scotty c said:
so much for a "reasonable analytical answer".
Yep, that's what I said
billy_joule said:
I don't think your initial question has a reasonable analytical answer.
scotty c said:
most of what he says is fantastic but then every now and then he just blows something like his claim of zero power at zero flow.
Yes, that's the simple answer for an ideal fan. There's no flow so no work is done on the air so no power is consumed.
Fan Power = Change in pressure * volumetric flow rate
http://www.engineeringtoolbox.com/fans-efficiency-power-consumption-d_197.html
scotty c said:
sorry, forgot to answer this. in the case of the vacuum. let's see. the motor is set up to run at a particular power. the fan speeds up until that power is still being utilized. so fan load remains the same.
this vacuum plugged analogy just isn't right though. the vw fan isn't going to speed up when it's flow is stopped.
It's not perfect but it clearly shows that blocking the flow path reduces the required shaft torque
In the case of the vacuum, the reduction in torque load will lead to an increase in RPM to maintain about the same power level, in the case of the VW, where RPM is fixed by the idle air control valve, reducing the torque load will result in a proportional reduction in power consumption via
P = Tω (Power = Torque * rotational velocity)
That is, your air control valve will close a tiny amount as less air will be required to maintain the idle RPM.
You could set up a simple experiment on your VW, disconnect your idle air valve, turn off all auxiliaries, open and close the fan flaps and note the change in RPM due to the change in load. Now, try to replicate that RPM change with a known, measurable load, this may involve switching your headlights (or on and measuring the current flow, which, along with alternator efficiency will give you the torque load. Or maybe have the car in gear, on blocks, measure brake line pressure required for the RPM change, calc brake torque load from that etc There's probably better ways, I don't know much about cars.