Lift force models for a spherical particle immersed in linear and quadratic shear flows

Lift force models for a spherical particle immersed in linear and quadratic shear flows

10.12.2025

Lift force models for a spherical particle immersed in linear and quadratic shear flows

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Tongkuai Wang

Zhejiang University, Hangzhou, China


Lift force models for a spherical particle immersed in linear and quadratic shear flows


The lift on a spherical particle in unbounded linear shear flow, single-wall-bounded linear shear flow and Poiseuille flow are obtained by direct numerical simulations (DNS). Based on our DNS data, we first extend the existing unbounded and single-wall bounded linear shear-induced lift models to higher non-dimensional shear rates (|Sr| = 2.5) for particle Reynolds numbers (Re) ranging from 0.1 to 20. The lift models are then modified to account for the curvature effect of the parabolic velocity profile, which reduce to the linear shear-induced lift models in the high Re and low curvature of the velocity profile (Sr) limits. In addition, we modify the rotation-induced lift model of linear shear flow to account for the quadratic shear effect, which causes the lift enhancement for the leading particle and the lift attenuation for the lagging particle in the Poiseuille flow, compared to the linear shear case. This lift attenuation may give rise to an inverse Magnus force at low particle Reynolds numbers.
Figure shows the comparison of the proposed rotation0induced lift model with the numerical results with rotation rate Rr (¬0.1 ~0.2) for dimensionless height H = 4~25, Sg ¬ curvature of the velocity profile.

Докладчики

  • Tongkuai Wang

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