Stationary bathtub vortices and a critical regime of liquid discharge

Stepanyants, Yury and Yeoh, Guan (2008) Stationary bathtub vortices and a critical regime of liquid discharge. Journal of Fluid Mechanics, 604 (1). pp. 77-98. ISSN 1469-7645

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A modified Lundgren model 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 the horizontally unbounded domain. The liquid is assumed to be undisturbed at infinity and its depth is taken to be constant.
Three different drainage regimes are studied: (i) subcritical, where whirlpool dents are less than the fluid depth; (ii) critical, where the whirlpool tips touch the outlet orifice; and (iii) supercritical, where surface vortices entrain air into the intake pipe.
Particular attention is paid to critical vortices; the condition for their existence is determined and analysed. The influence of surface tension on subcritical whirlpools
is investigated. Comparison of results with known experimental data is discussed.

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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Published version deposited in accordance with the copyright policy of the publisher (Cambridge Univ Press)
Faculty / Department / School: Historic - Faculty of Sciences - Department of Maths and Computing
Date Deposited: 10 Nov 2009 12:39
Last Modified: 29 Oct 2014 05:07
Uncontrolled Keywords: fluid flow, bathtub vortices, whirlpools
Fields of Research : 02 Physical Sciences > 0203 Classical Physics > 020303 Fluid Physics
Socio-Economic Objective: E Expanding Knowledge > 97 Expanding Knowledge > 970102 Expanding Knowledge in the Physical Sciences
Identification Number or DOI: 10.1017/S0022112008001080

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