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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, GC
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.

History

Publication title

Journal of Engineering Mathematics

Volume

106

Pagination

107-121

ISSN

0022-0833

Department/School

School of Natural Sciences

Publisher

Kluwer Academic Publ

Place of publication

Van Godewijckstraat 30, Dordrecht, Netherlands, 3311 Gz

Rights statement

Copyright 2017 Springer Science+Business Media Dordrecht

Repository Status

  • Restricted

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Expanding knowledge in the mathematical sciences

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