Abstarct: Proper analysis on turbulent flow in the channel has been studied in this thesis. In order to reduce the amount of calculations, the problem is defined as two-dimensional form of a channel and the width of the channel is considered unlimited. The equations applied on calculating domain is considered as Navir-Stocks equations and the rotational form of these equations is solved directly. In this thesis, turbulent flow in a channel has been studied by the help of numerical simulation and apart from modeling or hypothesis in order to reach simplicity. In order to reach time advancement in calculating range, the third order of Runge-Kutta method has been used. The derivations in this thesis have been calculated using compact finite differences scheme; and regarding the order of Navir-Stocks equations in the rotational form, totally, four boundary conditions in inlet and outlet of the flow are considered. Due to directness of simulation and lack of simplicity of equations, the results of this thesis are of greater accuracy compared to other numerical methods.