calculation · Water Fuel Cell · computed
WFC design session v51: best candidate (Q=101.6, 99.5kHz)
Sweep — Finer geometry grid around the adopted 10mm/50mm best while co-sweeping film-relevant levers — moderate gap widening plus colder/purer water to shed Q gently — against a low-duty peak_v ladder and gamma_se, hunting the 80-250 Td / M=0.1-1 sub-critical corner without the already-tried multi-cell or warm-water routes.
- Cell — 12mm rod in 14.0mm tube × 45mm, 1 cell(s) parallel → C_eff = 1.39nF, bulk water R = 118614Ω.
- Water/electrodes (Randles) — 0.1ppm Na+ @ 5°C, surface ×1 → λ_D 228nm, C_dl 3.0µF, cell series R 11.1Ω, displacement current 99.0%, breakdown margin ×55.
- Fig-8 voltammetry (4,798,661) — τ_EDL 360402.3µs (35848.9 carrier cycles to charge), Faradaic leakage at peak 111.4mA (leak score 0.48 — keep amp leakage inhibited while voltage climbs the ladder).
- Vapor-film discharge (CGDE onset, 1220V across 0.1mm film) — regime townsend-avalanche, film Paschen 778V, 486 Td — OUTSIDE the 80-250 Td cold window.
- Townsend α/γ — γ = 0.003 (electrode lever), criterion M = γ(e^{αd}−1) = 33127.808 → self-sustaining (M≥1) — γ feedback closed, heading for thermalization.
- Per-molecule (series micro-capacitor chain) — 3.70M molecules across 1.00mm → 329.32 µV/molecule (polarization (µV band)).
- Chokes — 2 × 0.000919H (20 turns, AWG 18, 2m wire, AC R 0.1Ω each).
- At resonance f_r = 99.47kHz — Xl = 1149Ω, Xc = 1149Ω, tank Q = 101.6, coil Q = 6530.5.
- Cell voltage 1220V from 12V drive (×101.6). Tank current 1.06A circulating (CW upper bound — rate wire/switch for this); average input 21mA at 2% duty.
- No hard violations (band, wire length, dielectric). Average current is scored, not gated.
- Score 0.763.
Basis
- Confidence
- 0.70
- Method
- townsend-v5
- Recorded
- Published
- 30 Aug 2026
- Device
- Water Fuel Cell
- Component
- cell
- Source Ref
- design session v51
- Notebook Id
- 1648
design-loop Q resonance