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flow boundary conditions: periodic velocity fall and normal velocity zero

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Hello,

I am attempting to simulate a 2D flow of a suspension of solid disks on a square lattice. To reduce the computational expense of this simulation, I'd like to consider shear on a single disk at rest. See the attached diagram that depicts the computational domain. To find the effective viscosity of the suspension, boundary conditions must be as follows:

1. Periodic velocity field at east and west faces of primary cell.
2. Equal and opposite x-direction velocity component, u, on north and south faces of the primary cell. Note that this velocity component also depends on the coordinate y.
3. Identically zero y-direction velocity component, v, on north and south faces of the primary cell.

Boundary condition #1 I am able to implement, but I cannot find any way to implement condition #2 in conjunction with #3 for the north and south faces. Would greatly appreciate your advice on how to implement this in a simple way in the COMSOL single-phase flow module.

Kind regards,
Kyle

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