Bernoulli's Principle Explained: Ball vs Plane Wing

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SUMMARY

Bernoulli's principle states that in a flowing fluid, an increase in velocity occurs simultaneously with a decrease in pressure. This principle is often misapplied when explaining lift in aircraft wings. A more accurate understanding involves Newton's laws of motion, particularly the angle of attack and the Coanda effect, which describe how wings deflect air downward to generate lift. The principle applies under conditions of incompressible, non-viscous, and steady-state flow.

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Can someone explain to me Bernoulli's principle as simply as possible? Would this principle would be the same when applied to a ball as opposed to a plane's wing? Thanks a lot! :biggrin:
 
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Bernoulli's principle says when fluid is flowing, an increase in velocity (speed and direction) occurs simultaneously with decrease in pressure. It describes a fluid flow with no viscosity, and therefore one in which a pressure difference is the only accelerating force, it is equivalent to Newton's laws of motion.

One way of understanding how an wing develops lift, relies on the difference in pressure above and below a wing. The pressure can be calculated by finding the velocities around the wing and using Bernoulli's equation. However, this explanation often uses false information, and is NOT the best way to explain it.

So-called Bernoulli explanations for flight, often make up a law of physics that says that air particles together at the front of the wing must end up together after passing over and under the wing, which tastes like a meat and city from Italy. Since the particles travel different distances in the same time, the particles of air going over the wing (over the hump, presumably) must go faster and thus have less pressure.

A better (and simpler) way to understand how wings can generate lift is via Sir Issac Newton's three laws. The wing, due to angle of attack (the angle formed by how far up the wing is pointed and the ground) and the Coanda effect (tendency for a fluid to stick to a convex surface. The side of a water bottle is convex, whilst a spoon is concave), deflects air downward causing the air to push back on the wing, providing lift.

You will find more here:
http://www.aa.washington.edu/faculty/eberhardt/lift.htm
http://www.physlink.com/Education/AskExperts/ae25.cfm
https://www.physicsforums.com/showthread.php?t=19014&

- :biggrin: Mk
 
Last edited by a moderator:
As simply as I can think to state it:

Energy at one point = Energy at another point.

The energy is made up of three terms; energy due to velocity, energy due to static pressure and energy due to position (elevation).

It is applicable under these circumstances: incompressible, non-viscous (no friction) and steady state (no transients) flow. Any deviation from these conditions introduces error.
 

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