CompFlow Tools

Isentropic Flow Calculator

Type into any box — Mach number, a stagnation ratio, the area ratio — and everything else follows, on both sides of the throat at once. At any γ.

Type into any white box. Both roots of the area ratio are always shown, so there is no branch to choose.

Quantity Subsonic before the throat Supersonic after the throat

Ratios against Mach number

p/p₀ T/T₀ ρ/ρ₀ sonic point

What this is computing

NOT WRITTEN YET — Iliya writes this, 300–500 words.

Deliberately loud so it cannot ship by accident. Worth covering:

  • What "isentropic" is actually assuming, and when a real nozzle stops obeying it — shocks, separation, heat transfer, friction.
  • Why A/A* has two roots and what physically picks between them: the back pressure, not the geometry. This is the conceptual trap on this page, the same shape as weak-versus-strong on the oblique page.
  • Why A/A* ≥ 1 always, and what it means that the throat is where A/A* = 1.
  • The sonic reference ratios, and why tables are often printed against them rather than against stagnation conditions.
  • Why γ matters here: nozzle area ratio for a given exit Mach number changes materially between air at 1.4 and combustion products near 1.2, which is exactly the case a rocket person has.