epg lane: score 0.8804 (epg-faraday-v1)

Score 0.880 — η 63.7%, 259.78 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 120.0mm, loop 200mm, spiral pitch 20mm

• Coil array — 9 × 979 turns AWG14, 5mm long (3432m wire, 28.45Ω)

• Medium — slurry, φ=30.21% (3.82× documented), remanence 29%, ρ 2415.2 kg/m³ → M 38.4 kA/m, B 363 G

• Flow — 0.25 m/s (0.8 fps), Re 3730 transitional, ΔP 5 Pa

• Modulation — depth 0.900 — coil/pitch 0.25

• Output — 178.83 V into 50.0Ω at 12.4 Hz (matched load would be 28.45Ω)

Energy budget

electrical gross   407.612 W
− coil I²R         147.836 W
= net to load      259.776 W
hydraulic input    0.139 W
eddy (tube wall)   5.80e-8 W
hydraulic_w        0.139
lenz_w             407.612
mechanical input   407.751 W  (drive terms + Lenz reaction + eddy)
η = 63.71%

• Params — {"tube_id_mm":120,"loop_length_mm":200,"coil_turns":979,"coil_count":9,"coil_length_mm":5,"awg":14,"spiral_pitch_mm":20,"velocity_ms":0.24746160019198826,"pump_efficiency":0.1,"load_ohm":50,"loading_scale":3.823622469483589,"remanence_scale":1.425}
• Planner: doe: — live [Turns per coil, Tube bore, Loading ×, Remanence ×, Accelerator η], refined 0.887