The onset flow developing between a rotating inner cylinder and a stationary outer cylinder is investigated by the numerical approach. The both ends of the cylinders are stationary. Reynolds number that controls flow is decided from circumferential velocity of the inner cylinder and width between two cylinders. In the initial state, the flow remains stationary in the whole area, and it is assumed that the inner cylinder accelerates rapidly until a constant Reynolds number is attained. The Ginzburg-Landau equation and the solution are proposed to one of the models when the flow develops. This is a model of flow development of the time dependent disturbance when a spatially infinity is assumed. In this study, this model is adopted and the quantitative evaluation that how proper the model is for the flow between two rotating cylinders with finite lengths.
