What the inputs mean
- Target crank power: the engine power you plan to make, at the crank, not at the wheels.
- Number of injectors: usually one per cylinder. Enter the total if you run a second set.
- BSFC (brake specific fuel consumption): how many pounds of fuel the engine burns per horsepower per hour. It depends on the engine, the fuel and the tune, so it is an assumption you set. Common rules of thumb are 0.45 to 0.50 for a naturally aspirated gasoline engine and 0.60 to 0.65 for a boosted one. E85 needs more fuel, and a common rule is about 30% more than gasoline.
- Max duty cycle: the share of each engine cycle the injector is held open at peak power. Sizing for 80% leaves headroom. This is also an assumption.
- Fuel density: only used to convert pounds per hour into cubic centimetres per minute. Gasoline is roughly 0.72 to 0.77 g/ml; the default is 0.74.
The formula
injector flow (lb/hr) = power × BSFC ÷ (injectors × duty cycle)cc/min = lb/hr × 453.59 ÷ density (g/ml) ÷ 60453.59 is grams per pound, and dividing by 60 turns hours into minutes.
Worked example
A naturally aspirated V8 aimed at 400 hp, 8 injectors, BSFC 0.50 and an 80% duty cycle:
400 × 0.50 = 200 lb/hr of fuel for the whole engine. 200 ÷ (8 × 0.80) = 31.25 lb/hr per injector. At 0.74 g/ml that is 31.25 × 453.59 ÷ 0.74 ÷ 60 = 319 cc/min. At the target power each injector really delivers 25 lb/hr, which is 80% of its rated flow.
Fuel pressure and injector flow
An injector flows more when the fuel pressure across it rises. The usual estimate is that flow scales with the square root of the pressure ratio:
new flow = rated flow × √(new pressure ÷ rated pressure)A 36 lb/hr injector rated at 43.5 psi flows about 36 × √(58 ÷ 43.5) = 41.6 lb/hr at 58 psi. That is 15.5% more, from pressure alone.
The result is maths from the numbers you enter. Before buying injectors, confirm the fuel pump and lines can supply the total flow, and have the engine tuned for the new parts.
Questions
What size injectors do I need for 400 hp?
With 8 injectors, a BSFC of 0.50 and an 80% duty cycle, you need at least 31.25 lb/hr (319 cc/min) per injector. A boosted engine at a BSFC of 0.65 needs 40.6 lb/hr for the same power.
How do I convert lb/hr to cc/min?
Multiply by 453.59, divide by the fuel density in g/ml, then divide by 60. At 0.74 g/ml, 1 lb/hr is about 10.2 cc/min, and 550 cc/min is about 53.8 lb/hr.
Does raising fuel pressure increase injector flow?
Yes, by the square root of the pressure ratio. A 36 lb/hr injector rated at 43.5 psi gives about 41.6 lb/hr at 58 psi, 15.5% more.
What duty cycle should I size injectors for?
80% is the default here because it leaves headroom. It is a sizing assumption, not a limit set by a standard, so change it to whatever margin you want.