epg lane: score 0.6546 (epg-faraday-v1)

Score 0.655 — η 60.6%, 0.20 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 102.0mm, loop 200mm, spiral pitch 200mm

• Coil array — 9 × 1305 turns AWG14, 5mm long (3911m wire, 32.42Ω)

• Medium — slurry, φ=32.30% (4.09× documented), remanence 32%, ρ 2498.8 kg/m³ → M 46.1 kA/m, B 492 G

• Flow — 0.05 m/s (0.2 fps), Re 584 laminar, ΔP 1 Pa

• Modulation — depth 0.999 — coil/pitch 0.03

• Output — 5.24 V into 50.0Ω at 0.3 Hz (matched load would be 32.42Ω)

Energy budget

electrical gross   0.333 W
− coil I²R         0.131 W
= net to load      0.202 W
hydraulic input    0.000 W
eddy (tube wall)   3.15e-11 W
hydraulic_w        0.000
lenz_w             0.333
mechanical input   0.333 W  (drive terms + Lenz reaction + eddy)
η = 60.61%

• Params — {"tube_id_mm":102,"loop_length_mm":200,"coil_turns":1305,"coil_count":9,"coil_length_mm":5,"awg":14,"spiral_pitch_mm":200,"velocity_ms":0.05,"pump_efficiency":0.9,"load_ohm":50,"loading_scale":4.088826906348592,"remanence_scale":1.6}
• Planner: doe: — live [Loading ×, Tube bore, Wire gauge, Loop length, Coil length, Turns per coil, Coils in array], refined 0.652