Dynamics of a Tube Conveying Fluid

Details Dynamics of a Tube Conveying Fluid Dynamics of a Tube Conveying Fluid

2001-05-16

arxiv.org/abs/nlin/0105038v1

Nonlinear Sciences

Chaotic Dynamics

4 pages, 3 figures

Scientific paper

A tube conveying a large amount of fluid with a free outlet does not sit still. We construct and analyze a nonlinear evolution equation describing such phenomena. Two types of boundary conditions at the inlet are considered, one for which it is clamped and one for which it is hinged. Analyzing the linear stability of the trivial solution, we find that with the former boundary conditions, it exhibits a ``flutter'' instability, while with the latter boundary conditions, it exhibits a ``rotation'' instability. These instabilities and the nonlinear behaviors of the system are also studied numerically.

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