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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]


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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
Author:Russell, PS (Mr Patrick Russell)
Author:Forbes, LK (Professor Larry Forbes)
ID Code:122659
Year Published:2017
Deposited By:Mathematics and Physics
Deposited On:2017-11-21
Last Modified:2017-11-22
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