physics.fluid.pipe_bend

O2: circular-arc bend K=0.21 (θ/90)/√(R/D) vs a separate-module identity (≤2 ULP). Not minor-loss K given, not mitered, not Darcy, and not Q=Av. ≤2 ULP vs O3 applies only to the published tabulated pipe-bend vectors. Not minor-loss K given, not mitered, not Darcy, and not Q=Av.

This summary records the outcome of the verification run. The full test corpus, oracle implementations, reference tables and generators are retained privately. Their digests identify those artifacts; a digest alone does not let a reader independently reproduce the full verification run.

Recorded result

8/8 passed

Oracle

O3 · mpmath 1.4.1

Reference table commitment (SHA-256)

4d1098f6864e9e4efa978bb7f21ce1fe0daca7d95e09d8c7285d9254a69f8bf5

Generator commitment (SHA-256)

fe1e323b6692555f82f557a579695ec4fbaafaae2fce1cd3bd8a20f07eb24140

Check a calculation

Use the capability's public input schema and examples to call the versioned REST API or MCP. These interfaces remain available without downloading the validation infrastructure. A successful example checks that example; it does not establish that the complete private suite has been independently reproduced.