epg lane: score 0.9483 (epg-faraday-v1)

Score 0.948 — η 59.4%, 119.91 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 76.5mm, loop 200mm, spiral pitch 20mm

• Coil array — 9 × 1437 turns AWG15, 5mm long (3271m wire, 34.18Ω)

• Medium — slurry, φ=32.88% (4.16× documented), remanence 32%, ρ 2521.7 kg/m³ → M 46.9 kA/m, B 443 G

• Flow — 0.25 m/s (0.8 fps), Re 2182 laminar, ΔP 6 Pa

• Modulation — depth 0.900 — coil/pitch 0.25

• Output — 130.36 V into 50.0Ω at 12.4 Hz (matched load would be 34.18Ω)

Energy budget

electrical gross   201.878 W
− coil I²R         81.968 W
= net to load      119.909 W
hydraulic input    0.067 W
eddy (tube wall)   3.52e-8 W
hydraulic_w        0.067
lenz_w             201.878
mechanical input   201.945 W  (drive terms + Lenz reaction + eddy)
η = 59.38%

• Params — {"tube_id_mm":76.5,"loop_length_mm":200,"coil_turns":1437,"coil_count":9,"coil_length_mm":5,"awg":15,"spiral_pitch_mm":20,"velocity_ms":0.24746104520546405,"pump_efficiency":0.1,"load_ohm":49.99999963791732,"loading_scale":4.16150578809675,"remanence_scale":1.6}
• Planner: doe: — live [Loading ×, Tube bore, Wire gauge, Turns per coil, Load, Remanence ×], refined 0.951