epg lane: score 0.9416 (epg-faraday-v1)

Score 0.942 — η 65.7%, 104.26 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 70.5mm, loop 200mm, spiral pitch 20mm

• Coil array — 9 × 1741 turns AWG15, 5mm long (3667m wire, 38.32Ω)

• Medium — slurry, φ=32.63% (4.13× documented), remanence 32%, ρ 2512.1 kg/m³ → M 46.6 kA/m, B 440 G

• Flow — 0.25 m/s (0.8 fps), Re 2023 laminar, ΔP 7 Pa

• Modulation — depth 0.900 — coil/pitch 0.25

• Output — 133.15 V into 73.4Ω at 12.4 Hz (matched load would be 38.32Ω)

Energy budget

electrical gross   158.700 W
− coil I²R         54.442 W
= net to load      104.258 W
hydraulic input    0.067 W
eddy (tube wall)   2.94e-8 W
hydraulic_w        0.067
lenz_w             158.700
mechanical input   158.767 W  (drive terms + Lenz reaction + eddy)
η = 65.67%

• Params — {"tube_id_mm":70.5,"loop_length_mm":200,"coil_turns":1741,"coil_count":9,"coil_length_mm":5,"awg":15,"spiral_pitch_mm":20,"velocity_ms":0.24746104520546405,"pump_efficiency":0.1,"load_ohm":73.38996291303684,"loading_scale":4.130933487377677,"remanence_scale":1.6}
• Planner: doe: — live [Tube bore, Loading ×, Coil length, Turns per coil, Remanence ×, Wire gauge, Medium velocity], refined 0.907