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Mathematical Model of Microfluidic Devices Employing Dielectrophoresis for 3D-Focusing

The mathematical model of a dielectrophoresis based microfluidic device for 3D-focusing of micro-scale entities is presented in the article. The electrode configuration consists of multiple finite sized planar electrodes located on both sides of the top and bottom surfaces of the microchannel. The model accounts for forces associated with inertia, buoyancy, gravity, and dielectrophoresis. According to the model, the proposed electrode configuration can achieve 3D-focusing. In addition, the model demonstrates that the radius of micro-scale entity, volumetric flow rate, and initial locations do not have any influence on the focusing. However, focusing is influenced by the applied electric voltage. The fact that the micro-scale entity size and initial locations as well as volumetric flowrate do not influence focusing is a merit of the proposed microfluidic device.