epg lane: score 0.8947 (epg-faraday-v1)

Score 0.895 — η 65.1%, 79.72 W net

• Variant — EPG #1 — mechanical pump ("Red pump") [modeled]
  EPG Models page 179; WFC Dealership Manual Fig 27; Little Giant B-500, 500 GPH @ 1 ft lift

• Medium ref — Ferrotec EFH-1 ferrofluid — named in EPG Speculations (page 191); properties from Ferrotec datasheet, NOT from Stan

• Tube — conductive wall (eddy loss charged)

• Modulation — from spiral-divider

• Pathway — bore 88.5mm, loop 200mm, spiral pitch 20mm

• Coil array — 9 × 1437 turns AWG15, 5mm long (3758m wire, 39.27Ω)

• Medium — slurry, φ=28.89% (3.66× documented), remanence 32%, ρ 2362.5 kg/m³ → M 41.2 kA/m, B 389 G

• Flow — 0.19 m/s (0.6 fps), Re 2138 laminar, ΔP 3 Pa

• Modulation — depth 0.900 — coil/pitch 0.25

• Output — 117.43 V into 73.4Ω at 9.5 Hz (matched load would be 39.27Ω)

Energy budget

electrical gross   122.388 W
− coil I²R         42.664 W
= net to load      79.724 W
hydraulic input    0.033 W
eddy (tube wall)   2.13e-8 W
hydraulic_w        0.033
lenz_w             122.388
mechanical input   122.422 W  (drive terms + Lenz reaction + eddy)
η = 65.12%

• Params — {"tube_id_mm":88.5,"loop_length_mm":200,"coil_turns":1437,"coil_count":9,"coil_length_mm":5,"awg":15,"spiral_pitch_mm":20,"velocity_ms":0.18956175394683739,"pump_efficiency":0.1,"load_ohm":73.38996291303684,"loading_scale":3.6564451761663084,"remanence_scale":1.6}
• Planner: doe: — live [Loading ×, Turns per coil, Tube bore, Remanence ×, Medium velocity, Loop length, Coil length, Wire gauge], refined 0.888