http://www.tvbf.org/archives/velocity/msg02818.html
The pressure we have to work with is
limited to the dynamic head. And if
air isn't treated right in the
ducting it will form back eddies and pressure
waves, and find lots of ways to
give you less flow than you calculate from
your intake area. Core
thickness can be traded for x-sectional area only if
the ducting is designed
to get the air slowed and through it.
http://www.vansaircraft.com/pdf/hp_limts.pdf
Because the airspeed indicator is The Gauge
That
Lies. Despite its name, an airspeed indicator
does not
measure speed. It measures "q" – dynamic
pressure
caused by packing air molecules into a
tube.
http://duxford.iwm.org.uk/upload/pdf/Instrumentation.pdf
Airspeed
The airspeed is directly related to dynamic
pressure. To find out what the Dynamic
Pressure is, Static Pressure (the pressure of
the air surrounding the aircraft) is
subtracted from the Total Pressure, which is
the force of the air impacting with the
aircraft (this is measured using a pitot tube
which protrudes from the aircraft to meet
the oncoming airflow directly).
So it would seem to me for
apples and apples you would want to compare your cooling at different altitudes
at the same dynamic pressure (or IAS) in order to isolate the effects of ambient
temperature on cooling. But, then I've been wrong before
{:>)
Ed A
Ed,
Q is indeed Q at any altitude and speed, which
makes it very handy for structural calculations. Using Q allows you to
eliminate speed, density, and temperature variables from your
calculation. That is fine for structural loads and normal speeds and altitudes.
The space shuttle sees very little Q on early re-entry, but I don't think you
want to hang a radiator out there!
Q is not fine for thermodynamic
calculations. What is important here is how fast you are actually traveling
through the fluid. In the jet world all calculations are based on To which is
the stagnation temperature that you get if you decelerate a molecule
adiabatically to rest from free stream velocity. Stagnation temp is what you are
after, not pressure. Q is stagnation pressure, but it tells you nothing about
temperature or density. It is only a pressure which could be at any arbitrary
speed, density, or temperature combination. High altitude: Very high speed, high
temp, and low density give the same Q as Low altitude: Low speed, low temp, high
density. We don't have to worry so much with compressibility and stagnation temp
at our speeds, but we still need TAS to calculate inlet efficiencies and
sizes. We cannot just throw out speed, temperature and density since
they are intimately related to what we need to calculate.
TAS is free stream or Vo. What goes through your
inlet gives you Vi/Vo or Vinlet/Vfree stream. typically .6-1 depending on what
you are doing on the other side of the inlet.
If the inlet is perfectly sized to the task, the
capture area will ingest the proper amount of mass flow at Vo (TAS) for CpDt to
carry away our cooling load WITHOUT DIFFUSION. The
inlet is an inlet and nothing more. Now that you have the air in the
airplane you use a diffuser to slow it down and raise the
pressure in a controlled manner to the point that it will cancel the pressure
drop in your heat exchanger (or better yet overcome your exit nozzle). As the
air flows through it picks up heat and expands a little. If your cooler is
the proper size and relatively efficient your pressure on the back side of the
cooler will still be greater than ambient and you can accelerate
the cooling air in a nozzle to Po (ambient pressure) If you did
good you will get close to Vo. If you did real good you will get Vo+ a
little. This is where the thin vs thick radiator argument comes in.
Theoretically if you slow the air way down and recover all the dynamic
pressure and pass the air ever so slowly and delicately through a
Mac truck sized radiator that is 1/4 inch thick you will get very
little pressure drop (low turbulence) in the cooler and all the
stagnation pressure will be available (plus a little from heat
addition) to squirt out through the exhaust nozzle. Your airplane will also look like the Goodyear blimp to accommodate
the radiator and diffuser. In the real world there must be a compromise.
We are not traveling at jet speeds or even P51
mustang speeds, and this jet effect is not as pronounced. Everybody who is
trying to use this and exhaust augmentation to gain thrust is wasting their
time. We do not have enough heat being rejected or enough dynamic pressure to
make any appreciable thrust. It is doubtful that even the P51 made any thrust at
cruise. Maybe at max manifold pressure and war emergency power at top
speed it made a little at some altitudes.
Attached is a graph of what would happen if you
did this perfectly and used all the waste heat of a 13b including the
exhaust heat. Not too encouraging. The weight and size of the hardware to even
get close to this would more than offset the miniscule gains.
Does this mean that all use of an augmenter is
daft? No. If you use it to cool in climb and on the ground so that you can get
away with a smaller cooling system, then that is OK, just don't think you are
going to make a wankle-jet out of the thing.
I think I sent a copy accidentally before I was
done. Sorry, stupid mouse slipped off the save and hit the send.
Tried to make it a little clearer than mud, not
sure I succeeded. Hard to cram thermo one, two, and propulsion into a few
email paragraphs.
Monty