Families of two-dimensional, unsteady shock-induced vortical flows are simulated numerically. The flowsudconsist of one or more regions of light gas, surrounded by heavy gas, being overtaken by a normal shock wave.udThe interaction of the density gradient at each light/heavy interface with the pressure gradient from the shockudwave generates vorticity. This causes the light gas regions to roll up into one or more counter-rotating vortexudpairs, which stir and mix the light and heavy gases. The mixing is characterized by an asymptotic stretching rate.udThe effects of shock strength, light/heavy gas density ratio, and geometry on the mixing are investigated. Theseudtwo-dimensional, unsteady flows are analogous to three-dimensional, steady flows that may be used inudSCRAMJET combustors demanding rapid and efficient mixing of fuel and oxidizer. For such applications, 1)udthe fuel injectors should be elongated in the direction of the shock; 2) multiple smaller injectors are preferableudto a single larger injector; 3) injectors should be arranged in groups of closely spaced pairs, rather thanuduniformly; and 4) multiple shock waves should be utilized, if possible.
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