physics.fluid.colebrook

O2: Colebrook–White 1/√f = −2 log10(ε/D/3.7 + 2.51/(Re√f)) via Haaland start + Newton on √f (≤2 ULP). Not Darcy hf, not laminar 64/Re, and not Swamee–Jain as the product. ≤2 ULP vs O3 applies only to the published tabulated Colebrook vectors. Not Darcy hf and not laminar 64/Re.

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

Reference table commitment (SHA-256)

fd441b18222303c3e9398308d3ef18fa2c74fd931eeb3c8e9b9504192854d72a

Generator commitment (SHA-256)

3a4828e86fe538ef295bec11ec693fe86170d6a9fb5c945768eb4bbb6d3735e8

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.