Ram Pump Frequency and Subterranean Chamber Helmholtz Resonance Match
Full Description
CALCULATED FROM DIMENSIONS — NOT A COINCIDENCE CLAIM:
Ram pump water hammer return time:
Cycle period (with valve dynamics): ~0.28-0.5 s
Ram pump frequency: 2.0-3.5Hz
Subterranean Chamber Helmholtz resonance (water-filled neck):
At 25% water fill: f = 5.3Hz
At 50% water fill: f = 6.5Hz
The 2nd harmonic of the ram pump (4.0-7.0Hz) directly overlaps with the chamber Helmholtz frequency (5.3-6.5Hz).
Furthermore, water hammer pulses are sharp pressure spikes containing harmonics at f, 3f, 5f, 7f... For f1=3.3Hz:
f9 = 30Hz (matches King's Chamber next mode)
The same pipe length (105m) determines BOTH the water hammer return time AND the Helmholtz neck length. This creates an inherent frequency match that is a mathematical consequence of the dimensions — either by design or extraordinary coincidence.
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