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Selective withdrawal of a three-layer viscous fluid

Citation

West, L and Cosgrove, JM and Bassom, AP, Selective withdrawal of a three-layer viscous fluid, Journal of Engineering Mathematics, 133, (2) pp. 1-20. ISSN 1573-2703 (2022) [Refereed Article]


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DOI: doi:10.1007/s10665-022-10209-8

Abstract

Two dimensional, selective withdrawal of a three-layer fluid in a rectangular tank is considered. Each fluid is viscous, weakly compressible and miscible. The lowermost, heaviest fluid flows with constant speed out through line sinks located on the base and lower side walls of the tank. The uppermost and lightest fluid recharges the tank via line sources located along the top and on the upper side walls at a rate that matches the outward flux. If the line sinks are turned on suddenly, the interfaces between the fluids are drawn downward at different rates; this disparity arises due to the fact that the wave configurations that propagate along the two interfaces are not the same. Density and vorticity contours are presented and used to determine the time at which the middle transition layer of fluid begins to be withdrawn from the tank; at this point the rate of extraction of the most dense fluid is its greatest. Inviscid linearised interfaces are calculated which serve as checks on the early stage evolution of the full nonlinear model.

Item Details

Item Type:Refereed Article
Keywords:Selective withdrawal Spectral methods Three-layered fluids Viscous fluids
Research Division:Mathematical Sciences
Research Group:Applied mathematics
Research Field:Theoretical and applied mechanics
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the mathematical sciences
UTAS Author:West, L (Mr Lachlan West)
UTAS Author:Cosgrove, JM (Dr Jason Cosgrove)
UTAS Author:Bassom, AP (Professor Andrew Bassom)
ID Code:154910
Year Published:2022
Deposited By:Mathematics
Deposited On:2023-01-18
Last Modified:2023-01-19
Downloads:0

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