# Integral representation of channel flow with interacting particles.

@article{Fouxon2017IntegralRO, title={Integral representation of channel flow with interacting particles.}, author={Itzhak Fouxon and Zhouyang Ge and Luca Brandt and Alexander M. Leshansky}, journal={Physical review. E}, year={2017}, volume={96 6-1}, pages={ 063110 } }

We construct a boundary integral representation for the low-Reynolds-number flow in a channel in the presence of freely suspended particles (or droplets) of arbitrary size and shape. We demonstrate that lubrication theory holds away from the particles at horizontal distances exceeding the channel height and derive a multipole expansion of the flow which is dipolar to the leading approximation. We show that the dipole moment of an arbitrary particle is a weighted integral of the stress and the…

## 4 Citations

### The effect of a wall on the interaction of two spheres in shear flow: Batchelor-Green theory revisited

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- 2019

The seminal Batchelor-Green's (BG) theory on the hydrodynamic interaction of two spherical particles of radii a suspended in a viscous shear flow neglects the effect of the boundaries. In the present…

### Theory of hydrodynamic interaction of two spheres in wall-bounded shear flow

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It is shown theoretically that the presence of a wall induces qualitative and quantitative changes in the hydrodynamic interaction between two particles in a shear flow. The phase portrait of…

### Flow-assisted droplet assembly in a 3D microfluidic channel.

- PhysicsSoft matter
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Detailed numerical simulations of few non-Brownian droplets in various flow conditions show that the droplet dynamics is mostly affected by the shear-induced cross-stream migration, which favors chain structures if the droplets are under an attractive depletion force.

### Fundamental solution of unsteady Stokes equations and force on an oscillating sphere near a wall

- PhysicsPhysical Review E
- 2018

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Keywords: dynamique des : fluides Reference Record created on 2005-11-18, modified on 2016-08-08