Abstract
We simulate the sedimentation of single charged and single unchargedelliptic cylinders in a Newtonian fluid by using the lattice Boltzmannmethod. Due to the polarizing effects and non-axial symmetry shape,there are the Coulomb force and corresponding torque exerted on thecharged elliptic cylinder during the sedimentation, which significantlychange the horizontal translation and rotation of the cylinder. Whenthe dielectric constant of the liquid is smaller than that of the wall,the direction of the Coulomb force is opposite to that of thehydrodynamic force. Therefore there appears to be a critical linearcharge density qc at which the elliptic cylinder will fallvertically off the centreline.
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