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The initiation of a planar fluid plume beneath a rigid lid
journal contribution
posted on 2023-05-19, 13:46 authored by Patrick RussellPatrick Russell, Lawrence ForbesLawrence Forbes, Hocking, GCThe 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.
History
Publication title
Journal of Engineering MathematicsVolume
106Pagination
107-121ISSN
0022-0833Department/School
School of Natural SciencesPublisher
Kluwer Academic PublPlace of publication
Van Godewijckstraat 30, Dordrecht, Netherlands, 3311 GzRights statement
Copyright 2017 Springer Science+Business Media DordrechtRepository Status
- Restricted