calculation · Steam Resonator · computed

steam-resonator lane: score 0.4515 (steam-debye-v1)

Score 0.452 — 1.120 kg/hr steam, 0.0% of the heat non-ohmic

Cavity — 1 × coaxial T-304, rod 3.00mm in 27.00mm ID, 40mm active (gap 12.00mm, 22.6 mL water)
Drive — 2000V, 0.065 MHz sequential switchover, 45% phase duty, 2% dead-time
Amp restrict — pickup 1Ω + choke 1Ω resistive wire → leakage 393.77 mA
Field — ⟨E⟩ 142.2 kV/m, establishes to 100% in the on-time (τ_bulk 286 ns)
Drive shape — BIPOLAR (cross-coupled switchover — field reverses each phase), 100ps edges → 1001 odd harmonics counted up to 3.18 GHz
Debye — ε'' = 5.78e-5 at 0.065 MHz; water relaxes at 56.9 GHz → running at 1.15e-4% of the loss peak
Double layer — FROZEN OUT (charges 0.01% per phase, τ_EDL 57106.7 µs) — this is the amp restriction working

Heat budget

dielectric relaxation 2.777e-4 W   ← Stan's "particle impact"
double-layer cycling  3.542e+2 W   ← also amp flow
ohmic leakage         3.542e+2 W   ← the amp flow to restrict
= cavity heat         7.085e+2 W  (0.0% non-ohmic)
VIC resistive loss    2.791e-1 W
electrical input      7.088e+2 W  → thermal η 100.0%

Yield — 3.110e-1 g/s = 1.120 kg/hr, 1.580 g/Wh
Params — {"inner_d_mm":3,"gap_mm":12,"length_mm":40,"cells":1,"supply_v":2000,"switch_hz":65208.52492398737,"duty":0.45,"dead_time_frac":0.02,"pickup_ohm":1,"choke_ohm":1,"water_ppm":31.622776601683793,"inlet_c":95,"rise_time_ns":0.1}
Planner: doe: — live [Supply V, Choke R, Pickup coil R, Inlet temp, Switch rate], refined 0.452

Basis

Confidence: 0.70
Method: steam-debye-v1
Recorded: 17 Sep 2026
Published: 21 Sep 2026
Stanbot: v3
Source Ref: design lane steam-resonator / steam-debye-v1
Notebook Id: 3398

lane steam-resonator steam-debye-v1