Abstract
The objective of this study was to obtain a solution to the flowfield in the transonic region of a convergentdivergent nozzle in which radial variations in total temperature and composition exist. This was done by transforming the conservation equations in cylindrical coordinates to a system in which the axial coordinate is nondimensionalized by a characteristic length and the radial coordinate is the nondimensionalized stream function. An order-of-magn itude analysis was used to determine the characteristic length. First and second-order solutions of the equations were obtained with the total velocity, flow angle, and the radial distance expressed as series expansions of the one-dimensional throat radius normalized by the throat curvature. With these solutions, expressions for the characteristic velocity and the specific impulse of the sonic nozzle were derived. Although the coefficients in the series may be significantly different from the corresponding ones for potential flow, they can be computed in closed form for a given variation in the specific heat ratio.
Published Version
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