Aircraft: velocity + altitude measurement; simply or not?

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SUMMARY

The discussion centers on the measurement of velocity and altitude in aircraft using Bernoulli's principle and static pressure sensors. It is established that when an aircraft accelerates, the static pressure remains approximately constant, assuming no altitude change, while total pressure increases. Properly designed static pressure sensors, such as those mounted on pitot-static tubes, are crucial for accurate altitude measurement, as they mitigate the effects of airflow on static pressure readings. Misalignment of these sensors can lead to erroneous altitude readings, particularly in dynamic flight conditions.

PREREQUISITES
  • Understanding of Bernoulli's principle in fluid dynamics
  • Knowledge of pitot-static tube design and function
  • Familiarity with static and total pressure concepts in aerodynamics
  • Basic principles of aircraft performance and flight dynamics
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  • Research the design and calibration of pitot-static systems in aircraft
  • Study the impact of angle of attack on static pressure measurements
  • Learn about the differences between subsonic and supersonic flow measurements
  • Explore advanced topics in aerodynamics, such as compressibility effects at high speeds
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Aerospace engineers, flight test engineers, and aviation students interested in understanding aircraft performance measurement and the principles of fluid dynamics in aviation.

sqrt_9
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Hi!

I'm breaking my head about the following problem:

Consider an A/C at a certain velocity flying at a certain altitude. The A/C measures it's speed via the difference in total- and static-pressure and applying bernoulli.

Now the aircraft accelerates. What happens?

At this point I get uncertain and look forward to hear your opinions:

- I assume that the measured static pressure drops
--> measured velocity increases (no problem)
--> But: static pressure drops: altitude decreases (big problem!)

The other opportunity would be:

- The total pressure increases
--> The static pressure remains constant & only dynamic pressure increasesEdit: Additional fundamental question:
Does a static pressure sensor see reduced static pressure if a flow is doubled in speed? If yes, this would again mean that the static pressure sensor indicates lower altitude due to higher velocity...

Thanks in advance!
 
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sqrt_9 said:
Does a static pressure sensor see reduced static pressure if a flow is doubled in speed?
Not if it's designed properly. The static pressure port is normally a flush mounted hole perpendicular to the flow of air. It "hides" under a boundary layer and the pressure at the port is the same as the static pressure of the ambient air, regardless of relative speed.
 
As rcgldr said, the static pressure stays approximately constant (assuming no altitude change), and the total pressure increases. This can get somewhat more complicated if you're looking at a supersonic aircraft, but for subsonic flow, you can pretty much just assume that the measured static pressure is independent of airspeed.
 
Okay I understand. And if I had no A/C to "hide" my static pressure port behind in a moving fluid, is there a chance to measure the pressure altitude?

Somehow this always brings me to the total pressure because if I bring the fluid to rest, I know that static pressure recovers to total pressure. Why isn't this true for the total pressure / static pressure we measure?
 
sqrt_9 said:
Okay I understand. And if I had no A/C to "hide" my static pressure port behind in a moving fluid, is there a chance to measure the pressure altitude?
Which is why forward facing pitot / static tubes are used. The static port is an opening on the side of the tube, and this eliminates trying to find a spot on the fuselage that isn't changing the speed or direction of the relative air flow.

sqrt_9 said:
Somehow this always brings me to the total pressure because if I bring the fluid to rest.
The fluid has momentum and a stagnant zone forms at the front of a pitot tube, bringing a portion of the flow to rest. This is called impact or stagnation pressure. At speeds below 1/3rd mach, the simpler formula based dynamic pressure can be used. Wiki article:

http://en.wikipedia.org/wiki/Impact_pressure
 
The pitot-static probe has to be properly aligned with the flow so if you're flying at angle of attack or at sideslip angle you're note measuring something meaningful. And that's there reason why aeroplanes have more than 2 pitot tubes at different positions and angles.

Also, sqrt_9, if your aircraft accelerates it is quite probable that you'll start gaining altitude unless you decrease the angle of attack.
 
Okay, I get that.
So, bernoulli isn't applicable because the static pressure port is out of the streamline. Is that right?

Anyway, thanks for the answers so far!
 
Well, it relates back to the proper alignment of the equipment with the flow direction as well as to which static port is used because you have to use the right one... I have to revise, I don't remember all the details.
 

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