Bernoulli-induced errors in altimeters

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Discussion Overview

The discussion revolves around the effects of air velocity changes, particularly due to gusts and updrafts, on the accuracy of altimeter readings in aircraft. Participants explore the relationship between pressure and altitude in the context of Bernoulli's principle and the potential errors introduced by dynamic airflows.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions whether velocity changes in air can produce Bernoulli effects that impact displayed altitude readings, seeking to understand the practical implications of such effects.
  • Another participant explains that static ports are designed to minimize the impact of airflow on pressure readings, but acknowledges that gusts can affect readings momentarily.
  • A different viewpoint suggests that while there are artifacts from airflow interactions with instruments, the core question is about the relationship between pressure and altitude, particularly under dynamic conditions.
  • One participant raises a scenario comparing two balloons at the same altitude, questioning if their altimeters would show different pressures due to movement through air, and whether this interpretation aligns with Bernoulli's principle.
  • Another participant expresses skepticism about how altimeters account for weather variations, noting that they typically require calibration based on atmospheric pressure information.
  • A participant asserts that the interpretation of pressure differences between still and moving air is incorrect, stating that static pressures remain equal regardless of air movement.
  • One participant provides a mathematical estimate of the pressure difference caused by wind, suggesting that while noticeable, the effects are relatively small unless in extreme conditions like the jet stream.

Areas of Agreement / Disagreement

Participants express differing views on the application of Bernoulli's principle to altimeter readings and the extent to which dynamic airflows affect pressure measurements. There is no consensus on how altimeters compensate for atmospheric conditions or the implications of airflow on altitude readings.

Contextual Notes

Some assumptions about the behavior of static ports and the effects of wind on pressure readings remain unresolved. The discussion highlights the complexity of interpreting pressure measurements in dynamic environments.

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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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).
 
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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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.
 
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.
 
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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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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