Dispersion Relation Of Flow-induced Wave
Of A Flexible Web Subjected To Fluid Flow In
A Narrow Gap
Author(s)
M. Watanabe, G. Kudou & K. Hara
Abstract
This paper deals with a theoretical stability analysis of a flow-induced wave
generated in a flexible web subjected to fluid flow in a narrow gap. The flexible
web is subjected to both fluid flow and in-plane tensile force. The flow-induced
wave occurs to the flexible web resulting from fluid-structure interaction
between out-of-plane motion of the flexible web and the fluid flow. The effect of
the fluid flow and tensile force on the stability of the wave is examined. The
theoretical results show that traveling-wave type unstable wave occurs to the
flexible web due to the fluid flow in the narrow gap, and clarify the dispersion
relation of the flow-induced wave of the web, i.e., phase velocity (traveling-wave
speed) and growth rate of the wave, which are as a function of the flow velocity
and tensile force. The theoretical results are verified by experiments on the most
unstable wave number and critical flow velocity.
Keywords: flow-induced wave, flexible web, dispersion relation, fluid-structure
interaction.
1 Introduction
In the manufacturing process of flexible materials, such as a paper, sheet and
plastic films, the flexible materials are subjected to a fluid flow in a narrow gap
for non-contact support and drying. However the interaction of the thin film with
the fluid flow causes an unstable wave. The flow-induced wave reduces the
process efficiency and generates noise, in some case, causes fatigue failure to the
thin film.
Keywords
flow-induced wave, flexible web, dispersion relation, fluid-structure
interaction
Related Book
Other papers in this volume
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