Flow-Induced Wave Generated on a Thin Film in a Narrow Gap
This paper deals with a theoretical stability analysis of an unstable wave generated on a thin film subjected to a fluid flow in a narrow gap. In stability analysis, the basic equations of fluid flow around the thin film are based on the Navier-Stokes equations integrated over a gap width between th...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
The Japan Society of Mechanical Engineers
2010-02-01
|
| Series: | Journal of Advanced Mechanical Design, Systems, and Manufacturing |
| Subjects: | |
| Online Access: | https://www.jstage.jst.go.jp/article/jamdsm/4/1/4_1_257/_pdf/-char/en |
| _version_ | 1828265229592559616 |
|---|---|
| author | Gaku KUDOU Masahiro WATANABE Kensuke HARA |
| author_facet | Gaku KUDOU Masahiro WATANABE Kensuke HARA |
| author_sort | Gaku KUDOU |
| collection | DOAJ |
| description | This paper deals with a theoretical stability analysis of an unstable wave generated on a thin film subjected to a fluid flow in a narrow gap. In stability analysis, the basic equations of fluid flow around the thin film are based on the Navier-Stokes equations integrated over a gap width between the thin film surface and side wall, assuming that the gap width is enough small compared with a length of the passage. The structural equation of the thin film in the transverse motion is based on the Kirchhoff-Love's thin-plate model. From these basic equations, the governing equations of the thin film coupled with the fluid flow are obtained, employing the moving boundary conditions of the surface of the thin film. These equations are linearized around the equilibrium position, and the dispersion relation of the wave motion is derived as a function of the flow velocity. As a result, the analytical results show that traveling-wave type unstable wave occurs to the thin film due to the fluid flow in the narrow gap 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. |
| first_indexed | 2024-04-13T04:36:16Z |
| format | Article |
| id | doaj.art-c54ab93c5bed4e3c836c4a014ab90c7d |
| institution | Directory Open Access Journal |
| issn | 1881-3054 |
| language | English |
| last_indexed | 2024-04-13T04:36:16Z |
| publishDate | 2010-02-01 |
| publisher | The Japan Society of Mechanical Engineers |
| record_format | Article |
| series | Journal of Advanced Mechanical Design, Systems, and Manufacturing |
| spelling | doaj.art-c54ab93c5bed4e3c836c4a014ab90c7d2022-12-22T03:02:10ZengThe Japan Society of Mechanical EngineersJournal of Advanced Mechanical Design, Systems, and Manufacturing1881-30542010-02-014125726810.1299/jamdsm.4.257jamdsmFlow-Induced Wave Generated on a Thin Film in a Narrow GapGaku KUDOU0Masahiro WATANABE1Kensuke HARA2Department of Mechanical Engineering, Aoyama Gakuin UniversityDepartment of Mechanical Engineering, Aoyama Gakuin UniversityDepartment of Mechanical Engineering, Aoyama Gakuin UniversityThis paper deals with a theoretical stability analysis of an unstable wave generated on a thin film subjected to a fluid flow in a narrow gap. In stability analysis, the basic equations of fluid flow around the thin film are based on the Navier-Stokes equations integrated over a gap width between the thin film surface and side wall, assuming that the gap width is enough small compared with a length of the passage. The structural equation of the thin film in the transverse motion is based on the Kirchhoff-Love's thin-plate model. From these basic equations, the governing equations of the thin film coupled with the fluid flow are obtained, employing the moving boundary conditions of the surface of the thin film. These equations are linearized around the equilibrium position, and the dispersion relation of the wave motion is derived as a function of the flow velocity. As a result, the analytical results show that traveling-wave type unstable wave occurs to the thin film due to the fluid flow in the narrow gap 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.https://www.jstage.jst.go.jp/article/jamdsm/4/1/4_1_257/_pdf/-char/envibration coupled with fluid motionflutterstability analysisself-excited vibrationwaveflow induced vibration |
| spellingShingle | Gaku KUDOU Masahiro WATANABE Kensuke HARA Flow-Induced Wave Generated on a Thin Film in a Narrow Gap Journal of Advanced Mechanical Design, Systems, and Manufacturing vibration coupled with fluid motion flutter stability analysis self-excited vibration wave flow induced vibration |
| title | Flow-Induced Wave Generated on a Thin Film in a Narrow Gap |
| title_full | Flow-Induced Wave Generated on a Thin Film in a Narrow Gap |
| title_fullStr | Flow-Induced Wave Generated on a Thin Film in a Narrow Gap |
| title_full_unstemmed | Flow-Induced Wave Generated on a Thin Film in a Narrow Gap |
| title_short | Flow-Induced Wave Generated on a Thin Film in a Narrow Gap |
| title_sort | flow induced wave generated on a thin film in a narrow gap |
| topic | vibration coupled with fluid motion flutter stability analysis self-excited vibration wave flow induced vibration |
| url | https://www.jstage.jst.go.jp/article/jamdsm/4/1/4_1_257/_pdf/-char/en |
| work_keys_str_mv | AT gakukudou flowinducedwavegeneratedonathinfilminanarrowgap AT masahirowatanabe flowinducedwavegeneratedonathinfilminanarrowgap AT kensukehara flowinducedwavegeneratedonathinfilminanarrowgap |