Based on the plasma body force model proposed by Orlov and Corke, this electic force was coupled into the flow governing equations as a source term. First, theoretical analyses were carried out for the two-dimensional boundary layer equation in order to reveal the mechanism of the plasma acting on the flow. Then validation of the above theoretical and analytical works was accomplished through boundary layer flow on a flat plate. The results show that the electric force increases the pressure within the boundary layer, with a maximum pressure close to the dielectric wall covering the buried electrode. The plasma also results in a significant variation of the flow velocity within the boundary layer, as well as induces a velocity component perpendicular to the wall and a favorable pressure gradient in the streamwise direction. This leads to an increased ability of the boundary layer to resist the adverse pressure gradient, which is beneficial to the alleviation of the flow separation. With the rise of the incoming flow velocity, the plasma effect decreases. So in order to obtain an effective flow control using plasma, the intensity of the electric field must be strengthened.