Abstarct: Unsteady turbulent accelerating flow has been investigated in a channel for Reynolds numbers from 2760 to 15200 (baxsed on bulk velocity and half channel height). Numerical simulation has been performed using the turbulence model of four equations k ε (V2F) in a channel with a length of 1.2 m. The initial bulk velocity of 0.108 m / s during the acceleration time of 2 seconds in the ramp up reaches the final bulk velocity of 0.597 m/s.The results of this model are compared with experimental and numerical results of Mathur et al. The aim of this study was to investigate the properties of fluid including shear stress, wall friction, r.m.s fluctuating velocity and mean velocity under turbulent acceleration flow in 0 to 5 seconds. The average error rate is reported for fluid properties. At the start of the flow, similar to the linear acceleration, a thin boundary laxyer immediately forms near the walls. Over time, velocity profiles develop at the center of the flow, forming a spot of turbulence at the end of the transition.