Release 0.5.0 / 20 October 2026

On the Radiation of Sound from an Unflanged Circular Pipe

The approximately 0.6133-radius correction is per unflanged end in the low-frequency limit. Extending it unchanged across high harmonics is not justified.

Source and scope

Harold Levine; Julian Schwinger (1948). On the Radiation of Sound from an Unflanged Circular Pipe. Physical Review 73, 383–406.

Read the primary source

DOI: 10.1103/PhysRev.73.383

The approximately 0.6133-radius correction is per unflanged end in the low-frequency limit. Extending it unchanged across high harmonics is not justified.

Use in this release

Measured benchmark and protocol status. Citation does not imply endorsement, partnership or independent review.