Drag and torque coefficients of a translating particle with slip at a gas-liquid interface

Zhi Zhou; Petia M. Vlahovska; Michael J. Miksis

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arXiv · 2410.09956

Drag and torque coefficients of a translating particle with slip at a gas-liquid interface

Zhi Zhou·Petia M. Vlahovska·Michael J. Miksis

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Abstract

The dynamics of colloid-size particles trapped at a liquid interface is an extensively studied problem owing to its relevance to a wide range of engineering applications. Here we investigate the impact of interfacial deformations on the hydrodynamic force and torque exerted on a spherical particle with surface slip moving along a gas-liquid interface. Following a two-parameter asymptotic modeling approach, we perturb the interface from its planar state and apply the Lorentz reciprocal theorem to the zeroth and first-order approximations to analytically calculate the drag and torque on the particle. This allows us to explicitly account for the effect of physical parameters like the three-phase contact angle, the Bond number, and the slip coefficient on the particle motion. In addition, we study the interactions between two translating and rotating particles at a large separation. The interaction forces and torques exerted by the flow-induced deformations are calculated via the linear superposition approximation, where the interaction forces are identified as dipolar in terms of the azimuthal angle.

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Zhi Zhou, Petia M. Vlahovska, Michael J. Miksis. 2024-10-13. Drag and torque coefficients of a translating particle with slip at a gas-liquid interface. https://arxiv.org/abs/2410.09956

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