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The initiation of a planar fluid plume beneath a rigid lid
Citation
Russell, PS and Forbes, LK and Hocking, GC, The initiation of a planar fluid plume beneath a rigid lid, Journal of Engineering Mathematics, 106, (1) pp. 107-121. ISSN 0022-0833 (2017) [Refereed Article]
Copyright Statement
Copyright 2017 Springer Science+Business Media Dordrecht
DOI: doi:10.1007/s10665-016-9895-1
Abstract
The unsteady growth of a viscous fluid plume beneath a rigid upper lid is investigated. Two-dimensional (planar) flow is assumed, through a fissure in the horizontal lower boundary. Initially, the fluid exiting the bottom is assumed to form a semi-circular region, but rises as time progresses, and spreads across the upper boundary. The problem is modelled using Boussinesq theory, and solved using a time-dependent spectral method. These numerical solutions are also compared with the results of a simpler inviscid asymptotic solution. Results are indicated for different input fluid speeds and fissure widths.
Item Details
| Item Type: | Refereed Article |
|---|---|
| Keywords: | fluid plume, planar flow, Boussinesq theory, unsteady flow |
| 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: | Russell, PS (Mr Patrick Russell) |
| UTAS Author: | Forbes, LK (Professor Larry Forbes) |
| ID Code: | 122659 |
| Year Published: | 2017 |
| Web of Science® Times Cited: | 6 |
| Deposited By: | Mathematics and Physics |
| Deposited On: | 2017-11-21 |
| Last Modified: | 2018-05-17 |
| Downloads: | 0 |
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