Bernoulli, lift and cause & effect

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    Bernoulli Cause Lift
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SUMMARY

This discussion centers on the complex interaction between lift generation and the principles of fluid dynamics, particularly focusing on Bernoulli's law and Newton's laws. Doug McLean's paper, "Aerodynamic Lift, Part 2: A Comprehensive Physical Explanation," argues against the simplistic view that pressure differences solely cause velocity changes. Instead, it emphasizes a reciprocal relationship where both pressure and velocity fields influence each other simultaneously. The conversation highlights the importance of understanding these interactions to accurately explain how lift is generated around an airfoil.

PREREQUISITES
  • Understanding of Bernoulli's law and its application in fluid dynamics.
  • Familiarity with Newton's second and third laws of motion.
  • Knowledge of aerodynamic principles, particularly concerning airfoil design.
  • Basic concepts of viscosity and circulation in fluid flow.
NEXT STEPS
  • Study Doug McLean's "Aerodynamic Lift, Part 2: A Comprehensive Physical Explanation" for in-depth insights on lift generation.
  • Research the Hall effect and its implications for understanding fluid dynamics and electrical currents.
  • Explore the concept of circulation and Kelvin's theorem in relation to lift and drag forces on airfoils.
  • Investigate the role of viscosity in fluid dynamics and its impact on airflow around wings.
USEFUL FOR

Aerospace engineers, physics educators, and students interested in the principles of flight and fluid dynamics will benefit from this discussion. It provides a deeper understanding of the interactions between pressure and velocity in lift generation, essential for anyone involved in aerodynamics or aircraft design.

  • #31
Consider the following, then, please.

Take a sheet of A4 paper and grip the shorter edge between your fingers. The other end of the paper flops downwards.

Now, draw the paper through the air, and the lower edge rises up!

You only need the pressure from the air underneath it being accelerated down to create lift.

Of course, with an aerofoil design you get both that effect AND the flow of air over the top that stays in laminar flow over the top, due to Coanda (resistance to flow separation from the surface), thus follows the profile of the wing (downwards), making for an efficient wing.

Of course, in the stall this is where the flow separates and this exposes the integral nature of the pressure on the top to the bottom, if the pressure on the top becomes larger than under it (stalled air, high pressure) then of course there can never be lift.

But you only 'need' the extra pressure from underneath. No 'Bernoulli' low pressure on top is necessary, though it is an inevitability and modern wing designs take advantage of that, just not 'essential'. I would say low pressure on the top of the wing is effect not cause, but it's not something that can be teased apart, the two happen together.

To prove that applies to the paper example, here are two alternative variations.

First, glue the top edge of the paper to an A4 sheet of card and then grip them both so the card is held horizontal and the paper flops down. Now draw the arrangement through the air. What happens? The paper STILL lifts, yet air cannot flow over the top because there is a piece of cardboard stopping it.

Second, put lots of holes through the paper with a pencil. Now, the pressure on the bottom can neutralise any low pressure on top. What happens? Still the paper lifts, not so much but it lifts.

In fact you can do it with a string bag and still get the same effect.

Or even more extreme, a rope hanging from a helicopter. The rope still lifts as it is pulled through the air.
 
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