Burgers-Rott vortices with surface tension
Article
Article Title | Burgers-Rott vortices with surface tension |
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ERA Journal ID | 422 |
Article Category | Article |
Authors | Stepanyants, Yury A. (Author) and Yeoh, Guan H. (Author) |
Journal Title | Zeitschrift fuer Angewandte Mathematik und Physik |
Journal Citation | 59 (6), pp. 1057-1068 |
Number of Pages | 12 |
Year | 2008 |
Place of Publication | Basel |
ISSN | 0044-2275 |
1420-9039 | |
Digital Object Identifier (DOI) | https://doi.org/10.1007/s00033-008-7071-9 |
Web Address (URL) | http://springerlink.metapress.com/content/u6878txj30482gnq/fulltext.pdf |
Abstract | A modified Lundgren’s model (the LABSRL model) accounting for the effect of surface tension is applied for the description of stationary bathtub vortices in a viscous liquid with a free surface. Laminar liquid flow through the circular bottom orifice is considered in a horizontally unbounded domain with the liquid being assumed to be undisturbed at infinity and approaching to a constant depth. An approximate analytical solution of the LABSRL model is obtained for small-dent vortices. Good agreement is achieved between the constructed analytical and numerical solutions for the same set of parameters. |
Keywords | whirlpool, bathtub vortex, free surface, surface tension, approximate analytical solutions |
ANZSRC Field of Research 2020 | 401207. Fundamental and theoretical fluid dynamics |
Public Notes | The original publication is available at www.springerlink.com |
Byline Affiliations | Australian Nuclear Science and Technology Organisation |
https://research.usq.edu.au/item/9z313/burgers-rott-vortices-with-surface-tension
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