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

## Presentation on theme: "Applications of Bernoullis Principle faster speed slower speed more pressureless pressure If no change in height: P + ½ρv 2 = constant P+ ρgy + ½ ρv."— Presentation transcript:

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2 Applications of Bernoullis Principle

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

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

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

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

7 Bernoulli & Flight BernoullisBernoullis Principle is what allows birds and planes to fly. TheThe secret behind flight is under the wings.

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

10 DRAG THRUST LIFT GRAVITY

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

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

13 Racecar Spoiler provides better traction and avoids lift

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

15 slow air speed fast air speed

16 Curve Ball

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18 Golf ball dimples

19 Winds over a mountain

20 Shower Curtain

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

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