A Study on Inviscid Flow with a Free Surface over an Undulating Bottom
In this paper, the problem involving inviscid flow with a free surface over an undulating bottom is studied within the framework of linear theory. Applying perturbation analysis in conjunction with the Fourier transform technique, the boundary value problem arising from the flow problem is solved...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Isfahan University of Technology
2016-01-01
|
| Series: | Journal of Applied Fluid Mechanics |
| Subjects: | |
| Online Access: | http://jafmonline.net/JournalArchive/download?file_ID=39804&issue_ID=228 |
| _version_ | 1818352878176174080 |
|---|---|
| author | Srikumar Panda |
| author_facet | Srikumar Panda |
| author_sort | Srikumar Panda |
| collection | DOAJ |
| description | In this paper, the problem involving inviscid flow with a free surface over an undulating bottom is
studied within the framework of linear theory. Applying perturbation analysis in conjunction with
the Fourier transform technique, the boundary value problem arising from the flow problem is solved
analytically. Behaviour of both interface and free-surface profiles, which are unknown at the outset,
are analyzed. It is found that each profile (interface and free-surface) possesses a wave free region at
the far upstream, followed by a modulated downstream wave. It also observed, for the first time, that
the amplitude of the downstream wave is varying. Further, the effects of various system parameters
are analyzed and demonstrated in graphical forms. |
| first_indexed | 2024-12-13T19:00:38Z |
| format | Article |
| id | doaj.art-10119b1a986e4cf38fdb56080c3d5595 |
| institution | Directory Open Access Journal |
| issn | 1735-3572 |
| language | English |
| last_indexed | 2024-12-13T19:00:38Z |
| publishDate | 2016-01-01 |
| publisher | Isfahan University of Technology |
| record_format | Article |
| series | Journal of Applied Fluid Mechanics |
| spelling | doaj.art-10119b1a986e4cf38fdb56080c3d55952022-12-21T23:34:41ZengIsfahan University of TechnologyJournal of Applied Fluid Mechanics1735-35722016-01-019310891096.A Study on Inviscid Flow with a Free Surface over an Undulating BottomSrikumar Panda0Indian Institute of Technology RoparIn this paper, the problem involving inviscid flow with a free surface over an undulating bottom is studied within the framework of linear theory. Applying perturbation analysis in conjunction with the Fourier transform technique, the boundary value problem arising from the flow problem is solved analytically. Behaviour of both interface and free-surface profiles, which are unknown at the outset, are analyzed. It is found that each profile (interface and free-surface) possesses a wave free region at the far upstream, followed by a modulated downstream wave. It also observed, for the first time, that the amplitude of the downstream wave is varying. Further, the effects of various system parameters are analyzed and demonstrated in graphical forms.http://jafmonline.net/JournalArchive/download?file_ID=39804&issue_ID=228Inviscid fluid; Irrotational flow; Linear theory; Perturbation analysis; Fourier transform technique. |
| spellingShingle | Srikumar Panda A Study on Inviscid Flow with a Free Surface over an Undulating Bottom Journal of Applied Fluid Mechanics Inviscid fluid; Irrotational flow; Linear theory; Perturbation analysis; Fourier transform technique. |
| title | A Study on Inviscid Flow with a Free Surface over an Undulating Bottom |
| title_full | A Study on Inviscid Flow with a Free Surface over an Undulating Bottom |
| title_fullStr | A Study on Inviscid Flow with a Free Surface over an Undulating Bottom |
| title_full_unstemmed | A Study on Inviscid Flow with a Free Surface over an Undulating Bottom |
| title_short | A Study on Inviscid Flow with a Free Surface over an Undulating Bottom |
| title_sort | study on inviscid flow with a free surface over an undulating bottom |
| topic | Inviscid fluid; Irrotational flow; Linear theory; Perturbation analysis; Fourier transform technique. |
| url | http://jafmonline.net/JournalArchive/download?file_ID=39804&issue_ID=228 |
| work_keys_str_mv | AT srikumarpanda astudyoninviscidflowwithafreesurfaceoveranundulatingbottom AT srikumarpanda studyoninviscidflowwithafreesurfaceoveranundulatingbottom |