Applications of Bernoulli’s Principle faster speed slower speed more pressureless pressure If no change in height: P + ½ρv 2 = constant P+ ρgy + ½ ρv.

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Presentation transcript:

Applications of Bernoulli’s Principle

faster speed slower speed more pressureless pressure If no change in height: P + ½ρv 2 = constant P+ ρgy + ½ ρv 2 = constant

As the speed of a fluid increases, the pressure in the fluid decreases. P α 1/v

Motion of fluid energykinetic Pressure in fluidenergy potential KE + PE is constant

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AIRFOIL On top: greater air speed and less air pressure On bottom: less air speed and more air pressure

DRAG THRUST LIFT GRAVITY

v1v1 v2v2 Net force on wing? ½ Aρ(v 2 2 – v 1 2 ) ρ air = 1.29 kg/m 3

Spoiler – airfoil reversed greater air speed less pressure less air speed more pressure net force: downward

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slow air speed fast air speed

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