calculation · Steam Resonator · computed

Steam Resonator design session v3: best candidate (3.67kg/hr, 0% non-ohmic)

Sweep — Non-ohmic fraction = f·ε''/σ is field/voltage-INDEPENDENT, so stop starving V and instead drive switch_hz all the way to the 30-100 GHz Debye PEAK (not just the tail) in ultrapure near-freezing water where σ collapses and τ is longest, with sub-ns edges to load odd harmonics right on the peak.

Score 0.507 — 3.675 kg/hr steam, 0.0% of the heat non-ohmic

Cavity — 2 × coaxial T-304, rod 12.00mm in 19.04mm ID, 196mm active (gap 3.52mm, 67.3 mL water)
Drive — 1500V, 0.010 MHz sequential switchover, 45% phase duty, 10% dead-time
Amp restrict — pickup 1Ω + choke 50Ω resistive wire → leakage 2111.59 mA
Field — ⟨E⟩ 422.7 kV/m, establishes to 100% in the on-time (τ_bulk 1870 ns)
Drive shape — BIPOLAR (cross-coupled switchover — field reverses each phase), 100ps edges → 1001 odd harmonics counted up to 3.18 GHz
Debye — ε'' = 8.87e-6 at 0.010 MHz; water relaxes at 56.9 GHz → running at 1.76e-5% of the loss peak
Double layer — FROZEN OUT (charges 0.05% per phase, τ_EDL 84929.3 µs) — this is the amp restriction working

Heat budget

dielectric relaxation 1.714e-4 W   ← Stan's "particle impact"
double-layer cycling  1.323e+3 W   ← also amp flow
ohmic leakage         1.323e+3 W   ← the amp flow to restrict
= cavity heat         2.646e+3 W  (0.0% non-ohmic)
VIC resistive loss    2.046e+2 W
electrical input      2.850e+3 W  → thermal η 92.8%

Yield — 1.021e+0 g/s = 3.675 kg/hr, 1.289 g/Wh

Basis

Confidence: 0.70
Method: steam-debye-v1
Recorded: 25 Aug 2026
Published: 30 Aug 2026
Device: Steam Resonator
Component: resonant-cavity
Source Ref: design session v3
Notebook Id: 1668

design-loop steam-resonator dielectric-heating