Characteristics of axisymmetric viscous incompressible flow passing a torus rotating about its centerline
The present numerically investigates the axisymmetric flow past a rotating torus in a viscous incompressible fluid. The surface of the torus rotates with constant velocity around its centerline. A numerical model has been developed for the governing equation in the toroidal coordinate system. The...
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| Format: | Article |
| Language: | English |
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Prince of Songkla University
2016-06-01
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| Series: | Songklanakarin Journal of Science and Technology (SJST) |
| Subjects: | |
| Online Access: | http://rdo.psu.ac.th/sjstweb/journal/38-3/38-3-13.pdf |
| _version_ | 1818983661462093824 |
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| author | Pairin Suwannasri |
| author_facet | Pairin Suwannasri |
| author_sort | Pairin Suwannasri |
| collection | DOAJ |
| description | The present numerically investigates the axisymmetric flow past a rotating torus in a viscous incompressible fluid.
The surface of the torus rotates with constant velocity around its centerline. A numerical model has been developed for the
governing equation in the toroidal coordinate system. The rotating boundary of a torus generates inertia in the surrounding
fluid. There are two interesting regimes. In one of them, a rotation of torus surface generates a toroidal fluid region which
envelopes the torus. In another one a rotation of torus surface generates the jet of fluid expelled from the hole downward.
We focus on the hydrodynamics of a torus effected by a rotational rate () and the aspect ratios (Ar). The numerical simulations
are performed for three aspect ratios, Ar = 2, 3 and 5, where Ar is defined as ratio of torus radius (b) to cross-section
radius of torus (a) and the range of rotational rate 4.0 2.0, where is defined as ratio of tangential tank-treading
motion of torus surface to the uniform far-field velocity. |
| first_indexed | 2024-12-20T18:06:39Z |
| format | Article |
| id | doaj.art-f4717d19be0c49498bf363e59272fa1e |
| institution | Directory Open Access Journal |
| issn | 0125-3395 |
| language | English |
| last_indexed | 2024-12-20T18:06:39Z |
| publishDate | 2016-06-01 |
| publisher | Prince of Songkla University |
| record_format | Article |
| series | Songklanakarin Journal of Science and Technology (SJST) |
| spelling | doaj.art-f4717d19be0c49498bf363e59272fa1e2022-12-21T19:30:34ZengPrince of Songkla UniversitySongklanakarin Journal of Science and Technology (SJST)0125-33952016-06-01383319324Characteristics of axisymmetric viscous incompressible flow passing a torus rotating about its centerlinePairin Suwannasri0Department of Mathematics, Statistics and Computer, Faculty of Science, Ubon Ratchathani University, Warin Chamrap, Ubon Ratchathani, 34190 Thailand.The present numerically investigates the axisymmetric flow past a rotating torus in a viscous incompressible fluid. The surface of the torus rotates with constant velocity around its centerline. A numerical model has been developed for the governing equation in the toroidal coordinate system. The rotating boundary of a torus generates inertia in the surrounding fluid. There are two interesting regimes. In one of them, a rotation of torus surface generates a toroidal fluid region which envelopes the torus. In another one a rotation of torus surface generates the jet of fluid expelled from the hole downward. We focus on the hydrodynamics of a torus effected by a rotational rate () and the aspect ratios (Ar). The numerical simulations are performed for three aspect ratios, Ar = 2, 3 and 5, where Ar is defined as ratio of torus radius (b) to cross-section radius of torus (a) and the range of rotational rate 4.0 2.0, where is defined as ratio of tangential tank-treading motion of torus surface to the uniform far-field velocity.http://rdo.psu.ac.th/sjstweb/journal/38-3/38-3-13.pdfaxisymmetric flowtoroidal coordinate systemrotating torus |
| spellingShingle | Pairin Suwannasri Characteristics of axisymmetric viscous incompressible flow passing a torus rotating about its centerline Songklanakarin Journal of Science and Technology (SJST) axisymmetric flow toroidal coordinate system rotating torus |
| title | Characteristics of axisymmetric viscous incompressible flow passing a torus rotating about its centerline |
| title_full | Characteristics of axisymmetric viscous incompressible flow passing a torus rotating about its centerline |
| title_fullStr | Characteristics of axisymmetric viscous incompressible flow passing a torus rotating about its centerline |
| title_full_unstemmed | Characteristics of axisymmetric viscous incompressible flow passing a torus rotating about its centerline |
| title_short | Characteristics of axisymmetric viscous incompressible flow passing a torus rotating about its centerline |
| title_sort | characteristics of axisymmetric viscous incompressible flow passing a torus rotating about its centerline |
| topic | axisymmetric flow toroidal coordinate system rotating torus |
| url | http://rdo.psu.ac.th/sjstweb/journal/38-3/38-3-13.pdf |
| work_keys_str_mv | AT pairinsuwannasri characteristicsofaxisymmetricviscousincompressibleflowpassingatorusrotatingaboutitscenterline |