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The initiation of a planar fluid plume beneath a rigid lid

Russell, PS ORCID: 0000-0001-5320-7222, Forbes, LK ORCID: 0000-0002-9135-3594 and Hocking, GC 2017 , 'The initiation of a planar fluid plume beneath a rigid lid' , Journal of Engineering Mathematics, vol. 106, no. 1 , pp. 107-121 , doi: 10.1007/s10665-016-9895-1.

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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 Type: Article
Authors/Creators:Russell, PS and Forbes, LK and Hocking, GC
Keywords: fluid plume, planar flow, Boussinesq theory, unsteady flow
Journal or Publication Title: Journal of Engineering Mathematics
Publisher: Kluwer Academic Publ
ISSN: 0022-0833
DOI / ID Number: 10.1007/s10665-016-9895-1
Copyright Information:

Copyright 2017 Springer Science+Business Media Dordrecht

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