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Applications of Bernoulli’s Principle

Applications of Bernoulli’s Principle. P+ ρ gy + ½ ρ v 2 = constant. If no change in height: P + ½ ρ v 2 = constant. slower speed. faster speed. more pressure. less pressure. As the speed of a fluid increases , the pressure in the fluid decreases . P α 1/v. kinetic.

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Applications of Bernoulli’s Principle

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  1. Applications of Bernoulli’s Principle

  2. P+ ρgy + ½ ρv2 = constant If no change in height: P + ½ρv2 = constant slower speed faster speed more pressure less pressure

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

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

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

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

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

  8. LIFT THRUST DRAG GRAVITY

  9. v2 v1 Net force on wing? ½ Aρ(v22 – v12) ρair = 1.29 kg/m3

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

  11. Racecar Spoiler provides better traction and avoids lift

  12. Wind over a roof Patm = Proof + ½ ρv2 v proof v = 0 patm

  13. slow air speed fast air speed

  14. Curve Ball

  15. Golf ball dimples

  16. Winds over a mountain

  17. Shower Curtain

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

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