553 狭い流路内に支持されたフィルムに発生する流れ励起不安定波動の分散関係と安定性解析

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  • 553 Dispersion Relation and Stability Analysis of a Flow-Induced Wave Generated to a Thin Film in a Narrow Passage

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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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