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).







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.




Two-Dimensional Converging-Diverging Rippled Nozzles at Transonic Speeds. Performed in the Langley 16-Foot Transonic Tunnel


Book Description

An experimental investigation was performed in the Langley 16-Foot Transonic tunnel to determine the effects of external and internal flap rippling on the aerodynamics of a nonaxisymmetric nozzle. Data were obtained at several Mach numbers from static conditions to 1.2 over a range of nozzle pressure ratios. Nozzles with chordal boattail angles of 10, 20, and 30 degrees, with and without surface rippling, were tested. No effect on discharge coefficient due to surface rippling was observed. Internal thrust losses due to surface rippling were measured and attributed to a combination of additional internal skin friction and shock losses. External nozzle drag for the baseline configurations were generally less than that for the rippled configurations at all free-stream Mach numbers tested. The difference between the baseline and rippled nozzle drag levels generally increased with increasing boat tail angle. The thrust-minus-drag level for each rippled nozzle configuration was less than the equivalent baseline configuration for each Mach number at the design nozzle pressure ratio. Carlson, John R. and Asbury, Scott C. Langley Research Center CONVERGENT-DIVERGENT NOZZLES; DISCHARGE COEFFICIENT; DRAG; NOZZLE FLOW; NOZZLE GEOMETRY; THRUST; TRAILING EDGES; TRANSONIC SPEED; WIND TUNNEL TESTS; ANGLE OF ATTACK; BOATTAILS; INTERNAL FRICTION; MACH NUMBER; PRESSURE RATIO; SEPARATED FLOW; SKIN FRICTION...




Unsteady Transonic Flow with Heat Addition


Book Description

Unsteady transonic flows induced by the heat released during condensation of water vapor near the throat of a converging-diverging nozzle have been observed by Wegener and Cagliostro (1973) among others. Unsteady transonic flows with heating may also arise in air blast circuit breakers and in various processes involving the flow of chemically reactive gases. A theory for such flows is developed. The flow is shown to be isentropic and irrotational to first order. Small disturbance potential equations are derived. The oscillatory flows observed by Wegener and Cagliostro are shown to fall in the slowly time varying regime. An exact solution of the slowly time varying equations is found for flow near the throat of a nozzle with uniformly distributed oscillatory Joule heating.