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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

Citation

Rees, DAS and Bassom, AP, Unsteady thermal boundary layer flows of a Bingham fluid in a porous medium following a sudden change in surface heat flux, International Journal of Heat and Mass Transfer, 93 pp. 1100-1106. ISSN 0017-9310 (2016) [Refereed Article]

DOI: doi:10.1016/j.ijheatmasstransfer.2015.10.021

Abstract

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.

Item Details

Item Type:Refereed Article
Keywords:porous media, boundary layer, unsteady flow, convection, Bingham fluid, yield stress
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:Bassom, AP (Professor Andrew Bassom)
ID Code:105659
Year Published:2016
Deposited By:Mathematics and Physics
Deposited On:2016-01-12
Last Modified:2017-11-01
Downloads:0

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