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We performed sensitivity simulations with different wind shear across the inversion and analyzed the mean turbulence structures and instantaneous flow features. Our findings can be summarized as follows. A stronger wind shear produces a much thicker inversion with significantly more variability in the mixing interface due to the shear-generated distur-bances. Since the turbulence intensity within the inversion is significantly strengthened, the cloud-top entrainment is considerably enhanced, leading to a decrease of liquid water content and radiative cooling at the cloud top. Consequently, the cloud-top height is lower, which is in contrast to the conventional argument: stronger entrainment leading to a higher cloud top. It is suggested that much of the air undergoing mixing within the inversion re-mains there so that the mixing does not directly result in the entrainment of drier and warmer air into the cloudy and fully turbulent mixed layer. These results may have important implications on parameterizations of the cloud-top entrainment, since the cross-inversion wind shear is inevitable, given the presence of the turbulent and non-turbulent flows.