Interaction of oblique shock and detonation waves
Abstract
The interaction of an oblique shock wave and an oblique detonation wave which deflect the flow in the same direction is analyzed. The detonation wave is assumed to be an exothermic gasdynamic discontinuity. A criterion is developed and used to determine whether or not a theoretical solution of the problem describes a physically realizable interaction configuration. It is found that the reflected wave is, in general, a rarefaction wave. Only for very low values of the heat release parameter of the detonation wave the reflected wave has been found to be a shock wave. Domains of existence of such resulting wave interaction configurations are established for different values of the oncoming Mach number, 6 less than or equal M less than or equal 8, the heat release parameter, 3 less than or equal Q less than or equal 8, and the specific heat ratios for the combustion products behind the detonation wave, 1.30 less than or equal gamma less than or equal 1.33. It is also found that double discontinuity configurations, representing the refraction of a detonation wave at a combustible/noncombustible interface (a limiting case of the considered interaction problem) can exist for certain values of the flow parameters involved and for different specific heat ratios of the gases in front of and behind the detonation wave. The magnitudes of the heat release parameter and specific heat ratio of the combustion products affect significantly the interaction pattern of shock and detonation waves. It is, concluded that the interaction problem considered be based on a detailed thermochemical analysis for given combustible mixtures of gases.
 Publication:

Interim Technical Report Toronto Univ
 Pub Date:
 February 1982
 Bibcode:
 1982toro.rept.....S
 Keywords:

 Detonation Waves;
 Oblique Shock Waves;
 Shock Wave Interaction;
 Combustion Products;
 Gas Dynamics;
 Graphs (Charts);
 Hypersonic Flow;
 Mach Number;
 Reflected Waves;
 Specific Heat;
 Thermochemistry;
 Fluid Mechanics and Heat Transfer