Bernoulli-induced errors in altimeters

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In summary, the conversation discusses the potential effects of gusting winds on aircraft instruments, specifically altimeters. There may be errors in the pressure measurement due to changes in wind direction and speed, which could result in altitude errors. However, typical altimeters do not compensate for weather and rely on manual calibration. The conversation also addresses the incorrect application of Bernoulli's principle in this scenario. Overall, the effect of gusting winds on altimeters is small unless in extreme weather conditions.
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Swamp Thing
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When an aircraft flies through things like updrafts, downdrafts, horizontal gusts and so on, does the velocity change produce Bernoulli effects that push the displayed altitude up or down wrt the correct altitude? If so, how much of a practical problem is it?

(By velocity change I mean the air velocity, of course, and not the plane's)
 
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  • #2
Normally the static port(s) on an aircraft are located so that the speed of flow across the port does not significantly affect the static pressure sensed by the port(s), located inside the boundary layer(s). A gusting wind with a component of wind perpendicular to a static port would affect the reading. If the gust is momentary, the reading will only be affected momentarily. If there is a change in wind direction, eventually the aircraft will react to a crosswind by changing direction, so that there isn't a crosswind, assuming the aircraft is not being kept in a yawed state (a constant crosswind component).
 
  • #3
Yes, there would be artifacts from how the air flow interacts with the instrument, as you describe. Those would be errors in the pressure measurement which would indirectly translate to altitude errors.

But my question was more about the relation between pressure and altitude, assuming that we can somehow measure the pressure very accurately. Would the dynamics of the gusting wind alter the relation between pressure and altitude to a degree that might matter, considering that fast moving air should have a lower pressure than stationary air at the same altitude and temperature?

For example, consider two balloons that are at the same altitude. One balloon is floating in still air and the other is being carried along in a stream of air. Would their altimeters show different pressures? If so, the pressure on the moving one would be wrongly interpreted as a lower altitude. Or... is this a naive and wrong application of Bernoulli?
 
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  • #4
Although altimeters may self-calibrate based on GPS, I doubt typical altimeters take weather into account. Rather than compare a still versus moving stream of air, consider still air in the middle of a high pressure zone versus still air in the middle of a low pressure zone. I don't know how altimeters compensate for weather.
 
  • #5
rcgldr said:
I don't know how altimeters compensate for weather.
They don't. You have to zero the altimeter just before you take off and then believe what the meteorologists tell you about any changes in atmospheric pressure with time. Any other information like radar and observations of your plane from the ground could help you when you are up there.
 
  • #6
Swamp Thing said:
...considering that fast moving air should have a lower pressure than stationary air...

For example, consider two balloons that are at the same altitude. One balloon is floating in still air and the other is being carried along in a stream of air. Would their altimeters show different pressures? If so, the pressure on the moving one would be wrongly interpreted as a lower altitude. Or... is this a naive and wrong application of Bernoulli?
It's a wrong interpretation of Bernoulli (or rather, this has nothing to do with Bernoulli's principle); the two static pressures are equal.
 
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  • #7
Doing some quick math on this, a 20mph wind has a velocity pressure of 0.4 mm HG, or about 17' of altitude. So the effect of a sudden gust would be enough to notice if the altimeter wasn't damped, but still pretty small unless you're getting up into the jet stream.
 
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1. What are Bernoulli-induced errors in altimeters?

Bernoulli-induced errors in altimeters refer to the inaccuracies that can occur in altitude measurements due to variations in air pressure caused by the Bernoulli effect. This effect is the decrease in air pressure that occurs when air flows faster over a curved surface, such as an airplane wing.

2. How do Bernoulli-induced errors affect altimeter readings?

Bernoulli-induced errors can cause altimeter readings to be higher or lower than the actual altitude, depending on the direction and speed of the aircraft. This can lead to incorrect altitude readings and potential safety hazards.

3. How do altimeters compensate for Bernoulli-induced errors?

Altimeters are designed with correction mechanisms to compensate for Bernoulli-induced errors. This can include a static port, which measures the static pressure of the surrounding air, and a pitot tube, which measures the total pressure of the air. These measurements are then used to calculate the correct altitude.

4. Are there any other factors that can contribute to altimeter errors?

Yes, there are other factors that can contribute to altimeter errors, such as temperature, humidity, and instrument calibration. These factors can also affect air pressure and therefore impact the accuracy of altitude readings.

5. How can pilots minimize the impact of Bernoulli-induced errors?

Pilots can minimize the impact of Bernoulli-induced errors by regularly calibrating their altimeters and using other altitude measuring devices, such as GPS, to cross-check altitude readings. They can also be aware of the potential for errors during takeoff and landing, when airspeed is changing rapidly.

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