The paper presents the results of CFD simulations of liquid flow in an unbaffled stirred vessel with an eccentrically positioned impeller. The influence of the impeller’s distance from the tank axis (eccentricity) on the generated flow circulation was analyzed. Based on numerical modelling, the flow pattern, vortex formation as well as turbulence parameters in selected stirred vessel zones were determined. Obtained results were presented as vector/contour maps, and iso-surfaces of Q-criterion for identification of vortex cores. Additionally, for each investigated stirred vessel power consumption was calculated.