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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 |
| Downloads: | 3 View Download Statistics |
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