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The effect of internal and external heating on the free convective flow of a Bingham fluid in a vertical porous channel

Citation

Rees, DAS and Bassom, AP, The effect of internal and external heating on the free convective flow of a Bingham fluid in a vertical porous channel, Fluids, 4, (2) Article 95. ISSN 2311-5521 (2019) [Refereed Article]


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Copyright Statement

Copyright 2019 The Authors. Licensed under Creative Commons Attribution 4.0 International (CC BY 4.0) https://creativecommons.org/licenses/by/4.0/

DOI: doi:10.3390/fluids4020095

Abstract

We study the steady free convective flow of a Bingham fluid in a porous channel where heat is supplied by both differential heating of the sidewalls and by means of a uniform internal heat generation. The detailed temperature profile is governing by an external and an internal Darcy-Rayleigh number. The presence of the Bingham fluid is characterised by means of a body force threshold as given by the Rees-Bingham number. The resulting flow field may then exhibit between two and four yield surfaces depending on the balance of magnitudes of the three nondimensional parameters. Some indication is given of how the locations of the yield surfaces evolve with the relative strength of the Darcy-Rayleigh numbers and the Rees-Bingham number. Finally, parameter space is delimited into those regions within which the different types of flow and stagnation patterns arise.

Item Details

Item Type:Refereed Article
Keywords:porous media, convection, Bingham fluid, yield stress, channel flow
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
UTAS Author:Bassom, AP (Professor Andrew Bassom)
ID Code:132906
Year Published:2019
Deposited By:Mathematics and Physics
Deposited On:2019-05-27
Last Modified:2019-06-07
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