Leakage-Flow-Induced Wave Generated on a Thin Film : Dispersion Relation and Stability Analysis(<Special Issue>Dynamics & Design Conference 2009)
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- KUDOU Gaku
- 青山学院大学大学院理工学研究科
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- WATANABE Masahiro
- Department of Mechanical Engineering, Aoyama Gakuin University
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- HARA Kensuke
- Department of Mechanical Engineering, Aoyama Gakuin University
Bibliographic Information
- Other Title
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- 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)
- 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)
- ハクマク フィルム ニ ハッセイ スル スキマナガレ レイキ フアンテイ ハドウ ブンサン カンケイ ト アンテイセイ カイセキ
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Abstract
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.
Journal
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- TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C
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TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C 76 (765), 1301-1307, 2010
The Japan Society of Mechanical Engineers
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Keywords
Details 詳細情報について
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- CRID
- 1390282681362661120
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- NII Article ID
- 110007619493
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- NII Book ID
- AN00187463
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- ISSN
- 18848354
- 03875024
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- NDL BIB ID
- 10716932
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- Text Lang
- ja
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- Data Source
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed