Definition of parameters across an oblique shock wave.
Schematic illustration of the wave configuration of a MR.
Schematic illustration of the wave configurations of a vNR, the newly presented reflection ?R, and the GR. Gray denotes subsonic flow.
Schematic illustration of a four-wave configuration and definition of parameters.
-polar presentation of a possible MR solution for which (a) ( , , and ); (b) ( , , and ); and (c) ( , , and ).
The wave configurations of the three possible solutions of the three-shock theory whose graphical solutions are shown in Figs. 5(a)–5(c) , respectively.
Schematic illustration of a GR.
The -polar combinations for and : (a) (MR); (b) 38.2° ; (c) 34.5° (vNR); (d) 33.9° ; (e) 32.5° (?R); (f) 31.8° ; and (g) 30° (GR). Recall that . The sonic point is marked on all the shock polars.
Evolution-tree-type presentation of the transition criteria between the various reflections.
Domains of and the transition boundaries between the various shock wave reflection configurations in the plane for (a) and (b) . Curve 1: The transition curve, i.e., . Curve 2: The transition curve, i.e., . This curve also separates the domains in which the 3ST does or does not have a physical solution. Curve 3: The transition curve, i.e., . Curve 4: The curve on which . Below this curve, the flow behind the incident shock wave is subsonic and a reflection cannot take place! Curve 5: Above this curve, the 3ST has at least one mathematical solution (not necessarily physical) and below it, the 3ST does not have any mathematical solution ( , , is the incident shock wave Mach number, is the reflecting wedge angle, and is the triple-point trajectory angle).
Summary of the reflection types that occur when is decreased for and .
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