149325 - An extended Boussinesq theory for interfacial fluid mechanics.pdf (2.95 MB)
An extended Boussinesq theory for interfacial fluid mechanics
journal contribution
posted on 2023-05-21, 06:32 authored by Lawrence ForbesLawrence Forbes, Ross TurnerRoss Turner, Stephen WaltersStephen WaltersBoussinesq 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–Taylor 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.
History
Publication title
Journal of Engineering MathematicsVolume
133Article number
10Number
10Pagination
1-20ISSN
0022-0833Department/School
School of Natural SciencesPublisher
Kluwer Academic PublPlace of publication
Van Godewijckstraat 30, Dordrecht, Netherlands, 3311 GzRights statement
© 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.Repository Status
- Open