Study of minimum length, supersonic nozzle design using the Method of Characteristics

This report outlines the pertinent theory and methods for supersonic nozzle design using the method of characteristics. The programmes developed design ideal nozzle contours, using numerical methods based on the gas properties, for desired exit velocities. Ideal contours include the most rapidexpansion without inducing shock waves followed by the straigh tening sec-tion to provide uniform exit conditions. Then based on the ideal results, thecontours can be truncated and the shape modified to induce minor shocksand only sacrifice minimal thrust to save length and thereby weight.