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Re: Absolutely Nothing

By: Cactus Flower in ALEA | Recommend this post (0)
Sat, 21 Jun 14 3:59 AM | 32 view(s)
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Msg. 15678 of 54959
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so absorbing my last post, here's my conclusion.

increased temperature explains why a plane apparently experiences less resistance and hence can go faster (measured in knots) at lower altitudes. i guess the gases in air gain mobility when they are warmer. whereas they are more viscous when they are colder. so the plane can push air aside more easily at low altitudes even though it encounters more of it.

in terms of thrust, i imagine having more air flowing through the jet engine gives the plane relatively more power (net of drag). so my guess is the engines also can make the plane go faster at sea level than up high. on the other hand, maybe the air flow at lower levels also causes engine perturbation and heat. indeed, it is also hotter at sea level. which would explain the lower operating speed limits imposed by the manufacturers. a hotter engine deteriorates more quickly. metal is liable to bend etc.

this would mean the break up speed limit is defined in terms of the aircraft frame. and the operating speed limit is defined in terms of the engine.

okay. that concludes my discussion of aeronautics or is it avionics.


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The above is a reply to the following message:
Re: Absolutely Nothing
By: Cactus Flower
in ALEA
Sat, 21 Jun 14 12:17 AM
Msg. 15677 of 54959

Oh yes. Explanation on Mach numbers. They are created using two variables: temperature and atmospheric composition. They are largely independent of pressure. So the combination of atmosphere and temperature defines resistance.

As a plane rises, the air gets thinner but it also gets colder. The lowering of temperature seems to have a slightly greater effect than the thinning of the atmosphere. So the speed of sound lowers as altitude increases.

The effect of this is that planes reach a particular Mach number at a lower velocity the higher they fly.

"At altitude, for reasons explained, Mach number is a function of temperature. Aircraft flight instruments, however, operate using pressure differential to compute Mach number, not temperature. The assumption is that a particular pressure represents a particular altitude and, therefore, a standard temperature. Aircraft flight instruments need to operate this way because the stagnation pressure sensed by a Pitot tube is dependent on altitude as well as speed.

Assuming air to be an ideal gas, the formula to compute Mach number in a subsonic compressible flow is found from Bernoulli's equation for M < 1 (above):[7]

\mathrm{M} = \sqrt{5\left[\left(\frac{q_c}{p}+1\right)^\frac{2}{7}-1\right]}\,
"

So on the one hand, you have to establish if a plane has the thrust and lift to reach a particular velocity, net of the drag.

And on the other, you have to consider if the frame and the engine can deal with the shock waves at a particular Mach number.

From what I have read, the 767 has the power to reach Mach 0.86. If it was regularly flown at speeds above 0.5 Mach at lower altitudes, there would be wear and tear issues requiring higher maintenance costs. But it would come apart at the seams if flown a bit above Mach 0.86 at any altitude.

I could be wrong. But that is how I read the sources I have read.


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