Bernoulli's Principle

1. FLUID MECHANICS Presentation Bernoulli’s Principle Umar Tariq Husnnain Javeed Adil Faraz Muhammad Zaroon

2. Bernoulli’s Principle

3. Bernoulli’s Principle Theory - Introduction Presented by Daniel Bernoulli in his book Hydrodynamica   in 1738

4. Bernoulli’s Principle Theory - Statement Increase in the speed of the fluid occur simultaneously with a decrease in pressure or a decrease in the fluid's potential energy. OR In a horizontal pipe, the highest fluid pressure is in the section where the flow speed is the lowest, and the lowest pressure is at the section where the flow speed is the biggest. APPLICABLE : INCOMPRESSIBLE - NON VISCOS - NON STEADY

5. Bernoulli’s Principle Theory - Explanation Figure Section of pipe shown above Bernoulli’s Equation can be written as

6. Bernoulli’s Principle Theory - E quation Where (in SI units)       P= static pressure of fluid at the cross section ρ = density of the flowing fluid   g= acceleration due to gravity; v = mean velocity of fluid flow at the cross section h= elevation head of the center of the cross section with respect to a datum.

7. Bernoulli’s Principle APPLICATIONS

8. Bernoulli’s Principle Application - LIFT

9. Bernoulli’s Principle Application - LIFT

10. Bernoulli’s Principle Application - LIFT Fast Moving Air; Low Air Pressure Air travels farther Slow Moving Air; High Air Pressure airfoil Leading edge Trailing edge AirFoil

11. Bernoulli’s Principle Application - Spoilers Spoiler provides better stability and avoids lift

12. Bernoulli’s Principle Application - Spoilers greater air speed less pressure less air speed more pressure

13. Bernoulli’s Principle Application - Tennis Ball

14. Bernoulli’s Principle Application - Tennis Ball

15. Bernoulli’s Principle Application - Base Ball

16. Bernoulli’s Principle Application - Mountains

17. Bernoulli’s Principle Application – Ping Pong Ball

18. Bernoulli’s Principle Application – Atomizer

19. Bernoulli’s Principle Application – Carburetor

20. Bernoulli’s Principle Application – Atomizer Determining the velocity and debit of water spray in perforated tank

21. Bernoulli’s Principle Application – Venturi tube A 2 < A 1 ; V 2 > V 1 According to Bernoulli’s Law, pressure at A 2 is lower. Choked flow: Because pressure cannot be negative, total flow rate will be limited. This is useful in controlling fluid velocity.

22. Bernoulli’s Principle Conclusions Aerodynamics Sports Racing Industry Daily life significance.

23. Bernoulli’s Principle