A boost pressure calculator built for anyone tuning or planning a turbocharged or supercharged engine. Whether you are reading a boost gauge, sizing a turbocharger on a compressor map, estimating charge-air temperature before specifying an intercooler, or checking whether your injectors have enough headroom at peak power, this tool covers all five calculations in one place — with no unit conversion fuss and nothing uploaded to a server.
How it works
Pressure ratio from gauge boost
The foundational conversion is simple but easy to get wrong:
MAP = P_ambient + P_gauge
PR = MAP / P_ambient
Boost gauges read gauge pressure — the excess above whatever the local atmospheric pressure is. Manifold absolute pressure (MAP) is what the engine actually sees. Pressure ratio (PR) is the dimensionless figure that appears on compressor maps and determines how hard a compressor is working. Two engines running 15 psi gauge boost at different altitudes have different PRs and different power outputs.
Standard sea-level ambient is 14.696 psi (1.01325 bar / 101.325 kPa). At 1,500 m altitude ambient drops to roughly 84.5 kPa — so the same gauge reading produces a meaningfully lower PR and less power.
Charge-air temperature and density
Compressing air heats it. The isentropic (ideal frictionless) temperature rise is:
T₂_isen = T₁ × PR^((γ−1)/γ)
where γ ≈ 1.4 for air and temperatures are in Kelvin. Real compressors are 65–80 % isentropic efficient, so the actual outlet temperature is:
T₂_real = T₁ + (T₂_isen − T₁) / η_c
Because power depends on mass flow, not volume flow, the useful metric is density ratio:
ρ_ratio = PR × (T_ambient / T_outlet)
A good intercooler drops T_outlet back toward ambient, recovering density. This tool lets you enter a measured manifold temperature to compute the post-intercooler density ratio — the real multiplier on naturally-aspirated power.
Injector duty cycle
Once you have the density ratio you can estimate fuel demand:
Air mass (g/min) = displacement × air_density × VE × RPM/2
Fuel mass = air_mass / AFR
Duty cycle (%) = (fuel_per_injector / injector_size) × 100
Standard air density at 25 °C is 1.2041 g/L; the calculator scales this by the density ratio at your manifold conditions. Keep duty cycle under 80 % for reliable fuelling.
Worked example
A 2.0-litre turbocharged engine at sea level (14.696 psi ambient, 25 °C ambient) running 18 psi gauge boost with a 75 % efficient compressor:
- MAP = 14.696 + 18 = 32.7 psi absolute (2.253 bar)
- Pressure ratio = 32.7 / 14.696 = 2.22
- Isentropic post-compressor temp: 298 K × 2.22^(0.286) = 382 K (109 °C)
- Real temp at 75 % efficiency: 298 + (382 − 298) / 0.75 = 410 K (137 °C)
- Density ratio before IC: 2.22 × (298 / 410) = 1.61 — 61 % more air than naturally aspirated
- After a quality intercooler dropping charge to 45 °C (318 K): density ratio = 2.22 × (298/318) = 2.08 — 108 % more air
With 550 cc/min injectors ×4, 95 % VE and a target AFR of 11.8 at 6,500 RPM, duty cycle works out to approximately 67 % — safely within the 80 % limit.
Formula reference
| Formula | Meaning |
|---|---|
| MAP = P_amb + P_gauge | Manifold absolute pressure |
| PR = MAP / P_amb | Pressure ratio |
| T₂_isen = T₁ × PR^((γ−1)/γ) | Isentropic outlet temperature |
| T₂_real = T₁ + (T₂_isen − T₁) / η_c | Real outlet temperature |
| ρ_ratio = PR × (T_amb / T_out) | Charge-air density ratio |
| DC = (fuel_req / inj_size) × 100 | Injector duty cycle (%) |
All pressures must be absolute when computing PR. The calculator handles the ambient offset automatically regardless of which unit system you choose.