epg lane: score 0.9552 (epg-faraday-v1)

Score 0.955 — η 62.2%, 99.12 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 24mm

• Coil array — 9 × 1741 turns AWG14, 5mm long (3667m wire, 30.40Ω)

• Medium — slurry, φ=32.49% (4.11× documented), remanence 32%, ρ 2506.4 kg/m³ → M 46.4 kA/m, B 438 G

• Flow — 0.25 m/s (0.8 fps), Re 2030 laminar, ΔP 7 Pa

• Modulation — depth 0.931 — coil/pitch 0.21

• Output — 113.20 V into 50.0Ω at 10.2 Hz (matched load would be 30.40Ω)

Energy budget

electrical gross   159.385 W
− coil I²R         60.267 W
= net to load      99.118 W
hydraulic input    0.066 W
eddy (tube wall)   1.99e-8 W
hydraulic_w        0.066
lenz_w             159.385
mechanical input   159.451 W  (drive terms + Lenz reaction + eddy)
η = 62.16%

• Params — {"tube_id_mm":70.5,"loop_length_mm":200,"coil_turns":1741,"coil_count":9,"coil_length_mm":5,"awg":14,"spiral_pitch_mm":24.23055312697551,"velocity_ms":0.24746104520546405,"pump_efficiency":0.1,"load_ohm":49.99999963791732,"loading_scale":4.1129114095242985,"remanence_scale":1.6}
• Planner: doe: — live [Loading ×, Tube bore, Turns per coil, Wire gauge, Spiral pitch, Coils in array, Remanence ×], refined 0.948