Comparison of Transonic Flow Solutions in C-D Nozzles


Book Description

The method of characteristics has proven to be a highly accurate and relatively straight forward technique for computing the supersonic flow field in a two-dimensional or axisymmetric nozzle. However, the method of characteristics requires an initial value line traversing the flow in the fully supersonic region on which the flow properties are known. A parametric study of the effect of different transonic flow calculation methods for establishing the initial value line for axisymmetric converging-diverging nozzles was conducted. The Mach number and radial velocity distributions along a reference start line were calculated and compared for several different transonic solutions for a series of nozzles with different throat radii of curvature. These initial value lines were then used to initiate a method of characteristics analysis of several geometrically different axisymmetric nozzles in order to investigate the impact on calculated performance.







Transonic Flow Through Converging-diverging Nozzles of Elliptical Cross Section


Book Description

A simple, but approximate form of the equation of motion for potential flow is derived for the transonic flow field in an elliptical nozzle. The curvature of the nozzle surface in the vicinity of the throat must be gradual. The approximate equation is solved by means of a double power series. The solution shows that thermodynamic and gasdynamic properties are constant along elliptic paraboloids. For the special cases of axially symmetric and plane nozzle flows, the solutions become identical to those obtained by Sauer. (Author).
















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Book Description