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An extended Boussinesq theory for interfacial fluid mechanics

Citation

Forbes, LK and Turner, RJ and Walters, SJ, An extended Boussinesq theory for interfacial fluid mechanics, Journal of Engineering Mathematics, 133 Article 10. ISSN 0022-0833 (2022) [Refereed Article]


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Copyright Statement

ゥ The Author(s) 2022 This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.

DOI: doi:10.1007/s10665-022-10215-w

Abstract

Boussinesq theory can model quite accurately viscous flows that involve multiple fluids with interfaces between them, so long as there is not much difference between the densities of the various fluids. However, the Boussinesq approximation is generally poor when the density ratio between the fluids is large. Here, we propose an Extended Boussinesq approximate equation, that allows for large density ratios, while still remaining straightforward to implement. Examples are given for planar Rayleigh傍aylor instability, where the Boussinesq and the novel Extended Boussinesq models are compared with the predictions of an SPH fluid dynamics code, to confirm this approach.

Item Details

Item Type:Refereed Article
Keywords:Boussinesq model, extended Boussinesq model, fluid interface, Rayleigh傍aylor instability
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 physical sciences
UTAS Author:Forbes, LK (Professor Larry Forbes)
UTAS Author:Turner, RJ (Dr Ross Turner)
UTAS Author:Walters, SJ (Mr Stephen Walters)
ID Code:149325
Year Published:2022
Deposited By:Physics
Deposited On:2022-03-24
Last Modified:2022-05-20
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