An inviscid analysis of the Prandtl azimuthal mass transport during swirl-type sloshing
| Autor: | Odd M. Faltinsen, Alexander Timokha |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Slosh dynamics
Mechanical Engineering Flow (psychology) Boundary problem Prandtl number 02 engineering and technology Mechanics Forcing (mathematics) Condensed Matter Physics Rotation 01 natural sciences 010305 fluids & plasmas Physics::Fluid Dynamics Azimuth symbols.namesake 020303 mechanical engineering & transports 0203 mechanical engineering Mechanics of Materials Inviscid flow 0103 physical sciences symbols |
| Zdroj: | Journal of Fluid Mechanics |
| ISSN: | 1469-7645 0022-1120 |
| Popis: | An inviscid analytical theory of a slow steady liquid mass rotation during the swirl-type sloshing in a vertical circular cylindrical tank with a fairly deep depth is proposed by utilising the asymptotic steady-state wave solution by Faltinsen et al. (J. Fluid Mech., vol. 804, 2016, pp. 608–645). The tank performs a periodic horizontal motion with the forcing frequency close to the lowest natural sloshing frequency. The azimuthal mass transport (first observed in experiments by Prandtl (Z. Angew. Math. Mech., vol. 29(1/2), 1949, pp. 8–9)) is associated with the summarised effect of a vortical Eulerian-mean flow, which, as we show, is governed by the inviscid Craik–Leibovich equation, and an azimuthal non-Eulerian mean. Suggesting the mass-transport velocity tends to zero when approaching the vertical wall (supported by existing experiments) leads to a unique non-trivial solution of the Craik–Leibovich boundary problem and, thereby, gives an analytical expression for the summarised mass-transport velocity within the framework of the inviscid hydrodynamic model. The analytical solution is validated by comparing it with suitable experimental data. © 2019. This is the authors' accepted and refereed manuscript to the article. Locked until 27 August 2019 due to copyright restrictions. The final authenticated version is available online at: https://doi.org/10.1017/jfm.2019.94 |
| Databáze: | OpenAIRE |
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