The dirty secret of supersonic wind tunnels: turning them ON is the hard part. During startup a normal shock must sweep through the test section — and the second throat has to be big enough to swallow it (all its mass flow at reduced total pressure). Too small → the shock parks in your test section and the tunnel unstarts 💥. Too big → your diffuser recovers nothing. Design the second throat, press ▶ START, and find the knife's edge.
p₀₂/p₀₁ = f(M) < 1. Choked mass flow scales as ṁ ∝ p₀·A*, so to pass the SAME
mass flow with LESS total pressure, the second throat must be larger:A_t2/A_t1 ≥ p₀₁/p₀₂ = 1/(p₀₂/p₀₁) — at M = 2 that's ≥ 1.387, at M = 3 it's ≥ 3.045.