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A serious flaw common to all the Bernoulli-based explanations is that they imply that a speed difference can arise from causes other than a pressure difference, and that the speed difference then leads to a pressure difference, by Bernoulli's principle. This implied one-way causation is a misconception.
Example 3.5 and p.116 Bernoulli's principle can also be derived directly from Isaac Newton's second Law of Motion. When fluid is flowing horizontally from a region of high pressure to a region of low pressure, there is more pressure behind than in front. This gives a net force on the volume, accelerating it along the streamline. [a] [b] [c]
Streamlines are closer spaced immediately above the cylinder than below, so the air flows faster past the upper surface than past the lower surface. Bernoulli’s principle shows that the pressure adjacent to the upper surface is lower than the pressure adjacent to the lower surface. The Magnus force acts vertically upwards on the cylinder. [14]
Dynamic pressure is one of the terms of Bernoulli's equation, which can be derived from the conservation of energy for a fluid in motion. [1] At a stagnation point the dynamic pressure is equal to the difference between the stagnation pressure and the static pressure, so the dynamic pressure in a flow field can be measured at a stagnation point ...
Bernoulli's principle – In fluid dynamics, Bernoulli's principle states that an increase in the speed of a fluid occurs simultaneously with a decrease in pressure or a decrease in the fluid's potential energy. [30]: Ch.3 [31]: 156–164, § 3.5
Additionally, Bernoulli's equation is a solution in one dimension to both the momentum and energy conservation equations. The ideal gas law or another such equation of state is often used in conjunction with these equations to form a determined system that allows the solution for the unknown variables.
The same principles apply to cars. The Bernoulli principle is not the only aspect of mechanics in generating ground-effect downforce. A large part of ground-effect performance comes from taking advantage of viscosity. In the tarp example above, neither the tarp nor the ground is moving.
A tumblewing or "tumble wing" or "tumbling wing" is a glider or kite wing design which rotates about an axis transverse to the apparent wind, not necessarily horizontal. Tumble wings are frequently employed in wind turbines (such as the Savonius design), and are also used in some types of confetti.