薄膜フィルムに発生するすきま流れ励起不安定波動 : 分散関係と安定性解析(<特集>D&D2009)

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This paper deals with a theoretical stability analysis of an unstable wave generated on a thin film subjected to leakage-fluid flow. 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 result, the analytical results show that traveling-wave type unstable wave occurs to the thin film due to leakage-fluid flow and clarify the dispersion relation of the wave motion, phase velocity (traveling-wave velocity) and growth rate of the wave. Moreover, the analytical results are verified by experiments on the most unstable wave number and critical flow velocity.
2010-05-25