Peristaltic flow induced by a sinusoidal wave in a moving wall of a two-dimensional viscous fluid for moderately large Reynolds numb er is investigated. The boundary layer theory has been considered to b e where its thickness is larger than the amplitude of the wavy wall. Solutions are obtained in terms of a series expansion with respect to a small amplitude ratio using a regular perturbation method. Velocity components, for both outer and inner flows for various values of the Reynolds numb er and wall velocity are represented graphically. The inner and outer velocity solutions are matched by a matching process. Certain interesting results regarding the axial and the transverse velocity components are discussed. This problem is regarded as an interesting application to mechanical engineering, where the possibility of fluid transportation without an external pressure is shown.