The method of characteristics was developed for supersonic flow solutions in channels beginning in the 1930's and continuing at a vigorous pace at least into the 1980's. Nevertheless, the open literature does not contain an unabridged derivation of this fundamental nozzle design tool and there are no open sources which describe robust implementation strategies. This paper fills both of these gaps in the literature and provides the technical details required for the accurate use of, for example continuity, in nozzle design exercises over a wide range of expansion ratios.
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