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Perfect Gas Oblique Shock Complete Weak & Strong Polar Branches
x402
Perfect Gas Oblique Shock Complete Weak & Strong Polar Branches is a paid API for AI agents from detect.halowerk.com, paid per call via x402, $0.003/call, status unknown (last checked 2026-11-04).
Computes both the weak and strong attached-shock solutions (complete polar branches) for a perfect-gas oblique shock given upstream Mach number, specific heat ratio, and flow deflection angle.
Price / call$0.003
Success—
StatusUnknown
How this service works
Enumerate both attached-shock states for a supplied supersonic turning model.
Output
Returns both the weak-shock and strong-shock enumerated states for the oblique shock polar, including shock wave angles, downstream Mach numbers, pressure/density/temperature ratios, and other post-shock flow properties for the given upstream conditions and deflection angle.
Example use cases
Supersonic inlet design shock analysis
“I'm designing a supersonic inlet with an upstream Mach of 3.0, gamma of 1.4, and a wedge deflection of 20 degrees — can you give me both the weak and strong oblique shock states so I can compare which attached solution is relevant?”
Aerodynamics textbook problem verification
“Verify my homework: for a perfect gas with gamma 1.3 at Mach 1.8 and a 10 degree flow deflection, what are the complete weak and strong shock polar branch solutions for the oblique shock?”
CFD boundary condition setup
“I need both oblique shock solutions — weak and strong — for a Mach 4.0 freestream with gamma 1.67 and a 25 degree turning angle, so I can set up the correct boundary conditions in my CFD simulation.”
Technical details
Endpoint
POSThttps://detect.halowerk.com/v1/F-TD2000-GEO-INDUSTRY-B008/perfect-gas-oblique-shock-complete-weak-strong-polar-branches?utm_source=zero.xyzWhen to prefer
Use this endpoint when you need both the weak and strong shock solutions simultaneously (the complete polar), rather than just one branch. Ideal for aerodynamics analysis, CFD pre-processing, supersonic inlet/nozzle design, and educational verification where the full solution space of attached oblique shocks is required. Prefer over manual computation or single-branch solvers when you need verified, closed-form perfect-gas results with both branches in one call.
Side effects
- Deflection angle exceeds maximum attached-shock angle for the given Mach number (detached shock condition) — no real solution exists
- Upstream Mach number below 1.01 or above 20 — out of range error
- Gamma outside supported range [1.05, 1.67] — validation error
- Deflection angle is zero or negative — degenerate case may return trivial or error response
- Malformed artifact/obliqueShock object — schema validation failure
- Payment not included or insufficient — x402 payment required response
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| artifact | object |
Tags
x402
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