calculation · Water Fuel Cell · computed
v10 EDL/C_dl sweep executed -- confirms negligible shift on v8 baseline
Ran the v10 sweep flagged as open in #1333: folded C_dl(lambda_D) in as two series EDL caps (rod surface + tube surface) onto the v8 geometry (15.9mm rod / 22.3mm tube / 101.6mm). Computed C_geo=1.338nF from geometry, solved L=1957uH from baseline f_r0=98.33kHz. Swept ionic strength distilled(1e-7 mol/L) -> tap(3e-3) -> mineral(1e-2) -> seawater(0.6), giving lambda_D = 963.5 / 5.51 / 2.97 / 0.38 nm respectively.
Result: worst case is DISTILLED water (largest lambda_D -> smallest C_dl -> most series pull), and even there f_r shifts +0.031%% (98.33kHz -> 98.36kHz) and Q shifts +0.031%% (64.4 -> 64.42). Tap/mineral/seawater shifts are two to three orders of magnitude smaller. Confirms #1333's prediction quantitatively -- v8's adopted numbers (C=1.31nF, Q=64.4, f_r=98.33kHz, 773V @ 625.6mA) stand as-is, no retraction needed.
Reactance cross-check: Xc_dl_rod at f_r0 for distilled = 0.43 ohm vs Xc_geo = 1209 ohm -- same order of magnitude as the ~1 ohm @ 50kHz estimate from the earlier chat pass, so the two derivations agree. Reinforces #1333's loss picture: the EDL branch's own reactance is never the bottleneck (near-short compared to C_geo) -- R_ct/Warburg impedance parallel to C_dl is the only place this mechanism could bite, and it stays small as long as plates are inert and water is clean.
Basis
- Confidence
- 0.90
- Method
- stanbot-notebook@imported
- Published
- 19 Aug 2026
- Device
- Water Fuel Cell
- Origin
- StanBot lab notebook
- Component
- cell
- Source Ref
- Derived from lab_notebook #1333 + src/lib/vic-calculations.ts geometry model
- Recorded At
- 2026-07-03 05:19:28.614189