154910 - Selective withdrwal.pdf (1.07 MB)
Download fileSelective withdrawal of a three-layer viscous fluid
journal contribution
posted on 2023-05-21, 15:45 authored by Lachlan WestLachlan West, Jason CosgroveJason Cosgrove, Andrew BassomAndrew BassomTwo 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contours are presented and used to determine the time at which the middle transition layer of fluid begins to be withdrawn from the tank; at this point the rate of extraction of the most dense fluid is its greatest.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.
History
Publication title
Journal of Engineering MathematicsVolume
133Pagination
1-20ISSN
1573-2703Department/School
School of Natural SciencesPublisher
Springer NetherlandsPlace of publication
NetherlandsRights statement
© The Author(s) 2022. This article is licensed under a Creative Commons Attribution 4.0 International (CC by 4.0) License, http://creativecommons.org/licenses/by/4.0/ which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.Repository Status
- Open