Fuel Pumps 101
Like fuel injectors, fuel pumps have a rated flow at a certain PSI. For example, a 255L/hr pump is rated at 255 L/hr with a pressure drop of 40 PSI between the inlet and the outlet. Now, in most cases the inlet pressure is 0 psi, or atmospheric pressure, but in some cases it's higher. Like when you add a T-Rex inline pump. Now your stock pump pumps to the T-Rex and the T-Rex pumps to the motor. The pressure at the inlet of the T-Rex should be higher than atmospheric since you have your intake pump pushing into it.
Like fuel injectors the flow rate of a pump changes based on the pressure drop across the pump. It even follows the same equation, the rated flow times the square root of the pressure at rated the rated flow divided by actual pressure.
But, unlike a fuel injector, whose flow increases when you raise the pressure drop across it, a fuel pump loses flow when you run more pressure. An easy way to understand this is the following example;
The faucet in your sink is turned off. There is pressure at the other side, but now no water comes out, there is no flow. As you turn the faucet on slowing, the flow increases, but the pressure drops across the valve in the faucet drops. At full on, there is probably the same pressure on both sides of the valve in the faucet, meaning no pressure drop, but it's flowing a bunch of water.
Now, remember how the fuel pressure regulator keeps the pressure drop across the injector constant to 39.5 psi? (Even in a returnless car the same thing happens, it's just done electronically). Well, if you have 10# of boost in the manifold, and a 40-psi pressure drop across the injector the rail pressure is 40+10 or 50 PSI. This is where rail pressure is important. That means the fuel pump is now pumping into 50 PSI rather than 40 psi. And since the pressure rise across the pump is greater, it's flow rate drops. Follow the math;
You have a 255 L/hr pump that's rated at 40 psi. You have a blower with 10# of boost so rail pressure is 50 psi. What is the new fuel pump flow rate? You take the pressure at which the flow is rated, 40 psi; divide this by your base fuel pressure, 39.5 psi, plus the amount of boost you are running, 10#. This is 40/(39.5+10) or value of .81. You then take the square root of this and multiply it by the rated flow. So the square root of .81 is .9 times 255 for a new fuel pump flow of 255 times .9 or 229 L/hr. So, with 10# of boost your 255 L/hr pump is really only a 229 L/hr pump.
Let's go a step further, remember in the fuel injector example about running 30# injectors up to 55 psi to make them 35.4 # injectors? Let's say that car is running 10# of boost also. Now you take 40/(55+10) which equals .615, now take the square root of this to get .78 and then multiply this by 255 to get a new fuel pump flow rate of 200 L/hr.
Now lets translate this fuel pump flow into HP. To get from L/hr to # of fuel per hour, assuming a density of gasoline of .76g/cc, you would multiply L/hr by 1.2733 to get #/hr of fuel. While I could show the math as to how I got the 1.2733, I don't know if anyone is interested.
So, the same equation of fuel flow to HP is true as in the fuel injector example. You take #/hr of fuel delivered and divide it by the BSFC (Brake Specific Fuel Consumption) of the engine.
Going to the first example of a 255 L/hr pump blowing into 10# of boost reducing it's flow to 229 L/hr. How much HP will this pump support? You'd take the 229 times the 1.273 to get a total fuel delivered of 292#/hr. You take this number and divide it by the BSFC of .6 to get a HP of 486 HP that this setup will support.
Here is another example; Let's say you have a '03 Cobra running 20 psi of boost. The factory pumps are rated at 155 L/hr each and there are two of them. So, total pump flow of 310 L/hr. If you take 40/(39.5+20) you get .6722, then take the square root of this to get .82 and multiply this by pump flow rate of 310 L/hr to get a new pump flow rate of 254 L/hr. This is about 324#/hr of fuel and with a BSFC of .6 it will support a HP of 539 at the crankshaft. I will post data in a post late tonight or tomorrow, (data, not opinion, or my cousins neighbors car did this) that show a stock '03 Cobra pump and tank (no boost a pump) losing fuel pressure above 500 RWHP. I will also show this same car with a boost a pump and how that impacts fuel pressure.
Next example. You have a T-Rex inline pump. This pump is actually only a 190L/hr pump. And you have your stock intake pump of 110 L/hr. With 10# of boost how much flow is in your fuel system…
For the most part, the answer is, you don't know unless you measure the pressure between the two fuel pumps. I have measured this pressure, and you'll have to trust me on what that pressure is.
In a 350 RWHP car, with a stock intake pump and a T-Rex, there was 20 psi between the two pumps. So, now you take 40/(20+10) to get 1.333. Now I used 20 instead of 39.5 psi because the actual pressure drop across the pump is 20 psi, not 39.5. The square root of 1.333 is 1.155 and then this multiplied by the flow of 190L/hr is 219 L/hr. This is a total of 279#/hr of fuel delivered and with a BSFC of .6, it would support a HP of about 466 at the crankshaft.
This info is important to know. You need to understand that the more pressure you run, the lower the fuel pump output is.