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Selective withdrawal of a two-layer viscous fluid

Citation

Cosgrove, JM and Forbes, LK, Selective withdrawal of a two-layer viscous fluid, The ANZIAM Journal: (Australian and New Zealand Industrial and Applied Mathematics), 53, (4) pp. 253 -277. ISSN 1446-1811 (2012) [Refereed Article]

Copyright Statement

Copyright 2013 Australian Mathematical Society

DOI: doi:10.1017/S1446181112000259

Abstract

Selective withdrawal of a two-layer fluid is considered. The fluid layers are weakly compressible, miscible and viscous and therefore flow rotationally. The lower, denser fluid flows with constant velocity out through one or more drain holes in the bottom of a rectangular tank. The drain is opened impulsively and the subsequent draw-down produces waves in the interface which travel outward to the edges of the tank and are reflected back with a 180° change of phase. The points on the interface that have the highest absolute gradient form regions of high vorticity in the tank, enabling mixing of the fluids. An inviscid linearized interface is computed and compared to contour plots of density for the viscous solution. The two agree closely at early times in the withdrawal process, but as time increases, nonlinear and viscous effects take over. The time at which the lighter fluid starts to flow out of the tank is dependent on the number of drains, their width, and the fluid flow rate and density, and is investigated here.

Item Details

Item Type:Refereed Article
Keywords:selective withdrawal, multiple drains, viscous fluids, spectral methods, nonlinear effects, two-layered fluids.
Research Division:Engineering
Research Group:Interdisciplinary Engineering
Research Field:Computational Fluid Dynamics
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
Author:Cosgrove, JM (Mr Jason Cosgrove)
Author:Forbes, LK (Professor Larry Forbes)
ID Code:82668
Year Published:2012
Deposited By:Mathematics and Physics
Deposited On:2013-02-12
Last Modified:2015-06-23
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