Indicated vs. Brake Work: IMEP & BMEP
The cylinder makes more work than the crankshaft delivers — and two pressures, IMEP and BMEP, measure each side of that gap.
Bolt a dynamometer to the crankshaft and you measure one number; fit a pressure sensor in the cylinder and you measure another, always higher. The difference is friction and pumping — the engine's tax on itself.
Two power numbers, one gap
An engine's indicated power is the work the combustion gas does on the piston, found by integrating cylinder pressure over volume (the indicator diagram). The brake power is what actually comes out at the crankshaft — measured by a dynamometer — and it is always less, because the engine spends some of its indicated work overcoming its own internal friction (pistons, bearings, valve train) and pumping losses (drawing air in and pushing exhaust out). That difference is the friction power. So brake power = indicated power − friction power, and the ratio brake/indicated is the mechanical efficiency — typically 80–90% at full load, falling at light load where friction is a bigger slice of a smaller pie.
MEP: the size-independent yardstick
Raw torque or power depends on engine size, so they're poor for comparison. Mean effective pressure (MEP) is the trick: it's the constant pressure that, acting over one power stroke, would produce the cycle's work. Because MEP is a pressure, it normalises away the displacement — a 2-litre engine and a 5-litre engine with the same BMEP are equally efficient at turning displacement into work. IMEP uses indicated work; BMEP uses brake work; the difference is the FMEP (friction MEP). Naturally-aspirated petrol engines run ~8–13 bar BMEP at full load; turbos push higher; diesels sit a little higher still. A high BMEP at a given speed means the engine is working its displacement hard.
Two engines: a 1.5-litre turbo making 180 N·m, and a 3.0-litre naturally-aspirated making 300 N·m. Which works its displacement harder? Convert torque to BMEP and the smaller, torquier (forced-induction) engine usually wins. That is why BMEP — not raw torque — is how engineers judge whether an engine is stressed, efficient, or leaving performance on the table. It's also why a turbocharged engine can match a much larger naturally-aspirated one: forced induction raises BMEP, cramming more air (and fuel) into the same displaced volume.
- Friction power P_f = P_i − P_b = 95 − 80 = 15 kW
- Mechanical efficiency η_m = P_b / P_i = 80 / 95 = 0.842 (84.2%)
- P = (1.0×10⁶ × 0.002 × 4000) / (4 × 60) = (8.0×10⁹ × 0.002... )
- = (1.0×10⁶ × 0.002 × 4000) / 240 = 8.0×10⁶ / 240 = 33,333 W ≈ 33.3 kW
Check your understanding
- Indicated work (cylinder pressure, IMEP) > brake work (shaft, BMEP) by friction/pumping (FMEP)
- Brake power = indicated − friction; mechanical efficiency η_m = brake/indicated (~80–90% full load, less at light load)
- MEP normalises out displacement, so IMEP/BMEP compare engines of any size on a pressure basis
- Forced induction raises BMEP, letting a small engine match a larger naturally-aspirated one