Mailing List flyrotary@lancaironline.net Message #40223
From: Ed Anderson <eanderson@carolina.rr.com>
Subject: Total,duct, Ambient or Velocity????
Date: Wed, 7 Nov 2007 20:23:07 -0500
To: Rotary motors in aircraft <flyrotary@lancaironline.net>
Sometimes when trying to figure out how to improve cooling, some of us (present person excluded) actually take to measurements and gathering hard data, such as temperature and pressure.   I have notice that at times some confusion exists about pressure measurements in particular.   There are three basic pressure measurements we are interested in
 
Total or sometimes referred to as Stagnation pressure (such as measured by a pitot tube) is the sum of the static pressure and the dynamic pressure.  Ptotat = Pstatic + Pdynamic often written
as
 
Pt = Po + 1/2pV^2  Some times dynamic pressure is referred to as velocity pressure as it is due to the kinetic energy of the moving air to the square power.
 
Most folks know all  this, where the problem sometimes occurs is trying to configure a pressure data collection arrangement so as you know as to  what is being measure and what configuration do you need to measure it.
 
I found the attached slide which I thought was very clear.  It show the orientation of the pressure probes (looking into or perpendicular) to the air flow and perhaps just as important - clearly shows the other reference end of the probe.   Note that the reference end of the probe is either ambient static pressure (outside the duct) or duct static pressure (referenced to the static pressure inside the duct). 
 
 So if your "other end" is under your cowl what are you referencing? ambient? probably if your aircraft is not moving but then no dynamic pressure either so its sort of boring. But, in flight it is highly unlikely that the cowl pressure will be ambient.
 
Since the flow through  your duct is driven by the difference between ambient static pressure and dynamic pressure, you really are interested in ambient static reference in most cases.  But, sometimes you might  like to know the total pressure on both sides of your core.  In which case, you would need the total pressure probe configuration with the probe pointing into the air flow on each side of your radiator.  If you just used a static probe or just a dynamic probe you would not get a true picture of the total  pressure gradient across your core. 
 
If on the other hand you want to know how well your diffuser is diffusing (converting air velocity into static pressure increase, you would need a dynamic pressure probe at the exit of your diffuser with its referenced to the duct ( not the ambient) static pressure .  So where you reference can made a significant impact on what you are measuring and how you are interpreting the measurement.
 
 
Referring to the slide.
The  left-most probe  (static pressure) is not orientated into the air flow so therefore  should (theoretically) not measure any dynamic pressure caused by moving air.  Note that it is reference to the ambient (outside) air static pressure.  The far fight sensor is - in contrast - pointed into the airflow where it can bring the moving air to rest thereby converting the kinetic energy of the moving air into a local pressure increase.   Note that this dynamic pressure sensor is referenced to the static pressure INSIDE the duct NOT outside the duct as was the static pressure sensor
 
In the center is a probe configured to measure total pressure.  It measures the dynamic  pressure by pointing into the air flow but is referenced to the outside static pressure. So its pressure is the algebraic sum of the pressure at each end.  We know the ambient pressure is approx. 14.7 psi standard day and depending on the air velocity we have a few tenths of a psi dynamic pressure.
 
So Ptotal = Ps + P dynamic = 14.7 + 0.23 = 14.92 psi for example
 
When air flows through a duct system, the duct static and dynamic pressure components can trade amongst themselves.  Kinetic energy can be transformed into static pressure increases and static pressure differences in the duct will result in air flow.  The total pressure value is a maxim at the duct inlet and will decrease through losses of momentum in the duct flow.  The dynamic pressure at the inlet is the fundamental energy that drives the air flow through the duct.
 
Been slow on the list, so though I would throw this out for consideration.
 
Ed
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