Abstract
This topic examines a periodically forced neutrally buoyant spherical particle in an electrically driven dilute solution with the velocity at very long distances (infinity) at low Reynolds numbers. This is a novel problem since it considers the periodic force as well as the electric force operating on the spherical particle/s. When particleladen suspensions are exposed to electric stress, electrophoresis and electrostriction occur. Consequently, these studies might be used to blood flow to perform electrophoresis on red blood cells and study their activity. We have used the formalism of Lovalenti and Brady [14] to obtain the necessary equations for our considered problem. All the results with U-infinity = 0 and U-infinity equals specific values are plotted in the form of phase plots between displacements of the particle versus the velocity of the particle. It is observed that the resistance to the change in motion of the particle is manifested in the phase plots and the periodic force is dominant over the considered DC electric field for the Reynolds numbers considered. The DC force translates the particles with different amplitudes of the periodic force. We also computed the only rheological parameter the normal stress difference using Batchelor's technique with respect to volume fraction and amplitude of periodic force with respect to time. The presence of normal stress indicates the non - Newtonian behaviour in this type of phenomena.