4566 9 archive 337 disk0/00/00/45/66 2008-04-07 14:45:47 2008-10-01 00:58:55 2008-07-16 17:09:20 article show Larry.Forbes@utas.edu.au Forbes LK Larry.Forbes@utas.edu.au Hocking GC pub 240502 970102 780102 restricted category => A1 categoryDesc => Refereed Article in a Scholarly Journal eprintID => 0 field1 => Physics of Fluids field10 => field11 => field12 => field13 => field2 => "Melville, USA, NY" field3 => 19 field4 => field5 => 082104-1-082104-14 field6 => "American Institute of Physics, Circulation and Fulfillment Division" field7 => 1070-6631 field8 => field9 => funding => Q grant => F0013417 lastUpdate => 21/08/2007 rfcd => 240502 seo => 780102 themeArea => FT title => Unsteady draining flows from a rectangular tank tor => PB uid => 46407 update => no Two-dimensional, unsteady flow of a two-layer fluid in a tank is considered. Each fluid is inviscid and flows irrotationally. The lower, denser fluid flows with constant speed out through a drain hole of finite width in the bottom of the tank. The upper, lighter fluid is recharged at the top of the tank, with an input volume flux that matches the outward flux through the drain. As a result, the interface between the two fluids moves uniformly downwards, and is eventually withdrawn through the drain hole. However, waves are present at the interface, and they have a strong effect on the time at which the interface is first drawn into the drain. A linearized theory valid for small extraction rates is presented. Fully nonlinear, unsteady solutions are computed by means of a novel numerical technique based on Fourier series. For impulsive start of the drain, the nonlinear results are found to agree with the linearized theory initially, but the two theories differ markedly as the interface approaches the drain and nonlinear effects dominate. For wide drains, curvature singularities appear to form at the interface within finite time. 2007 published Physics of Fluids 19 082104 American Institute of Physics, Circulation and Fulfillment Division 10.1063/1.2759891 TRUE 1070-6631 http://dx.doi.org/10.1063/1.2759891 6837 3 4566 1 application/pdf en staffonly

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