Applications of Bernoulli Principle

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Applications of Bernoulli’s Principle:

Applications of Bernoulli’s Principle

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faster speed slower speed more pressure less pressure If no change in height: P + ½ ρ v 2 = constant P+ ρ gy + ½ ρ v 2 = constant

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

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Motion of fluid energy kinetic Pressure in fluid energy potential KE + PE is constant

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d d/4 v If incompressible fluid (density = ρ ), change in pressure?

Bernoulli & Flight:

Bernoulli & Flight Bernoulli’s Principle is what allows birds and planes to fly. The secret behind flight is ‘under the wings.’

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

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DRAG THRUST LIFT GRAVITY

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

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

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Racecar Spoiler provides better traction and avoids lift

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Wind over a roof v v = 0 p atm p roof P atm = P roof + ½ ρ v 2

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slow air speed fast air speed

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Curve Ball

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Golf ball dimples

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Winds over a mountain

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Shower Curtain

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Atomizer – As air passes at top of tube, the pressure decreases and fluid is drawn up the tube.

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