Olas said:
I guess what I am asking, is if anyone knows the math on what RPM, per a specific compressor wheel, would be required to create enough air flow in order to lift an rc craft that maybe weighs 8 or 10 lbs and how much power it would need. I am not trying to make boost pressure with them, just enough air flow for lift.
i think you have a couple separate things to calculate
how much air do you need to move through your compressor
and to what pressure should you raise it before handing it to your exhaust nozzle...?
Clearly you'll want at least 8 pounds of thrust to hover
and here's an introduction to thrust
https://www.grc.nasa.gov/www/k-12/airplane/thrsteq.html
since you're adding no fuel your exit and inlet mass flow (m'
e and m'
0) are the same
so you'll raise pressure then expand it through a nozzle back to atmospheric pressure but it'll leave with greater velocity.
Now here's a painless way to understand thrust with hardly any math
it is a thought experiment:
consider a very un-streamlined rocket , one that's a perfect cube.
It has some internal pressure P psi(provided by your centrifugal pump)
and one un-streamlined nozzle - in fact so un-streamlined it's just a hole in the bottom.
You can get a rough estimate of the thrust you'll make by choosing internal pressure and nozzle area
a 2 inch diameter nozzle would have area pi square inches
and to make 8 pounds thrust would take, lessee here Force = Pressure X Area
so Pressure = Force/Area
and 8 pounds of force divided by pi square inches = about 2.5 psi.
So the question then becomes how much air will 2.5psi push through a 2 inch orifice?
Bernoulli's equation will let you estimate velocity increase due to a given pressure drop,
but be aware it's only approximate because the air is compressible so an exact answer takes more calculation than this simple presentation at
http://hyperphysics.phy-astr.gsu.edu/hbase/pber.html
Density of air is so small you'll get surprising velocities with that much pressure.
From velocity and area you know volumetric flow rate
multiply that by density and you know mass flow rate
and the power your pump has to supply is one half second's mass flow X velocity
^2
I suppose one could derive a one-step formula or try one from a book
but i think it's better to figure things put from the basics...
old jim