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Unsteady thermal boundary layer flows of a Bingham fluid in a porous medium following a sudden change in surface heat flux

journal contribution
posted on 2023-05-18, 15:42 authored by Rees, DAS, Andrew BassomAndrew Bassom
We consider the effect of suddenly applying a uniform heat flux to a vertical wall bounding a porous medium which is saturated by a Bingham fluid. We consider both an infinite porous domain and a vertical channel of finite width. Initially, the evolving temperature field provides too little buoyancy force to overcome the yield threshold of the fluid. For the infinite domain convection will always eventually arise, but this does not necessarily happen in the vertical channel. We show (i) how the presence of yield surfaces alters the classical results for Newtonian flows and (ii) the manner in which the locations of the yield surfaces change as time progresses.

History

Publication title

International Journal of Heat and Mass Transfer

Volume

93

Pagination

1100-1106

ISSN

0017-9310

Department/School

School of Natural Sciences

Publisher

Pergamon-Elsevier Science Ltd

Place of publication

The Boulevard, Langford Lane, Kidlington, Oxford, England, Ox5 1Gb

Repository Status

  • Restricted

Socio-economic Objectives

Expanding knowledge in the mathematical sciences

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