Stepanyants, Yury A. and Yeoh, Guan H. (2008) Burgers-Rott vortices with surface tension. Zeitschrift fuer Angewandte Mathematik und Physik, 59 (6). pp. 1057-1068. ISSN 1420-9039
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Official URL: http://springerlink.metapress.com/content/u6878txj30482gnq/fulltext.pdf
Identification Number or DOI: doi: 10.1007/s00033-008-7071-9
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.
| Item Type: | Article (Commonwealth Reporting Category C) |
|---|---|
| Additional Information: | The original publication is available at www.springerlink.com |
| Uncontrolled Keywords: | whirlpool, bathtub vortex, free surface, surface tension, approximate analytical solutions |
| Fields of Research (FOR2008): | 02 Physical Sciences > 0203 Classical Physics > 020303 Fluid Physics |
| Subjects: | 240000 Physical Sciences > 240500 Classical Physics > 240502 Fluid Physics |
| Socio-Economic Objective (SEO2008): | E Expanding Knowledge > 97 Expanding Knowledge > 970102 Expanding Knowledge in the Physical Sciences |
| ID Code: | 5727 |
| Deposited By: | |
| Deposited On: | 11 Nov 2009 09:54 |
| Last Modified: | 15 Feb 2012 14:26 |
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