SIMILAR SOLUTIONS IN VIBRATIONAL NONEQUILIBRIUM NOZZLE FLOWS
AEROSPACE RESEARCH LABS WRIGHT-PATTERSON AFB OH
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The problem of obtaining similar solutions in pseudo-one-dimensional nozzle flows with vibrational relaxation is considered. The governing equations are transformed into a similar form by using a new similarity parameter eta so that the nonequilibrium flow solutions depend on two parameters for a given kind of gas. However, the similar equations are further reduced to a universal form by a transformation of the independent variable ETA to xi such that the similar solutions, for all combinations of initial conditions and for a defined family of nozzle shapes, depend on a single parameter chi which are then presented in a single graph. It is also shown that the equilibrium solutions depend on only one parameter xi. The parameters xi and chi are also the exact, general correlating parameters. With the present similar solutions the flow quantities in a nozzle are readily determined without resorting to complex computer programs.
- Fluid Mechanics