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Dependence of the Brazil-nut prediction on viscous-suspension and thin-film assumptions

Ascertain how dependent the prediction that larger particles increase in concentration toward the free surface (Brazil-nut effect) is on assuming a viscous suspension with thin-film lubrication and rapid normal-direction equilibration; quantify how relaxing these modeling assumptions affects the predicted segregation.

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Background

The model assumes particles are suspended in a viscous fluid and uses thin-film approximations with rapid equilibration in the normal direction to derive equilibrium profiles.

While the model yields the Brazil-nut effect, the authors explicitly state uncertainty about how strongly this conclusion relies on these assumptions.

References

However, our model assumes the particles are suspended in a viscous fluid and many simplifying assumptions were made with this assumption. It is unclear how dependent our Brazil-nut conclusion is on such assumptions.

The 'Brazil-nut effect' in bidisperse particle laden flow on an incline (2505.24114 - Luong et al., 30 May 2025) in Section 3.1, Equilibrium Model