A simple numerical process is proposed for the perfect solution is of the two-dimensional power-law movement equations for a broad channel with a moving boundary. The email address details are used to create a complete model of the isothermal operation of a single-screw extruder regarding the compression ratio, the relative lengths of the compression and the metering sections, and the power-rules index of the materials. It is shown a number of the primary top features of screw extrusion happen to be predicted by the model. By way of examples plastic pellet extruder it is demonstrated that, in application, the isothermal condition could be relaxed, and satisfactory correlation between your theory and experiment can be obtained, through an average extrusion temperatures. The model provides a broad theoretical framework, by which the relative need for the geometric parameters and the power-rules index on the throughput-pressure characteristics of the screw extrusion could be examined, and the experimental results collated and extrapolated. Examples of the answer are presented in the form of contour plots to assist designers and users of single-screw pumping machines.