An Introduction to the Method of Characteristics

The Method of Characteristics for two‐dimensional supersonic flow is developed from an elementary physical approach. Since the report is intended for use by those on supersonic research who have not advanced mathematical knowledge, the initial parts of the theory are given in greater detail than in many other treatments. In addition numerical examples are given to illustrate points more clearly. The relationship of the method to the Prandtl‐Meyer expansion of a supersonic stream round a convex corner is stressed and the theory of the expansion is developed from first priciples in the Appendix. The application of the method of characterisics to the design of supersonic nozzles is not fully discussed, but the constructional drawing of a typical nozzle is given, together with a photograph of characteristics obtained experimentally.