The Proceedings of the Dynamics & Design Conference
Online ISSN : 2424-2993
2009
Session ID : 553
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553 Dispersion Relation and Stability Analysis of a Flow-Induced Wave Generated to a Thin Film in a Narrow Passage
Gaku KUDOUMasahiro WATANABEKensuke HARAHideaki TANAKA
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Abstract
This paper deals with a theoretical stability analysis of a web flutter generated to a thin film subjected to fluid flow in a narrow passage. In the stability analysis, the structural equation of the thin film in the transverse motion is based on the Kirchhoff-Love's thin-plate model and the basic equations of fluid flow around the thin film are based on Navier-Stokes equations. The governing equations of the thin film motion coupled with fluid flow are obtained. As a results, the analytical results show that the traveling wave mode flutter occurs to the thin film due to the fluid flow in the narrow passage when the flow velocity becomes high, and clarify the dispersion relation of the wave motion, wave velocity (phase velocity) and growth rate of the wave.
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© 2009 The Japan Society of Mechanical Engineers
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