Burgers-Rott vortices with surface tension

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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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.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: The original publication is available at www.springerlink.com
Depositing User: Assoc Prof Yury Stepanyants
Faculty / Department / School: Historic - Faculty of Sciences - Department of Maths and Computing
Date Deposited: 10 Nov 2009 23:54
Last Modified: 29 Aug 2014 04:57
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
Socio-Economic Objective (SEO2008): E Expanding Knowledge > 97 Expanding Knowledge > 970102 Expanding Knowledge in the Physical Sciences
Identification Number or DOI: doi: 10.1007/s00033-008-7071-9
URI: http://eprints.usq.edu.au/id/eprint/5727

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