epg lane: score 0.8879 (epg-faraday-v1)

Score 0.888 — η 60.0%, 108.45 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 106.5mm, loop 200mm, spiral pitch 20mm

• Coil array — 9 × 1186 turns AWG16, 5mm long (3705m wire, 48.80Ω)

• Medium — slurry, φ=25.26% (3.20× documented), remanence 30%, ρ 2217.9 kg/m³ → M 33.4 kA/m, B 316 G

• Flow — 0.25 m/s (0.8 fps), Re 3716 transitional, ΔP 5 Pa

• Modulation — depth 0.900 — coil/pitch 0.25

• Output — 148.54 V into 73.4Ω at 12.4 Hz (matched load would be 48.80Ω)

Energy budget

electrical gross   180.562 W
− coil I²R         72.113 W
= net to load      108.449 W
hydraulic input    0.114 W
eddy (tube wall)   3.46e-8 W
hydraulic_w        0.114
lenz_w             180.562
mechanical input   180.675 W  (drive terms + Lenz reaction + eddy)
η = 60.02%

• Params — {"tube_id_mm":106.5,"loop_length_mm":200,"coil_turns":1186,"coil_count":9,"coil_length_mm":5,"awg":16,"spiral_pitch_mm":20,"velocity_ms":0.24746160019198826,"pump_efficiency":0.1,"load_ohm":73.38996291303684,"loading_scale":3.1975078480499164,"remanence_scale":1.4833333333333334}
• Planner: doe: — live [Loading ×, Tube bore, Wire gauge, Turns per coil, Coil length, Coils in array, Remanence ×, Load], refined 0.887