Abstract
The regular reflection of an oblique steady shock in supersonic gas flow is considered. The static pressure extremum conditions after the point of reflection of the shock with fixed strength depending on oncoming flow Mach number are determined analytically. The obtained results are applied to solution of the mechanically equivalent problem of the reflection of a propagating shock from an inclined surface. Non-monotonic variation of the mechanical loads on the obstacle with respect to its inclination angle is shown; the obstacle slope angles that correspond to pressure minima downwards of the unsteady shock reflection point are determined analytically.
Highlights
The regular reflection of steady and unsteady shocks from a rigid surface or a flow symmetry plane is well-studied phenomenon
The strength J1 of the incident shock is the static pressure ratio across it, and the amplitude p1 is the difference between pressures while crossing the shock
G3 1 2, G2 3 1 1 M 2 1, G1 1 1 3 2 M 4 2 1 1 2 M 2 1 1 2, G0 1 M 4 1 1 1 2 M 2 1 1 2, Solution of (7), shown by curve 3 in Fig. 2a, indicates that it really corresponds to the reflected shock strength minima and pressure minima downstream of it
Summary
The regular reflection of steady and unsteady shocks from a rigid surface or a flow symmetry plane is well-studied phenomenon. The strength J1 of the incident shock is the static pressure ratio across it, and the amplitude p1 is the difference between pressures while crossing the shock (the shock overpressure which is especially important in problems of blast reflection [1, 2] and corresponding structural survivability [35]). The reflected shock strength J 2 M , J1 and its amplitude (overpressure) p2 M , p1 are monotonic functions of the strength J1 (or the amplitude p1 ) of the incident perturbation. It is proven analytically in the present study that the reflected shock parameters are non-monotonic functions of the flow Mach number М , and the pressure extreme conditions downstream of the reflected shocks are determined analytically. The pressure downstream of the reflection point of an oblique steady shock at an incidence angle 1
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