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. It involves density, which
involves Temp and pressure. So using Q alows you to eleminate these variables
from your calculation. That is fine for structural loads.
It 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 bassed on To which is the stagnation
temperature that you get if you decellerate a molecule adiabaticly to rest from
free stream velocity. We don't have to worry so much with compressibility and
stagnation temp at our speeds, but we still have to have the TAS to calculate
inlet efficiencies and sizes. We cannot just throw out density (pressure and
temperature) since they are intimitely related to what we need to do
here.
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. 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 accellerate 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 argument comes
in. Theoretically if you slow the air way down and recover all the dynamic
pressure and pass it ever so slowly through a Mac truck sized radiator that
is 1/4 inch thick you will get very little pressure drop in the cooler
and all the stagnation pressure will all be available (plus
a little from heat addition) to squirt out through the exhaust
nozzle.