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Table 1.

Computed end correction values for each pipe condition using both the classical (Levine & Schwinger) and empirical models. Differences between δ LS and δ m increase slightly with ka, but remain within 3% across all cases.

Cross section Sounding frequency (Hz) a (m) ka δ LS (mm) δ m (mm)
Circular 870 0.01000 0.159 6.1330 6.1033
Circular 2056 0.01000 0.377 6.1330 5.9673
Square 474 0.00564 0.049 3.4590 3.4574
Square 875 0.00564 0.090 3.4590 3.4536

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