KingNothing said:
Air planes fly because they accelerate air downwards, force equal mass times acceleration. It's complicated because as distance from the wing increases, the higher the volume of air affected, but the lower the acceleration. Airplanes also suffer from drag because they accelerate air forwards, just like a bus or a car on a highway (this is easy to seen when a vehicle's draft causes leaves or paper to follow along behind).
How wings cause the air to accelerate downwards is where it get tricky, but one thing is common to all wings producing lift, an effective angle of attack that results in downwards acceleration of air. Most typical wings draw more air downwards from above the wing than push it from below. The classic curved top, flat bottom wing is often used as an example, but sometimes in a misleading way, so I offer this link to a photo of a lifting body glider with a flat top and curved bottom that glides just fine.
lifting body.jpg
Air foils can get tricky, but note that a flat board will provide lift, for example, small solid balsa model gliders. Efficient air foils are curved both above and below, depending on the intended speed. For aerobatic aircraft, symmetrical airfoils are used so inverted flight uses the same angle of attack as right side up flight.
My response to the "Euler equations" thread linked to from above:
marcusl said:
Hmm. Airplane designers go to great lengths to eliminate turbulence over wings. Laminar flow is everything. Turbulence reduces lift and increases drag.
My understanding, based on article from various air foil designers, mostly for Radio Control and full scale gliders is that laminar flow separates from a wing at much lower angles of attack than turbulent flow. The smaller contest "hand launched" (discus throw methos) radio control gliders with 1.5 meter wingspans use turbulators (strips placed slightly behind and above the leading edge of wings) to break up laminar flow.
marcusl said:
Air moving around a classic asymmetric airfoil (flat on bottom, rounded on top) must traverse a greater distance on top than that on bottom in a given time, even at zero angle of attack, so its speed is higher on top compared to bottom.
Air moving around the top of a flat board will move faster if there's an angle of attack. Also that flat bottom wing has an effective angle of attack if it's produding lift. Then there this, a link to a picture of a lifting body, flat top, curved bottom, and it glides just fine:
flat top curved bottom lifting body.jpg
marcusl said:
A vacuum would result if they don't match up, which would be filled in a chaotic way.
A wing is designed to produce a partial vacuum. This is why the air is accelerated downwards, to flow into the low pressure area created above a typical wing (except for that lifting body case I mentioned).
vivesdn said:
The Bernouilli equation is based on the energy conservation principle.
Except that an aircraft peforms work on the air, so the total energy is changed. An aircraft in level flight will accelerate the air mostly downwards, producing a reactive lift force, and accelerate the air a bit forwards, producing a reactive drag force. This acceleration of air changes it's total engery, and reflect a net amount of work done on the air.