Taylor Couette flow in bioreactor at different Re values is researched numerically by means of establishing a simplified model. Numerical results indicate that vortex appears earlier in the vicinity of bottom wall than in the vicinity of top free surface. As Re number increases, vortexes generate from both ends towards middle area of flow field and will fill the whole space when critical Re value is reached. Although all vortexes look the same in structure, intensities of them are widely divergent. The strength of vortex at bottom wall is more intensive than that at top free surface, while the vortex at middle position is the weakest.