WSEAS Transactions on Fluid Mechanics
Print ISSN: 1790-5087, E-ISSN: 2224-347X
Volume 16, 2021
Flow Induced Vibration of Cantilever Tapered Pipes Transporting
Fluid
Author:
Abstract: A cantilevered tapered slender pipe conveying an incompressible, inviscid fluid of one
material is not a conserved system. For certain large fluid velocity, the pipe with uniform cross section
would go unstable via flutter Hopf bifurcation. In this paper, the flow induced vibration for cantilever
tapering pipe transporting a fluid is presented. Euler Bernoulli and Hamilton’s theories are applied to
develop the mathematical model which will be solved using well known Galerkan’s procedure. The
effect of smooth tapering of the circular cross sectional area, flow velocity and pipe to fluid mass
fraction on the complex natural frequencies and stability will be investigated.