Academic Journal
An extended Boussinesq theory for interfacial fluid mechanics
| Title: | An extended Boussinesq theory for interfacial fluid mechanics |
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| Authors: | Lawrence K. Forbes, Ross J. Turner, Stephen J. Walters |
| Source: | Journal of Engineering Mathematics. 133 |
| Publisher Information: | Springer Science and Business Media LLC, 2022. |
| Publication Year: | 2022 |
| Subject Terms: | Incompressible viscous fluids, smoothed-particle hydrodynamics method, Stratification effects in viscous fluids, 0103 physical sciences, Particle methods and lattice-gas methods, Liquid-liquid two component flows, Rayleigh-Taylor instability, Navier-Stokes equations, 01 natural sciences, Interfacial stability and instability in hydrodynamic stability, fluid interface |
| Description: | 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–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. |
| Document Type: | Article |
| File Description: | application/xml |
| Language: | English |
| ISSN: | 1573-2703 0022-0833 |
| DOI: | 10.1007/s10665-022-10215-w |
| Access URL: | https://zbmath.org/7507207 https://doi.org/10.1007/s10665-022-10215-w |
| Rights: | CC BY |
| Accession Number: | edsair.doi.dedup.....a6f5a0a9cf5b3e405943d11892bbff7c |
| Database: | OpenAIRE |
| ISSN: | 15732703 00220833 |
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| DOI: | 10.1007/s10665-022-10215-w |