Turbo calculator

Enter a power target, boost, altitude and the engine. You get the airflow the target needs, the compressor pressure ratio, and the engine's airflow across the rpm range as points to plot on a compressor map.

Target, boost and engine

hp
Enter a number greater than zero.
:1
Default 12.0:1, an assumption for a boosted gasoline engine at full load. Use your own tune's figure. Enter a ratio from 5 to 20.
lb/hp/hr
Default 0.60, a common rule of thumb for boosted gasoline engines, not a measured value. Enter a BSFC from 0.20 to 1.50.
psi
Enter a boost of 0 or more.
ft
Enter an altitude from -1,500 to 15,000 ft (-457 to 4,572 m).
psi
Intercooler and pipe losses between compressor and manifold. The compressor has to make this on top of the gauge boost. Default 0. Enter 0 or more.
Enter a displacement greater than zero.
%
Held the same at every rpm, which real engines are not. Enter a VE from 10 to 150%.
°F
After the intercooler, if there is one. Enter a temperature from -60 to 400 °F (-51 to 204 °C).
rpm
Enter an rpm from 500 to 25,000.
rpm
Enter an rpm above the lowest rpm, up to 25,000.

Compressor map reference

°F
Enter a temperature from -60 to 400 °F (-51 to 204 °C).
psi
Enter the absolute reference pressure printed on the map.
°F
Enter a temperature from -60 to 400 °F (-51 to 204 °C).

Compressor maps plot corrected airflow, referred to the inlet pressure and temperature printed on the map. The defaults are the standard atmosphere at sea level (14.70 psi and 59 °F, or 1.01 bar and 15 °C). Replace them with the values on your map.

This is arithmetic from the numbers and assumptions you entered. It does not pick or recommend a turbocharger. Check any turbo against its own map and the maker's data.

Points for a compressor map

Engine at full boost, by rpmAirflow for the target power

Power at each airflow uses the same BSFC and air-fuel ratio as the target. Plot each row at its corrected airflow and pressure ratio on the map you are checking.

What the inputs mean

  • Target power, air-fuel ratio and BSFC: set how much air the target takes. BSFC (brake specific fuel consumption) is pounds of fuel per horsepower per hour. The defaults, 12.0:1 and 0.60, are assumptions, not measurements.
  • Boost, altitude and pressure lost: set the pressure ratio the compressor must make. Outside pressure comes from the standard atmosphere.
  • Displacement, VE, manifold temperature and rpm range: set how much air the engine actually moves at that boost.
  • Map reference: corrects the airflow to the conditions your compressor map is drawn for.

The formulas

airflow (lb/min) = hp × BSFC × AFR ÷ 60 pressure ratio = (boost + pressure lost + outside) ÷ outside density (lb/ft³) = psia × 144 ÷ (53.35 × (°F + 459.67)) engine airflow = CID ÷ 1728 × rpm ÷ 2 × VE × density corrected flow = airflow × √(T inlet ÷ T ref) ÷ (p inlet ÷ p ref)

53.35 ft-lbf/(lb °R) is the gas constant of air, the same as 287.05 J/(kg K) in metric. Temperatures in the correction are absolute.

Worked example

250 hp target, 12.0:1, BSFC 0.60: 250 × 0.60 × 12.0 ÷ 60 = 30.0 lb/min (0.227 kg/s).

20 psi at sea level, no pressure lost: (20 + 14.70) ÷ 14.70 = 2.36 pressure ratio.

A 2.0 L engine at 90% VE with 120 °F in the manifold: density 34.70 × 144 ÷ (53.35 × 579.67) = 0.1616 lb/ft³. At 6,500 rpm it moves 33.4 lb/min, about 278 hp by the same assumptions. At 5,500 rpm it moves 28.2 lb/min and at 6,000 rpm 30.8 lb/min, so it reaches the 30.0 lb/min target between the two. With the map reference at 59 °F and 14.70 psi, corrected and actual flow are the same at sea level.

How to read a compressor map

The horizontal axis is corrected airflow, in lb/min or kg/s. The vertical axis is pressure ratio. The line on the left edge is the surge line: to its left the flow is unstable. The right edge is where the compressor runs out of flow (choke). The closed loops are efficiency islands, and the curves across the map are shaft speed lines. Plot every row of the table. Points to the left of the surge line or beyond the right edge of the map are outside what that map covers. The map itself tells you the rest; this page does not rate any compressor.

Altitude moves the points: at 5,000 ft the outside pressure is 12.23 psi, so 20 psi of boost is a 2.64 ratio, and 30 lb/min corrects to 36.1 lb/min.

Related calculators

Work out the static ratio first with the compression ratio calculator, and the pressure ratio of a boosted engine with the boost calculator. The engine set also covers dynamic compression, rod ratio, volumetric efficiency and BMEP.

Questions

How much airflow do I need for my horsepower?

Multiply horsepower by BSFC and air-fuel ratio and divide by 60. With the assumptions 0.60 and 12.0:1 that is 0.12 lb/min per hp, so 250 hp needs 30.0 lb/min.

How do I calculate compressor pressure ratio?

Add the boost, any pressure lost in the intercooler and piping, and the outside pressure, then divide by the outside pressure. 20 psi at sea level is (20 + 14.70) ÷ 14.70 = 2.36.

What is corrected airflow on a compressor map?

The airflow referred to the map's reference inlet pressure and temperature, so one map works in any weather. Hotter or thinner inlet air raises it: 30 lb/min at 5,000 ft with 59 °F air is 36.1 lb/min corrected to 14.70 psi and 59 °F.

Does intercooler pressure drop change the pressure ratio?

Yes. The compressor has to make the lost pressure on top of the boost you see in the manifold. With 2 psi lost, 20 psi at sea level needs a 2.50 ratio instead of 2.36.

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