eCite Digital Repository
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]
![]() | PDF (Fully published version) Pending copyright assessment - Request a copy 1Mb |
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contours are presented and used to determine the time at which the middle transition layer of fluid begins to be withdrawn from the tank; at this point the rate of extraction of the most dense fluid is its greatest.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 |
Repository Staff Only: item control page