The simulation was performed according to Fig. E.5 using the electrostatics and creeping flow modules. A fixed velocity u= (0,v0)⊺ was prescribed on the fluid inlet (Inlet boundary condition) with v0 =Q/W/h with h =120 µm andW according to Sec. E.1. A constant pressure of p=0 bar was prescribed for the fluid outlet (Outlet boundary condition). No-slip boundary conditions (u=0) were prescribed on all walls (Wall boundary condition). Constant potentials were prescribed on the two electrodes (Φ=U0/2on the left electrode andΦ=−U0/2 on the right electrode). Zero charge boundary conditions (gradient in normal direction is zero,
∂Φ/∂nˆ =0) are applied on all other walls. 250 particles are initialized on random positions on a straight line between the electrode and the dust blockers att =0. The separation efficiency is obtained by comparing the amount of particles entering the channel with the amount of particles exiting the channel after. For the mesh generation, the maximum element size in the post array was set to the 1.2 µm. The relative tolerance of the time-dependent GMRES solver was set to 1.1×10−5. The simulation duration was chosen according to the time that the particles need to pass the post array. 200 time steps have been calculated (albeit the GMRES solver adapts the time step according to the tolerance, the output times define the first time step taken by the solver before adapting).
2V1.5, https://de.mathworks.com/matlabcentral/fileexchange/34040-simple-tracker
W
Inlet Electrode Electrode Outlet
particle inlet line (250 particles)
Fig. E.5: Outline of the simulated geometry including the boundary conditions
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