Stability of Thin Pipes with an Internal Flow

Abstract

<p>The stability behaviour of a thin clamped-ended pipe with an internal flow is determined. Classical potential flow theory is used to determine the unsteady fluid forces and the motion of the pipe is represented by the Flugge-Kempner equation. The solution is obtained using Fourier integral theory and the method of Galerkin.</p> <p>Theoretical results are compared with experiments as well as previous work.</p>