Understanding the turbo size calculator — concept and principle
Choosing a turbocharger starts with two numbers: how much air the engine needs at the target power, and what pressure ratio the compressor must make. This calculator follows the turbo makers' matching method to estimate both, so you can plot the point on candidate compressor maps.
How it is calculated
Airflow Wa = HP × A/F × BSFC ÷ 60 (lb/min)
MAP = Wa × 639.6 × (Tm + 460) ÷ (VE × N/2 × Vd) (psia)
Outlet pressure = MAP + losses
Pressure ratio = (MAP + losses) ÷ (ambient − inlet depression)
- HP target crank power, A/F air–fuel ratio, BSFC brake-specific fuel consumption (lb/hp·h).
- Tm manifold temperature in °F (converted from °C), N engine rpm, Vd displacement in cubic inches (L × 61.02), VE volumetric efficiency.
- Boost = MAP − ambient, also shown in bar.
The principle
Power comes from burning fuel, and burning fuel needs air in a fixed proportion. BSFC tells you how much fuel each horsepower burns per hour, and the air-fuel ratio scales that up to air mass. To fit that mass of air into the cylinders, the ideal gas law relates mass to pressure, temperature and volume: hotter air needs more pressure for the same mass, and a four-stroke engine fills its cylinders once every two revolutions. The compressor must also make up the pressure lost in the intercooler and pipes, while its inlet sits slightly below ambient because of the air filter.
Worked example
Default inputs: 350 hp, A/F 11.5, BSFC 0.55, 2.0 L, 6,500 rpm, VE 95 %, manifold 50 °C, ambient 14.7 psia, losses 2 psi, inlet depression 1 psi.
- Wa = 350 × 11.5 × 0.55 ÷ 60 = 36.9 lb/min = 0.279 kg/s.
- Tm = 50 °C = 122 °F, so Tm + 460 = 582 °R; Vd = 2.0 × 61.02 = 122.0 in³.
- MAP = 36.9 × 639.6 × 582 ÷ (0.95 × 3,250 × 122.0) = 36.4 psia.
- Boost = 36.4 − 14.7 = 21.7 psi = 1.5 bar.
- Outlet pressure = 36.4 + 2 = 38.4 psia; pressure ratio = 38.4 ÷ (14.7 − 1) = 2.81.
| Target crank power (hp) | Compressor airflow (lb/min) |
|---|---|
| 87.5 | 9.2 |
| 175 | 18.4 |
| 262 | 27.7 |
| 350 | 36.9 |
| 438 | 46.1 |
| 525 | 55.3 |
| 700 | 73.8 |
How to read the result
Plot airflow and pressure ratio on each candidate compressor map. A good match places the point in or near the high-efficiency islands and to the right of the surge line, with room before the choke region. Repeat the calculation at the torque-peak rpm, where airflow is lower but pressure ratio may be similar, to check surge margin. Higher A/F, lower BSFC or a cooler manifold all change the result noticeably.
Common mistakes
- Mixing compressor maps in kg/s or corrected flow with lb/min without converting.
- Entering wheel horsepower as crank horsepower.
Frequently asked questions
What is a typical BSFC for a turbo petrol engine?
Turbo matching guides often use values around 0.50–0.60 lb/hp·h at full load.
Why use a rich air-fuel ratio like 11.5?
Extra fuel helps cool combustion and reduce knock at high boost in petrol engines.
What is the surge line?
The boundary on a compressor map left of which airflow becomes unstable and can damage the turbo.
Sources: Garrett Motion, "How to Select a Turbo, Part 2: Understanding Calculations to Turbo Any Engine"