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Thermal performances of the trapezoidal microchannel heat sink (MCHS) with pure pressure driven flow (PDF), pure electro-osmotic flow (EOF) and combined flow have been investigated and compared, using the multiphysics software COMSOL. The feasibility and accuracy of the simulation scheme for the microchannel are carefully validated with available experimental and numerical results for both PDF and EOF. The effects of the electric potential and driving pressure on the performance of the MCHS have been studied under different conditions. The flow rate, thermal resistance, and Nusselt number are investigated to determine the characteristic behavior of the trapezoidal MCHS of various sidewall angles, height-width ratios, and hydraulic diameters.