstract

A tube conveying flow becomes unstable by the flutter instability and exhibits chaotic behavior when the flow rate increases sufficiently high. The dynamics of a hanging tube conveying air flow is investigated with varying the flow rate and the length of the tube. Two different boundary conditions at the hanging end of the tube are applied; one is the rigid end, and the other is axially rotatable. Depending on different boundary conditions, several intriguing dynamics and bifurcation sequences are observed. The dynamic modes of the tube are classified according to their symmetries and power spectra.