Abstract
The interactions between two rigid conducting spheres in a Newtonian dielectric liquid in combined shear and electric fields are analyzed. The influence of the radius ratio on the relative trajectories of the two spheres is then given for spheres immersed in a quiescent fluid or undergoing a pure shear flow. The behavior of a rigid asymmetric dumbbell can be derived from the general results; the motion of the center of free rotation is illustrated by a few examples when the two spheres are or are not electrically connected.
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