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Milt 3rd Sep 2017 03:50

Increasig Atmospheric Pressure
 
Has anyone calculated the extent of the rise in average sea level atmospheric pressure caused by the combined weight of all aircraft flying?

pattern_is_full 3rd Sep 2017 05:40

I'm not sure aircraft weight in flight increases atmospheric pressure (weight) on the ground. But using the analogy of the weight of people in a building increasing the pressure the total building + people puts on the ground...

1) Only aircraft in flight at a given instant count. That would be on the order of 10000 aircraft at any one instant. Could range from 8000 to 12000 depending on time of day (and where "day" is at any instant - U.S.? EU/Africa? Asia?).

2) Weight of those aircraft - C150 to A380? Let's take the 739ER as a reasonable average: MTOW = 71350 kg

x 10000 = 713500000 kg or 7.135 x 10ˆ8 kg

3) Weight of the atmosphere = 5.1 x 10ˆ18 kg

4) aircraft weight adds a bit over one 10-billionth (or ten 1000-millionths) to the total.

5) In millibars, average atmospheric pressure with no planes flying = 1013.25 millibars

- with planes included: 1013.25000017418 millibars

A microscopic difference, in other words....

(Assumptions and math open to criticism).

overstress 3rd Sep 2017 16:37

I'll pass this one on to my sister-in-law who interviews physics candidates for a well-known university. :E

Thinks: surely the atmosphere just expands a bit, there is no lid on it, after all?

Chu Chu 3rd Sep 2017 16:46

I'm pretty sure the atmosphere's already big enough to hold the aircraft when it's sitting at the gate.

PDR1 3rd Sep 2017 16:56

Mean density rises, but I'm not sure that pressure does = I'll have to think about it!

B2N2 3rd Sep 2017 16:59

Why would an aircraft add to the weight of the atmosphere as it's developing lift and and not actually resting or sliding along an area of air excerting pressure on it?

How much do mid to high altitude clouds add to the pressure on the ground?

overstress 3rd Sep 2017 17:00


I'm pretty sure the atmosphere's already big enough to hold the aircraft when it's sitting at the gate.
It is, but it's not supporting it at that point.

edit: just thought about that again, I've written rubbish. I think.

Vessbot 3rd Sep 2017 17:35


Originally Posted by B2N2 (Post 9881358)
Why would an aircraft add to the weight of the atmosphere as it's developing lift and and not actually resting or sliding along an area of air excerting pressure on it?

As the aircraft develops lift, it exerts a force downward on the airmass equal to its weight. So it is "actually resting or sliding along an area of air excerting pressure on it."

But the atmosphere under the aircraft is not sealed on the side, so it escapes sideward and upward until it reaches equilibrium.

pattern_is_full 4th Sep 2017 00:04

Some points:

- If the atmosphere expands in radius, the air column above any given square meter or centimeter of the earth's surface gets taller and thus weighs more = higher pressure at sea level.

- for aircraft not flying, their weight is supported directly by the ground - and would be, even in a vacuum. Not a factor in this thought-experiment about air pressure.

- clouds are equivalent to lighter-than-air balloons. Water vapor and humid air are less dense than dry air. So they float, most of the time.

http://images.slideplayer.com/14/441...s/slide_15.jpg

- don't confuse "volume" with "weight." An unpressurized aircraft is just a tube with equal atmospheric pressure/density inside and outside the thin skin. A pressurized aircraft has higher air density inside, and thus a slightly higher weight - but I left that out as being an even less significant effect than the total aircraft weight(s), which are already insignificant.

The atmosphere is really big - all the aircraft flying are just bacteria by comparison:

https://pix-media.priceonomics-media...ash_plane.jpeg

- I'd like to hear from overstress's sister-in-law, too. ;)

megan 4th Sep 2017 05:11

This is an extension of the question if a cargo load of birds take to the wing would a flying aircraft weigh less, or no change.


In this month's edition of NTVN, the Physics Journal for members of the Dutch Society of Physicists, atmospheric scientist Peter Siegmund and geophysicist Laslo Evers report on such measurements. Using an array of microbarometers laid out at surface, they obtained transient pressure readings from flying airplanes in line with the Kutta-Zhukowsky description of flight. They managed not only to detect airplanes and determine their position, the measurements even allowed them to weigh the airplanes in full flight
How Airplanes Fly - The Real Story (With Experimental Verification!) | Science 2.0

You could request a copy of the scientific paper here, probably cost.

https://www.nnv.nl/en/english-home/

Derfred 4th Sep 2017 07:40

What a fascinating question.

I like to think about it this way. The atmosphere exerts a certain force on the surface of the earth. That force is caused by gravity pulling on the mass of the atmosphere. This is known as the weight of the atmosphere. It is this weight that causes sea-level atmospheric pressure to be what it is.

If you picture an aircraft sitting on the ground, the total weight of the atmosphere plus the aircraft will be the same as the total weight of the atmosphere plus the aircraft if the aircraft is airborne. However, in the airborne case, the atmosphere must transfer the weight of the aircraft to the surface rather than the aircraft's wheels. The only way the atmosphere can do this is to increase its MSL pressure slightly.

The bit where I get stuck is that the atmosphere doesn't have a "lid". If you kept pumping air into the atmosphere (from a hypothetical worm-hole), I don't think it would increase the atmospheric sea-level pressure. The excess air just escapes out the top into space.

It that is true, does getting an aircraft airborne actually increase MSL pressure, or does it just displace some air out the top into space?

Goldenrivett 4th Sep 2017 08:08


The bit where I get stuck is that the atmosphere doesn't have a "lid"
True. But the atmosphere remains attached to the planet due to gravity. If your "worm hole" supplied sufficient air to double the mass of atmosphere here already, then the sea level pressure would double.

In old money, sea level pressure of 15 lbs per square inch is due to a column of air weighing 15 lbs over every square inch of the earth.

Derfred 4th Sep 2017 11:25

GR, you are correct. I was mistakenly under the belief that Earths atmospheric volume was limited by the escape velocity of atmospheric molecules. In fact, on Earth, this only happens to Helium and Hydrogen. Earth is capable of supporting a much larger and denser atmosphere. I have just learned something.

So yes, I believe MSL pressure is increased proportionally by the weight of all airborne aircraft (and birds) :)

As an aside, I believe the water pressure at the bottom of the ocean also increases for every floating vessel, but in this case it is not proportional to the weight of the vessel, because the ocean walls are not vertical.

Cazalet33 4th Sep 2017 12:05

Doesn't it depend whether the conveyor belt is in service?

Doesn't it also depend whether a lorry full of budgerigars startles the birds into flight and off their load-bearing perches?

We need to know these things. We also need to let the kiddies have the wanted answer in the ATPL question bank of their preferred crammer for slow learners.

Chu Chu 4th Sep 2017 12:09

As an extension of the nautical analogy, imagine a toy submarine at neutral buoyancy circling, submerged, in a bucket of water on a scale. Now replace some of the air inside the submarine with lead, but set the dive planes so it continues to circle at the same level.

The reading on the scale has to increase by the amount of lead added, but the water level in the bucket won't change. The answer seems to be that the hydrodynamic effects of the dive planes increase the dynamic pressure at the bottom of the bucket. I'd guess that the same is true for an aircraft flying in the atmosphere, even though the effect would be too small to measure.

I assume the effect would be localized as well -- after all, atmospheric pressure isn't the same everywhere to start with. Imagine a helicopter hovering above a set of truck scales.

BluSdUp 4th Sep 2017 14:36

Rain
 
A storm drops 100cm of rain over 1000 square km .
No NET water vapor is added or subtracted anywhere else, for arguments sake.:
Pressure must drop, due to mass of atmosphere ( rain ) resting on ground.

chornedsnorkack 12th Sep 2017 17:14


Originally Posted by Derfred (Post 9881808)
What a fascinating question.

I like to think about it this way. The atmosphere exerts a certain force on the surface of the earth. That force is caused by gravity pulling on the mass of the atmosphere. This is known as the weight of the atmosphere. It is this weight that causes sea-level atmospheric pressure to be what it is.

Not exactly.
Consider a water bottle with broad bottom and tall neck, which is full of water.
The water pressure on the bottom is high, and over the wide bottom sums out to a large force. Yet the weight of the water column in the tall but narrow neck does not sum up to so much.
The matter is that the water also exerts pressure on the upper part of the bottle, below the neck. That force is applied down to the water, and transferred to the bottom.
Likewise, if there is something pressing on air from above, such as a landed plane taking up volume from atmosphere but resting on wheels, thatīs extra air pressure which need not be weight of air.

Derfred 13th Sep 2017 03:21

I don't know what you are saying with your water bottle, but if you are suggesting that the landed aircraft adds to atmospheric pressure as does an airborne aircraft, then no, I disagree.

chornedsnorkack 13th Sep 2017 15:16

Adds, but not equally.
Take a cylindrical vessel of water. Drop a stone in it.
Water level will rise due to the volume displaced by stone.
The pressure of the stone on the tiny contact points to the bottom will be the weight of the stone minus the weight of water displaced by the stone.
The pressure of the water on the bottom is the weight of the water actually in the vessel plus the weight of the water displaced by the stone.

Ditto about Earth atmosphere.
Reenter a shuttle into atmosphere so that it is no longer supported by centrifugal force but by aerodynamic force, and the pressure of air will be weight of atmosphere plus weight of shuttle.
Land the shuttle, and the pressure of air will be weight of atmosphere plus weight of air displaced by shuttle.

pattern_is_full 13th Sep 2017 17:30

But no aircraft except spacecraft "enter" the atmosphere - they start out already in the atmosphere, from the moment they start to be assembled in the factory.

...or are you saying that the moment Boeing or Airbus finally seal every new fuselage with the last rivet, the world's air pressure jumps a tiny notch?

And spacecraft of earthly origin must reduce atmospheric pressure slightly when the leave the atmosphere to begine with, so when they reneter, they are simply restoring the original conditions.


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