epg lane: score 0.1666 (epg-faraday-v1)

Score 0.167 — η 4.3%, 45.42 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 80.0mm, loop 1000mm, spiral pitch 150mm

• Coil array — 8 × 1800 turns AWG18, 50mm long (3800m wire, 79.54Ω)

• Medium — slurry, φ=7.90% (as documented), remanence 20%, ρ 1525.2 kg/m³ → M 7.0 kA/m, B 75 G

• Flow — 9.14 m/s (30.0 fps), Re 145867 turbulent, ΔP 12877 Pa

• Modulation — depth 0.827 — coil/pitch 0.33

• Output — 121.00 V into 100.0Ω at 60.9 Hz (matched load would be 79.54Ω)

Energy budget

electrical gross   81.553 W
− coil I²R         36.128 W
= net to load      45.424 W
hydraulic input    985.973 W
eddy (tube wall)   1.32e-7 W
hydraulic_w        985.973
lenz_w             81.553
mechanical input   1067.525 W  (drive terms + Lenz reaction + eddy)
η = 4.26%

• Violations: — Re 145867 turbulent — slug structure breaks up and pumping cost climbs as v³

• Params — {"tube_id_mm":80,"loop_length_mm":1000,"coil_turns":1800,"coil_count":8,"coil_length_mm":50,"awg":18,"spiral_pitch_mm":150,"velocity_ms":9.14,"pump_efficiency":0.6,"load_ohm":100,"loading_scale":1,"remanence_scale":1}

• Planner: first — session: base grid