Compressible flow, solved in the direction you actually need

Most calculators evaluate the easy direction and stop. These do the inverse solve, report every branch, and take γ as an input rather than assuming air.

Available now

• Oblique shock calculator

  Wedge angle to wave angle, with both the weak and strong roots, the detachment limit stated as a number, the full downstream state, and a live θ–β–M diagram. Solves β → θ, and Mach number from two measured angles.

Working, still being written up

These solvers are built, tested and usable now. What they are waiting on is the explanation that belongs under them, so they are not in the sitemap yet — but they work.

• Prandtl–Meyer expansion

  Turn a supersonic flow around a corner, and see how much turning is left before it expands to vacuum.

• Isentropic flow

  Solve from any ratio, with both roots of the area ratio side by side.

• Normal shock

  From either Mach number, any jump ratio, or a pitot reading.

• Fanno flow

  Friction in a duct, solved from the length to choking.

• Rayleigh flow

  Heat addition, and the temperature peak that sits below sonic.

Being built

• Shock detachment angle — maximum deflection against Mach number
• Taylor–Maccoll conical flow
• Printable table appendix at arbitrary γ

How these differ

Both directions

Any single input yields the rest, including the implicit ones. θ → β for oblique shocks, ν → M for Prandtl–Meyer, inverse solves for choking-length problems.

γ is an input

Never hardcoded to 1.4. Combustion products, helium tunnels and non-air working fluids give different answers, and most calculators cannot produce them.

Every result is a link

The full input state lives in the URL, so a worked case can be pasted into a problem set or a forum answer and it will restore exactly.

Verified against published tables

Each solver is checked against NACA Report 1135, by hand, before it ships — alongside a machine suite covering the exact limits, conservation across the shock, and every inverse round trip.