Influence of interface pollution on the linear stability of a rotating flow

Faugaret, Antoine; Duguet, Yohann; Fraigneau, Yann; Witkowski, Laurent Martin

doi:10.1017/jfm.2020.473

Cited by 2 publications

(12 citation statements)

References 37 publications

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“…This new study departs from the former numerical investigation of Faugaret (2020) and Faugaret et al. (2020) by the use of fully nonlinear simulations as well as the different physics associated with another value of .…”

Section: Introductioncontrasting

confidence: 56%

“…The modal mismatch, as in Faugaret et al. (2020), is attributed to the small but unavoidable presence of pollutants on the free surface. Although small and poorly measurable in practice, these pollutants turn out to have a strong influence on the stability of the flow.…”

Section: Discussionmentioning

confidence: 64%

“…The reasons why the usual free-slip boundary condition does not apply to the current set-up have been discussed by Lopez & Chen (1998), Faugaret et al. (2020) and Faugaret (2020). It is important to recall that the free-slip condition itself comes from an approximation of the force balance between the liquid and the gas at the interface.…”

Section: Are Free-slip Boundary Conditions Appropriate?mentioning

confidence: 99%

“…New boundary conditions were suggested in the last part of the paper by Faugaret et al. (2020) and used only in the context of linear stability analysis. This model assumes a decomposition of the velocity field into an axisymmetric part with and a residual perturbation .…”

Section: Are Free-slip Boundary Conditions Appropriate?mentioning

confidence: 99%

“…We do not use this denomination to emphasize that the condition holds here on the radial component only. At the very end of the paper by Faugaret et al (2020), a 'mixed model', intermediate between the stress-free and the Spohn-Daube model, was suggested. It was analysed using linear stability theory only.…”

Section: Introductionmentioning

confidence: 99%

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A simple model for arbitrary pollution effects on rotating free-surface flows

et al. 2022

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In an experimental context, the contamination of an air–liquid interface by ambient pollutants can strongly affect the dynamics and the stability of a given flow. In some configurations, the interfacial flow can even be blocked by surface tension effects. A cylindrical free-surface flow driven by a slow rotating disc is considered here as a generic example of such effects and is investigated both experimentally and numerically. We suggest here a simple numerical model, without any superficial transport of the pollutants, adaptable into any code for single-phase flows. For the stationary axisymmetric base flow, the radial velocity at the interface is set to zero whereas the usual stress-free boundary conditions are retained for the perturbations. The model does not feature any free parameter. For a geometrical aspect ratio of 1/4, known to display ambiguous behaviour regarding stability thresholds, the modal selection as well as a nonlinear stability island found in the experiments are well reproduced by the model, both qualitatively and quantitatively. The robustness of the model has also been validated by replacing the radial velocity profile by a more accurate experimental fit, with very little influence on the stability results.

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Section: Introductioncontrasting

confidence: 56%

Section: Discussionmentioning

confidence: 64%