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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

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Rees, DAS and Bassom, AP ORCID: 0000-0003-3275-7801 2019 , 'The effect of internal and external heating on the free convective flow of a Bingham fluid in a vertical porous channel' , Fluids, vol. 4, no. 2 , pp. 1-15 , doi: 10.3390/fluids4020095.

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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 Type: Article
Authors/Creators:Rees, DAS and Bassom, AP
Keywords: porous media, convection, Bingham fluid, yield stress, channel flow
Journal or Publication Title: Fluids
Publisher: MDPIAG
ISSN: 2311-5521
DOI / ID Number: 10.3390/fluids4020095
Copyright Information:

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

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