Laminar flows between the bottom surface of a moving rectangular body and the plane wall are investigated experimentally using a towing wind tunnel facility where the model is carried in still air by a linear-motor actuator. The Reynolds number based on the moving speed and the distance between the bottom of the moving body and the fixed plane wall is about 170. In the transient stage of the flow development including the acceleration stage immediately after the body starts to move, the flow is driven not only by viscous shearing stress but also pressure gradient so that the maximum flow velocity exceeds the speed of the moving body. After the flow becomes steady, the normal-to-wall velocity distribution tends to the linear profile of the Couette flow except near the leading edge of the moving body where the flow is still affected by pressure gradient. In addition, the same rectangular-body is carried between two side-walls set normal to the plane wall. For such a nearly two-dimensional configuration, the flow develops to a Couette-Poiseuille flow.