JLL said:
If the fuel temp does not increase much from the pump then where does the heat go? raising the fuel pressure a couple thousand PSI is a lot of work. The fuel is HOT. This is the reason extra fuel is pumped through the pump and returned to the tank. The tank actuall gets warm on longer drives.
Energy has various forms, potential, kenetic, thermal, pressure, chemical etc.
In the pump you are adding energy to the fluid (fuel) by increasing it's pressure, it now has more potential energy than it did before. When the pressurized fluid leaks out the clearances in the pump/injector, all of that potential energy that was added by the pump gets turned into heat due to friction in the fluid - there was no work done (applying a force over a distance for example). The temperature of the fuel does rise
some due to the fact that it is compressible (same reason that the cylinder temp increases on the compression stroke - air is MUCH more compressible than fuel), but it's only a few degrees.
So in summary, we took fuel with a certian ammount of energy from the fuel tank, added energy to it in the injection pump in the form of pressure, used a percentage (most) of that energy added by the injection pump to accelerate the fuel through the nozzles in the injectors (trading pressure energy for kenetic energy here) atomizing it into a fine mist which self combusts (releasing it's chemical energy) due to the increased temeprature in the cylinder (the energy to raise the temperature in the cylinder came from an earlier combustion cycle either in expansion work from another cylinders combustion event or kenetic energy stored in the rotating assembly in the case of a single cylinder engine) which creates heat which causes the combustion gasses to expand and drive the piston down (finally doing some
work by applying a force over a distance) which is translated into rotational work via the connecting rod and crank shaft which rotates with a given ammount of torque that is used to turn the driveline and accessories (such as the injection pump for example
). Whew...now, how fast all of this happens is power (work/time), and how long you do it is energy (power*time). Back to the energy added to the fuel in the injection pump...what didn't go into accelerating the fuel through the nozzles is leakage in the pump and injectors (and mechanical friction in the injection pump, which also ends up as "heat"). This fuel that leaked had energy added to it to bring it up to pressure, but it didn't do any work. This energy was converted into "heat" due to the friction in the fluid (viscosity) as it goes to a lower pressure through the clearances in the pump and injector. This is what makes the fuel in the fuel tank warm up. 1 degree F per ~140 psi, so a 3000 psi injection system should raise the temp by ~21.4F, a 30,000 psi injection system would raise the temperature by ~214F. The extra fuel circulated by the transfer pump in the injection pump is used to dilute this hot fuel with cooler fuel from the tank (which acts as a heat exchanger of sorts).
Sorry this got long - does this help?