A number of recent independent surveys have indicated the presence of large-scale peculiar motions much larger and much faster than anticipated by the current cosmological paradigm. These are the so-called dark flows. We argue that observers living inside such fast dark flows can experience locally accelerated expansion within a globally decelerating universe. Moreover, to these observers, the universe should also appear to accelerate slightly faster in one direction and equally slower in the opposite. Interestingly, an increasing number of reports claim that such a weak dipolar anisotropy, which is sometimes referred to as the cosmological axis, may actually reside within the supernovae data.