Consider a shock tube as discussed in Sec 17 4 2 and Fig 17 9 High density driver gas with sound speed C 0 and specific heat ratio is held in place by a membrane that separates it from target gas with very low density, sound speed C 1 , and the same specific heat ratio When the membrane is ruptured...

To find the Mach number M of the shock wave propagating into the target gas we can use the RankineHu ...

Consider a shock tube as discussed in Sec. 17.4.2 and Fig. 17.9. High density driver gas with

Question:

Consider a shock tube as discussed in Sec. 17.4.2 and Fig. 17.9. High density “driver” gas with sound speed C₀ and specific heat ratio γ is held in place by a membrane that separates it from target gas with very low density, sound speed C₁, and the same specific-heat ratio γ .When the membrane is ruptured, a strong shock propagates into the target gas. Show that the Mach number of this shock is given approximately by